2026-2027 Academic Catalog

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Engineering Science and Mechanics (ESM)

ESM 1114 - Survey Biomed Engr (1 credit) 
Scope and history of BME, engr for diagnosis, therapy, and rehabilitation of living systems, medical electronics and instrumentation, non-invasive diagnostic imaging, life support equipment, automation/quantification of medical data, biological signal analysis, clinical engr, biomechanics, biotechnology, genetic engr, bionics, biodynamics, bioastronautics, environmental engr, biomaterials, space medicine, prosthetics, orthotics, artificial organs, artificial intelligence, studies of engr contributions to health care and physiological research. I
Instructional Contact Hours: (2 Lec, 1 Crd) 
ESM 2014 - Professnl Dvlpmnt Seminar ESM (1 credit) 
Topics designed to foster the professional development of the ESM student. ESM program objectives and outcomes. Professional careers, employment opportunities, expectations to the profession. Technical concentration within the ESM major. Ethical decision-making, safe and life-long learning.
Instructional Contact Hours: (1 Lec, 1 Crd) 
ESM 2104 - Statics (3 credits) 
Vector mechanics of forces and moments, free-body diagrams, couples, resultants, equilibrium of particles and rigid bodies in two and three dimensions, forces in trusses, frames, and machines, centroids, centers of mass, distributed forces, internal shear forces and bending moments in beams, shear and moment diagrams, friction, belt friction, area of moments of inertia, parallel axis theorem.
Prerequisite(s): MATH 1226 
Corequisite(s): PHYS 2305 AND (MATH 2204 or MATH 2204H or MATH 2406H) 
Instructional Contact Hours: (3 Lec, 3 Crd) 
ESM 2114 - Statics & Structures (3 credits) 
Vector algebra of forces, movements, couples and resultants. Free-body diagrams. Equilibrium of particles and rigid bodies in two and three dimensions. Friction. Forces in trusses and frames. Centroids, centers of mass, area moments of inertia. Internal axial forces, shear forces, and bending moments in bars in beams. Shear and moment diagrams. Stress and strain in bars in beams.
Corequisite(s): MATH 2204 or MATH 2204H or MATH 2406H. 
Instructional Contact Hours: (3 Lec, 3 Crd) 
ESM 2204 - Mechanics of Deformable Bodies (3 credits) 
Concepts of stress, strain, and deformation. Factor of safety. Stress-strain relationships and material properties. Stress concentrations. Area moments of inertia. Axially loaded members, torsionally loaded members, bending of beams. Shear and moment diagrams. Stresses due to combined loading. Thin-walled pressure vessels. Transformation of stress including Mohrs circle. Beam deflections and buckling stability.
Prerequisite(s): (ESM 2104 or ESM 2114 or AOE 2014) and (MATH 2204 or MATH 2204H or MATH 2406H) 
Instructional Contact Hours: (3 Lec, 3 Crd) 
ESM 2304 - Dynamics (3 credits) 
Vector treatment of the kinematics and kinetics of particles and rigid bodies, Newtons laws, work and energy, impulse and momentum, impact, mass moments of inertia, rotating axes.
Prerequisite(s): (ESM 2104 or AOE 2014) and (MATH 2204 or MATH 2204H or MATH 2406H) 
Corequisite(s): MATH 2214 
Instructional Contact Hours: (3 Lec, 3 Crd) 
ESM 2974 - Independent Study (1-19 credits) 
Instructional Contact Hours: Variable credit course 
ESM 2984 - Special Study (1-19 credits) 
Instructional Contact Hours: Variable credit course 
ESM 2994 - Undergraduate Research (1-19 credits) 
Instructional Contact Hours: Variable credit course 
ESM 2994H - Undergraduate Research (1-19 credits) 
Instructional Contact Hours: Variable credit course 
ESM 3024 - Introduction to Fluid Mechanics (3 credits) 
Fluid properties. Hydrostatics. Derivation and application of the mass, momentum, and energy conservation equations. Dimensional analysis and similitude. Introduction to analyses of pipe flows and piping systems, open channel flows, and fluid forces on solid bodies.
Prerequisite(s): PHYS 2305 and ESM 2104 
Instructional Contact Hours: (3 Lec, 3 Crd) 
ESM 3034 - Fluid Mechanics Laboratory (1 credit) 
Introduction to experimental fluid mechanics. Dimensional analysis. Experiments on fluid properties, flow measurements, and flow visualization, including manometry, determining hydrostatic forces on submerged surfaces, applications of the impulse-momentum principle, velocity measurements, measuring drag forces, quantifying flow in channels. Modern data acquisition techniques.
Prerequisite(s): ESM 2304 and ECE 3054 
Corequisite(s): ESM 3234 
Instructional Contact Hours: (3 Lab, 1 Crd) 
ESM 3054 - Mechanical Behavior of Materials (3 credits) 
Mechanical properties and behavior of solid materials subjected to static, cyclic, and sustained loads resulting from stress states, environments, and stress histories typical of service conditions; multiaxial failure criteria; behavior of cracked bodies; fatigue of materials; creep of materials; microstructure-property relationships; design methodologies.
Prerequisite(s): ESM 2204 and (MSE 2034 or MSE 2044 or MSE 3094 or AOE 3094 or CEE 3684) 
Instructional Contact Hours: (3 Lec, 3 Crd) 
Course Crosslist: MSE 3054 
ESM 3064 - Mechanical Behavior of Materials Laboratory (1 credit) 
Laboratory experiments on behavior and mechanical properties of solid materials. Tension, compression, bending, hardness, nano-indentation, and impact tests; behavior of cracked bodies; fatigue and crack growth tests; creep deformation; microstructure-property relationships; laboratory equipment, instrumentation, and computers.
Prerequisite(s): ESM 2204 
Corequisite(s): ESM 3054 
Instructional Contact Hours: (3 Lab, 1 Crd) 
Course Crosslist: MSE 3064 
ESM 3114 - Problem Definition and Scoping in Engineering Design (1 credit) 
Define open-ended engineering design projects, identify relevant broad social, global, economic, cultural and technical needs and constraints, determine ways in which technical skills contribute to addressing complex engineering design challenges. Identify a capstone project for ESM 4015-4016. Pre-requisite: Junior standing in ESM.
Prerequisite(s): ESM 2014 
Instructional Contact Hours: (2 Lab, 1 Crd) 
ESM 3124 - Dynamics II- Analytical and 3-D Motion (3 credits) 
Review of Newtons Laws, introduction to Lagranges equations, rotating coordinate systems, particle dynamics, systems of particles, rigid-body dynamics, small amplitude oscillations, holonomic and nonholonomic constraints, phase space and energy methods.
Prerequisite(s): ESM 2304 and (MATH 2214 or MATH 2214H or MATH 2406H) and (MATH 2204 or MATH 2204H or MATH 2406H) 
Instructional Contact Hours: (3 Lec, 3 Crd) 
ESM 3134 - Dynamics III - Vibration and Control (3 credits) 
Single-degree-of-freedom vibration, n-degree-of-freedom systems, continuous systems, nonlinear systems, system stability, introduction to the feedback control of dynamic systems.
Prerequisite(s): ESM 3124 and MATH 4564 
Instructional Contact Hours: (3 Lec, 3 Crd) 
ESM 3154 - Solid Mechanics (3 credits) 
Introduction to tensors, mathematical description of deformations and internal forces in solids, equations of equilibrium, principle of virtual work, linear elastic material behavior, solution for linear elastic problems including axially and spherically symmetric solutions, stress function solutions to plane stress and strain problems, solutions to 3-D problems, energy methods.
Prerequisite(s): ESM 2204 and (MATH 2214 or MATH 2214H) 
Corequisite(s): MATH 4574 
Instructional Contact Hours: (3 Lec, 3 Crd) 
ESM 3234 - Fluid Mechanics I-Control Volume Analysis (3 credits) 
Fluid statics. Control volume approach to flow analysis: conservation laws, pipe flows, compressible flow, open channel flow.
Prerequisite(s): ESM 2304 and PHYS 2306 
Instructional Contact Hours: (3 Lec, 3 Crd) 
ESM 3274 - Biomedical Instrumentation (3 credits) 
Principles and practices of measurements, measurement standards and accuracy, specialized measurement systems used in biomedical engineering research and development, detector, transducers, signal modifying systems, readout devices, their use in the biomedical laboratory and in clinical applications.
Prerequisite(s): BIOL 1006 
Instructional Contact Hours: (2 Lec, 3 Lab, 3 Crd) 
ESM 3334 - Fluid Mechanics II-Differential Analysis (3 credits) 
Introduction to continuum mechanics for fluid systems. Fluid kinematics. Differential approach to flow analysis: conservation equations, exact solutions, potential flows, viscous flows.
Prerequisite(s): ESM 3234 or ME 3404 
Corequisite(s): MATH 4574 
Instructional Contact Hours: (3 Lec, 3 Crd) 
ESM 3444 - Mechanics Laboratory (2 credits) 
Concepts in instrumentation, data acquisition, and signal analysis. Measurements of mechanics quantities and phenomena associated with solid, fluid, and dynamical systems. Open-ended problem definition and approach formulation. Application and synthesis of engineering mechanics fundamentals to the modeling and solution of open-ended problems. Group-working skills and effective written and oral communication.
Prerequisite(s): ESM 3234 and ESM 3034 and ESM 3054 and ESM 3064 and ESM 3124 and ECE 3054 
Corequisite(s): ESM 3134, ESM 3154, ESM 3334 
Instructional Contact Hours: (1 Lec, 3 Lab, 2 Crd) 
ESM 3704 - Basic Principles of Structures (3 credits) 
Static equilibrium of forces and moments, concurrent and nonconcurrent force systems, center of gravity, concentrated and distributed loads. Solution of trusses. Stress and strain, elastic behavior of materials, cables and arches, shear, bending, and deformation in beams, indeterminate structures. Not available to students in engineering.
Instructional Contact Hours: (3 Lec, 3 Crd) 
ESM 4014 - Applied Fluid Mechanics (3 credits) 
Analysis of flow over practical configurations, panel methods, Reynolds-averaged Navier-Stokes equations, turbulent boundary layers, flow separation and three-dimensional effects. Unsteady flows, fluid-structure interactions.
Prerequisite(s): ESM 2074 and ESM 3016 
Instructional Contact Hours: (3 Lec, 3 Crd) 
ESM 4015 - Creative Design and Project (3 credits) 
Capstone senior design project. Synthesis and application of fundamental principles of engineering science and mechanics to an open-ended problem. 4015: Project proposal, including objectives, goals and plans for project. Identification of needs, constraints, and engineering standards with consideration of public health, safety, and welfare, including ethical, global, cultural, societal, environmental, and economic contexts. Proof-of-concept prototyping. Teamwork and communication of design and project progress. 4016: Design specifications with consideration of public health, safety, and welfare, as well as ethical, global, cultural, social, environmental, and economic factors where applicable. Design, test, and analysis of functional prototype. Teamwork and communication of design and project progress. Pre: Senior standing.
Prerequisite(s): ESM 3114 
Pathway Concept Area(s): 1A Discourse Advanced, 10 Ethical Reasoning 
Instructional Contact Hours: (3 Lec, 3 Crd) 
ESM 4016 - Creative Design and Project (3 credits) 
Capstone senior design project. Synthesis and application of fundamental principles of engineering science and mechanics to an open-ended problem. 4015: Project proposal, including objectives, goals and plans for project. Identification of needs, constraints, and engineering standards with consideration of public health, safety, and welfare, including ethical, global, cultural, societal, environmental, and economic contexts. Proof-of-concept prototyping. Teamwork and communication of design and project progress. 4016: Design specifications with consideration of public health, safety, and welfare, as well as ethical, global, cultural, social, environmental, and economic factors where applicable. Design, test, and analysis of functional prototype. Teamwork and communication of design and project progress. Pre: Senior standing.
Prerequisite(s): ESM 4015 
Pathway Concept Area(s): 1A Discourse Advanced, 10 Ethical Reasoning 
Instructional Contact Hours: (3 Lec, 3 Crd) 
ESM 4024 - Advanced Mechanical Behavior of Materials (3 credits) 
Mechanical behavior of materials, emphasizing solid mechanics aspects and methods for predicting strength and life of engineering components. Plasticity, failure criteria, fracture mechanics, crack growth, strain-based fatigue, and creep. Microstructure-property relationships, and laboratory demonstrations.
Prerequisite(s): ESM 3054 or MSE 3054 
Instructional Contact Hours: (3 Lec, 3 Crd) 
ESM 4044 - Mechanics of Composite Materials (3 credits) 
Introduction to the deformation, stress, and strength analysis of continuous-fiber-polymer-matrix laminated composites. Fabrication, micromechanics of stiffness and expansional coefficients, classical lamination theory (CLT). Environmentally induced stresses. Computerized implementation and design
Prerequisite(s): ESM 2204 or AOE 2024 
Instructional Contact Hours: (3 Lec, 3 Crd) 
Course Crosslist: CEE 4610 
ESM 4054 - Solid and Structural Mechanics (3 credits) 
Introduction to elasticity and continuum mechanics, plane stress and plane strain; bending of beams; deflections, shear center; torsion of general cross-section bars; comparison of elasticity solutions with strength of materials; introduction to energy methods, application of virtual work to frames, beams, and shafts; elastic instability of columns. 3D trusses, cables and arches; flexibility and stiffness coefficients; indeterminate structures, superposition. II
Prerequisite(s): (ESM 2204 and ESM 3054 and ESM 2074) or (MSE 3354) 
Instructional Contact Hours: (3 Lec, 3 Crd) 
ESM 4064 - Experimental Mechanics (3 credits) 
Analytical and experimental methods for measuring strain fields in elastic bodies including mechanical, electrical, and optical methods (using electric resistance strain gages, photoelasticity, moire interferometry, and crack extension gages).
Prerequisite(s): ESM 2204 
Instructional Contact Hours: (2 Lec, 2 Lab, 3 Crd) 
ESM 4084 - Engineering Design Optimization (3 credits) 
Use of mathematical programming methods for engineering design optimization including linear programming, penalty function methods, and gradient projection methods. Applications to minimum weight design, open-loop optimum control, machine design, and appropriate design problems from other engineering disciplines.
Prerequisite(s): MATH 2224 or MATH 2204 or MATH 2204H 
Instructional Contact Hours: (3 Lec, 3 Crd) 
Course Crosslist: AOE 4084 
ESM 4094 - Computational Methods in Mechanics (3 credits) 
Finite-difference methods for parabolic, hyperbolic, and elliptic partial differential equations; explicit and implicit methods; stability analysis; sparse linear systems. Introduction to the finite-element method. Applications to engineering problems in heat transfer, fluid mechanics, solids, structural mechanics, and motion. II
Prerequisite(s): ESM 2074 and MATH 4564 
Instructional Contact Hours: (3 Lec, 3 Crd) 
ESM 4105 - Engineering Analysis of Physiologic Systems (3 credits) 
Engineering analysis of human physiology. Physiologic systems are treated as engineering systems with emphasis input-output considerations, system interrelationships and engineering analogs. 4105 - Mass and electrolyte transfer, nerves, muscles, renal system. 4106 - cardiovascular mechanics, respiratory system, digestive systems, senses.
Prerequisite(s): ESM 2304 and MATH 2214 
Instructional Contact Hours: (3 Lec, 3 Crd) 
ESM 4106 - Engineering Analysis of Physiologic Systems (3 credits) 
Engineering analysis of human physiology. Physiologic systems are treated as engineering systems with emphasis input-output considerations, system interrelationships and engineering analogs. 4105 - Mass and electrolyte transfer, nerves, muscles, renal system. 4106 - cardiovascular mechanics, respiratory system, digestive systems, senses.
Corequisite(s): ME 3105 
Instructional Contact Hours: (3 Lec, 3 Crd) 
ESM 4114 - Nonlinear Dynamics and Chaos (3 credits) 
Motion of systems governed by differential equations: stability, geometry, phase planes, bifurcations, Poincare sections, point attractors, limit cycles, chaos and strange attractors, Lyapunov exponents. Forced, nonlinear oscillations: jump phenomena, harmonic resonances, Hopf bifurcations, averaging and multiple-scales analysis. Systems governed by discrete maps: return maps, cobweb plots, period-multiplying bifurcations, intermittency, delay coordinates, fractal dimensions.
Prerequisite(s): (ESM 2304 or PHYS 2504) and (MATH 2214 or MATH 2214H) 
Instructional Contact Hours: (3 Lec, 3 Crd) 
Course Crosslist: AOE 4514 
ESM 4124 - Multi-Body Mechanics and Visualization (3 credits) 
Spatial geometry, vector algebra, three-dimensional rotations, reference frames, generalized coordinates, generalized speeds, configuration constraints, velocity constraints, constraint singularities, kinematic differential equations, force, torque, energy, particle dynamics, rigid-body dynamics, computer algebra, computer animations.
Prerequisite(s): MATH 1114 and MATH 2224 
Instructional Contact Hours: (3 Lec, 3 Crd) 
ESM 4154 - Nondestructive Evaluation of Materials (3 credits) 
Concepts and methods of nondestructive evaluation of materials. Discussion of techniques and mathematical bases for methods involving mechanical, optical, thermal, and electromagnetic phenomena; design for inspectability; technique selection criteria; information processing and handling; materials response measurement and modeling; signal analysis.
Prerequisite(s): ESM 3054 and (PHYS 2206 or PHYS 2306) 
Instructional Contact Hours: (3 Lec, 3 Crd) 
ESM 4194 - Sustainable Energy Solutions for a Global Society (3 credits) 
Addresses energy metrics, global and US energy supply and demand, transitional energy sources (natural gas, petroleum, coal, nuclear), sustainable/renewable source (solar, geothermal, hydro, tidal, wind, biofuels), and methods for increasing efficiencies (energy storage, batteries, green building, conservation). Options for transportation, electricity, lighting and heating needs of industry, agriculture, community, and citizens. Production, transmission, storage, and disposal issues considered in the context of global political, economic, and environmental impacts.
Prerequisite(s): (CHEM 1035 or CHEM 1055) and PHYS 2306 
Instructional Contact Hours: (3 Lec, 3 Crd) 
Course Crosslist: ME 4194 
ESM 4204 - Musculoskeletal Biomechanics (3 credits) 
Skeletal anatomy and mechanics. Muscle anatomy and mechanics. Theory and application of electromyography. Motion and force measuring equipment and techniques including force platforms. Inverse dynamics modeling of the human body. Current topics in musculoskeletal biomechanics research.
Prerequisite(s): ESM 2304 and (CS 1044 or CS 1064 or CS 1114 or AOE 2074 or ESM 2074 or ME 2004 or BMES 2074) 
Instructional Contact Hours: (3 Lec, 3 Crd) 
Course Crosslist: BMES 4214 
ESM 4224 - Biodynamics and Control (3 credits) 
Application of Lagrange mechanics to study of human movement dynamics and neuromuscular control of multi-degree-of-freedom systems. Computational simulation of forward-dynamics and state-space linear control of human movement to investigate functional performance and neuromuscular pathology.
Prerequisite(s): ESM 2304 and (CS 1044 or CS 1064 or CS 1114 or AOE 2074 or ESM 2074 or ME 2004 or BMES 2074) 
Instructional Contact Hours: (3 Lec, 3 Crd) 
Course Crosslist: BMES 4224 
ESM 4234 - Mechanics of Biological Systems (3 credits) 
Anatomy and physiology of biological systems such as cells, tissues, and organs. Experimental techniques and mechanical tests for determining the mechanical behavior of biological systems. Simplified mechanics-based mathematical models of biological systems. Specific biological systems include cells, tissues, and organs of the musculoskeletal, cardiovascular, integumentary system, and reproductive systems.
Prerequisite(s): ESM 2204 and MATH 2214 and MATH 2114 
Instructional Contact Hours: (3 Lec, 3 Crd) 
Course Crosslist: BMES 4234 
ESM 4245 - Mechanics of Animal Locomotion (3 credits) 
4245: Mechanical and biological principles of terrestrial animal locomotion, including walking, running, jumping, climbing, burrowing, and crawling. Terrestrial locomotion- based bio-inspired design. 4246: Mechanical and biological principles of animal locomotion in fluids, including active and gliding flight, swimming, jetting, and running on water. Engineering design inspired by fluid based biological locomotion.
Prerequisite(s): ESM 2204 and ESM 2304 
Instructional Contact Hours: (3 Lec, 3 Crd) 
ESM 4246 - Mechanics of Animal Locomotion (3 credits) 
Mechanical and biological principles of of animal locomotion in fluids, including active and gliding flight, swimming, jetting, and running on water. Enginneering desgn inspired by fluid-based biological locomotion.
Corequisite(s): ESM 3024 or ESM 3234 or ME 3414 
Instructional Contact Hours: (3 Lec, 3 Crd) 
ESM 4304 - Hemodynamics (3 credits) 
Study of the human cardiovascular system and blood flow. Anatomy and physiology of the human heart, vascular system, and its organization. Blood physiology and rheology. Non-Newtonian blood flow models. Steady and pulsatile blood flow in rigid and elastic arteries. Pressure waves in elastic arteries. Three-dimensional blood flow in the aortic arch and flow around heart valves.
Prerequisite(s): ESM 3334 or ME 3404 or ME 3414 
Instructional Contact Hours: (3 Lec, 3 Crd) 
ESM 4404 - Fundamentals of Professional Engineering (2 credits) 
A refresher of basic principles and problem solving techniques involving twelve subject areas most common to all engineering curricula. The topics include those tested by the National Council of Engineering Examiners on the EIT (Engineer in Training) examination, the first requirement, in all fifty states, toward P.E. (Professional Engineer) licensing. Duplicates material of other engineering courses and impracticable for non-engineers, hence not usable for credit toward any degree. Pre: Junior and senior standing in Engineering or in Building Construction or Graduate students in Engineering.
Instructional Contact Hours: (2 Lec, 2 Crd) 
ESM 4444 - Stability of Structures (3 credits) 
Introduction to the methods of static structural stability analysis and their applications. Buckling of columns and frames. Energy method and approximate solutions. Elastic and inelastic behavior. Torsional and lateral buckling. Use of stability as a structural design criterion.
Prerequisite(s): AOE 3024 or CEE 3404 
Instructional Contact Hours: (3 Lec, 3 Crd) 
Course Crosslist: AOE 4054 
ESM 4614 - Probability-Based Modeling, Analysis, and Assessment (3 credits) 
Uncertainty analysis of engineering data, parameters estimation, probability concepts, random variables, functions of random variables, probability-based performance functions and failure modes, risk and reliability functions, probability of failure and safety index, random sequences and stochastic processes, correlation functions and spectral densities, return period and extreme values, failure rates, performance monitoring and service life prediction.
Prerequisite(s): ESM 2204 
Instructional Contact Hours: (3 Lec, 3 Crd) 
Course Crosslist: BMES 4614 
ESM 4734 - An Introduction to the Finite Element Method (3 credits) 
The finite element method is introduced as a numerical method of solving the ordinary and partial differential equations arising in fluid flow, heat transfer, and solid and structural mechanics. The classes of problems considered include those described by the second-order and fourth-order ordinary differential equations and second-order partial differential equations. Both theory and applications of the method to problems in various fields of engineering and applied sciences will be studied.
Prerequisite(s): (CS 3414 or MATH 3414 or AOE 2074 or ESM 2074) and (MATH 2224 or MATH 2224H or MATH 2204 or MATH 2204H) 
Instructional Contact Hours: (3 Lec, 3 Crd) 
Course Crosslist: AOE 4024 
ESM 4904 - Project and Report (1-19 credits) 
Instructional Contact Hours: Variable credit course 
ESM 4974 - Independent Study (1-19 credits) 
Instructional Contact Hours: Variable credit course 
ESM 4974H - Independent Study (1-19 credits) 
Instructional Contact Hours: Variable credit course 
ESM 4984 - Special Study (1-19 credits) 
Instructional Contact Hours: Variable credit course 
ESM 4994 - Undergraduate Research (1-19 credits) 
Instructional Contact Hours: Variable credit course 
ESM 4994H - Undergraduate Research (1-19 credits) 
Honors
Instructional Contact Hours: Variable credit course 
ESM 5004 - Scientific Communication in Engineering Mechanics (2 credits) 
Strategies and techniques for effective scholarly and professional communication. Preparation for writing journal and conference papers, developing grant proposals. Critical analysis of the presentation of research articles and grant proposals. Designing and presenting conference talks and posters. Seminar presentations. Informal communication. Ethics in communication. Pre: Graduate Standing.
Instructional Contact Hours: (2 Lec, 2 Crd) 
ESM 5014 - Introduction to Continuum Mechanics (3 credits) 
Analysis of stress and deformation at a point. Development of the basic equations of a continuous medium by applying the basic laws of conservation of mass, linear momentum, moment of momentum and those of thermodynamics. Study of constitutive axioms and constitutive relations for fluids and solids. Specialization of the field equations to simple boundary-value problems of solid mechanics and fluid mechanics with simple solutions.
Prerequisite(s): ESM 3015 
Instructional Contact Hours: (3 Lec, 3 Crd) 
ESM 5024 - Intro to Solid Mechanics (3 credits) 
Review of fundamental solid mechanics concepts including strain, stress. Nonlinear and linear elasticity, yield, elastic-plastic problems, flow plasticity, flow instabilities, viscoelasticity, viscoplasticity, creep, and fracture.
Instructional Contact Hours: (3 Lec, 3 Crd) 
ESM 5044G - Advanced Mechanics of Composite Materials (3 credits) 
Introduction to the deformation, stress, and strength analysis of continuous-fiber-polymer-matrix laminated composites. Fabrication, micromechanics of stiffness and expansional coefficients, classical lamination theory. Environmentally induced stresses. Computerized implementation and design. Pre: Graduate standing.
Instructional Contact Hours: (3 Lec, 3 Crd) 
Course Crosslist: CEE 5610 
ESM 5054 - Introduction to Fluid Mechanics (3 credits) 
Fundamentals of fluid mechanics, including approximations, flow regimes, boundary conditions, vorticity, Bernoulli equations, boundary layers, lift, separation and drag, introduction to turbulence, waves in fluids.
Prerequisite(s): ESM 5014 
Instructional Contact Hours: (3 Lec, 3 Crd) 
ESM 5064 - Structural Optimization (3 credits) 
Structural optimization via calculus of variations. Application of techniques of mathematical programming to optimize trusses, beams, frames, columns, and other structures. Sensitivity calculation of structural response. Approximation techniques and dual and optimality criteria methods. A background in optimization is necessary.
Instructional Contact Hours: (3 Lec, 3 Crd) 
Course Crosslist: AOE 5064 
ESM 5114 - Topics in Composite Mechanics (3 credits) 
In-depth study of a selected topic in analysis of composite materials, such as mechanics of composite strength and lifetime, mechanics of laminated composite structures, mechanics of discontinuous fiber composites. Includes 3D anisotropic constitutive behavior and stress analysis. May be repeated three times with different content for a maximum of 9 credits. Pre: Graduate standing.
Prerequisite(s): ESM 5044G 
Instructional Contact Hours: (3 Lec, 3 Crd) 
Repeatability: up to 9 credit hours 
ESM 5144 - Deformation and Fracture of Materials (3 credits) 
Deformation and fracture of engineering materials is considered in the context of solid mechanics and engineering methods for predicting strength and life. Topics include plasticity, failure criteria, fracture mechanics, crack growth, strain-based fatigue, and creep. Microstructure-property relationships are discussed. Laboratory demonstrations of behavior in mechanical tests are included. Partially duplicates material in ESM 4024 and both should not be taken.
Prerequisite(s): ESM 3054 
Instructional Contact Hours: (3 Lec, 3 Crd) 
Course Crosslist: MSE 5144 
ESM 5174 - Polymer Viscoelasticity (3 credits) 
Constitutive models of linear viscoelastic materials, experimental aspects, polymer response to mechanical and electrical inputs, solid state NMR and microwave interactions with polymers, free volume theories, temperature and environmental effects on polymers, physical aging of glasses. Consent required.
Instructional Contact Hours: (3 Lec, 3 Crd) 
Course Crosslist: CHEM 5174 
ESM 5194 - Photomechanics (3 credits) 
Study of diverse experimental methods with a common basis in optical interference. Physical analyses of methods from classical, holographic and moire interferometry and related technqiues. Fringe pattern interpretation and data reduction. Laboratory demonstrations and practice. Applications to macromechanics and micromechanics of metals, composites, and other solids. II
Instructional Contact Hours: (2 Lec, 3 Lab, 3 Crd) 
ESM 5204 - Composites Manufacturing (3 credits) 
Fundamentals of polymeric matrix composite manufacturing. Mathematical models of curing, consolidation, and void formation processes are studied. Prepregging methods and effects of processing on mechanical properties are discussed. Introduction to commonly used manufacturing processes. Laboratory demonstrations. I
Prerequisite(s): ESM 4044 
Instructional Contact Hours: (3 Lec, 3 Crd) 
ESM 5224 - Advanced Musculoskeletal Biomechanics (3 credits) 
Skeletal anatomy and mechanics. Muscle anatomy and mechanics. Theory and application of electromyography. Motion and force measuring equipment and techniques. Inverse dynamics modeling of the human body. Current topics in musculoskeletal biomechanics research. Pre: Graduate standing.
Instructional Contact Hours: (3 Lec, 3 Crd) 
Course Crosslist: BMES 5124 
ESM 5245G - Mechanics Animal Locomotion (3 credits) 
The mechanical and biological principles of animal locomotion. Comparative examples from locomotor modes including walking, running, jumping, climbing, burrowing, and crawling used to extract general principles underlying kinematics, dynamics, energetics, and control. Terrestrial locomotion-based bio-inspired design.
Instructional Contact Hours: (3 Lec, 3 Crd) 
ESM 5246G - Mechanics Animal Locomotion (3 credits) 
The mechanical and biological principles of animal locomotion. Locomotor modes including active and gliding flight, swimming, jetting, and running on water, examined from perspectives of kinematics, dynamics, energetics, and control. Engineering design inspired by fluids-based biological locomotion.
Instructional Contact Hours: (3 Lec, 3 Crd) 
ESM 5264 - Mechanics of Adhesive Bonding and Interfaces (3 credits) 
Principles of mechanics applied to adhesively bonded joints and interfaces, overview of adhesion technology, stress analysis of adhesive joints, stresses in bimaterial systems and interfaces, failure mechanisms and fracture, thermodynamic and observed toughnesses, time dependence and durability, design.
Instructional Contact Hours: (3 Lec, 3 Crd) 
Course Crosslist: ME 5264 
ESM 5304 - Mechanical and Structural Vibrations (3 credits) 
Free and forced vibration of single-degree-of-freedom systems, multi-degree-of-freedom systems, continuous systems including strings, rods, bars, and beams. Natural frequencies and modes. Rigid Body modes. Proportional and nonproportional damping. Response to harmonic, periodic, and nonperiodic excitations. Solutions by modal analysis, direct integration and Fourier Series. Approximate methods including assumed modes and the Rayleigh-Ritz method. Advanced topics chosen by instructor.
Instructional Contact Hours: (3 Lec, 3 Crd) 
Course Crosslist: AOE 5034 
ESM 5305 - Biomechanics of the Cardiovascular System (3 credits) 
5305: Mechanics of the heart, arterial blood vessels and microcirculation; history of the circulation; anatomy and physiology of the heart; mechanics of cardiac contraction; cardiac fluid mechanics; work, energy, efficiency of cardiac function. 5306: Rheology of blood; hematology; elasticity of blood vessel walls; transport processes; control of the circulation; mathematical analysis of pulsatile blood flow and pulse-wave propagation through small arteries, capillary beds and extra-corporeal devices.
Instructional Contact Hours: (3 Lec, 3 Crd) 
Course Crosslist: BMES 5305 
ESM 5314 - Intermediate Dynamics (3 credits) 
Review of Newtonian mechanics, fundamental concepts of analytical mechanics, Hamiltons principle, Lagranges equations, rigid-body dynamics, Eulers equations, gyroscopic principles, definitions of stability, geometric theory (phase-plane trajectories), limit cycles, state-space analysis, Routh-Hurwitz criterion, Liapunov direct method.
Instructional Contact Hours: (3 Lec, 3 Crd) 
ESM 5334 - Interfacial Fluid Mechanics (3 credits) 
Interfacial fluid systems involving surface tension, interfacial hydrodynamics, and phase-change heat transfer. Scaling analysis and non-dimensionalization will be used to mode a variety of interfacial phenomena relevant to fluid mechanics and phase-change heat transfer. Capillarity, surface wettability, hydrodynamics of interfaces, flow instabilities, long range forces, convective and diffusive boundary layers, homogeneous and heterogeneous nucleation, and multiphase flows. Pre: Graduating standing.
Instructional Contact Hours: (3 Lec, 3 Crd) 
Course Crosslist: ME 5444 
ESM 5414 - Nonlinear Systems (3 credits) 
Dynamics of conservative and nonconservative systems; phase planes; local and global stability; damping mechanisms; self-excited oscillators. Forced oscillations of one-degree-of-freedom systems; primary, secondary, and multiple resonances; period-multiplying bifurcations; strange attractors; chaos. Parametric excitations; Floquet theory; influence of damping and nonlinearity. Multi-degree-of-freedom systems; concepts of internal and external resonances; Hopf bifurcation. Applications to continuous systems; strings, beams, plates, and shells.
Prerequisite(s): ESM 5754 and ESM 5304 
Instructional Contact Hours: (3 Lec, 3 Crd) 
Course Crosslist: MATH 5254, ME 5414 
ESM 5454 - Elastic Stability (3 credits) 
Stability of elastic structural components under conservative loads; precise definitions of stability; energy approaches; Rayleigh-Ritz and Galerkin methods; and applications to column, arches, plates, and shells.
Prerequisite(s): CEE 3404 or AOE 3124 
Instructional Contact Hours: (3 Lec, 3 Crd) 
Course Crosslist: AOE 5054 
ESM 5554 - Turbulence and Turbulent Flows (3 credits) 
Nature and origin of turbulence, turbulent transport of momentum and heat, the dynamics of turbulence, statistical description of turbulence and spectral analysis. Examples of turbulent flows, boundary layers.
Instructional Contact Hours: (3 Lec, 3 Crd) 
Course Crosslist: CEE 5130 
ESM 5604 - Mechanics of Ceramic and Metal Composites (3 credits) 
Predictive models of elasticity, strength, toughness and life of ceramic and metal composites as a function of the constituent material properties and geometry. Particulate and fiber-reinforced materials. Micromechanics and fracture mechanics. Mechanical phenomena in composites; predictive models for composite performance; experimental results in terms of the micromechanical models; selection/design of new materials for specific applications; component reliability. Recent technological developments, experimental data, and state-of-the-art models. I
Prerequisite(s): ESM 5014 or MSE 4604 
Instructional Contact Hours: (3 Lec, 3 Crd) 
Course Crosslist: MSE 5604 
ESM 5734 - Introduction to the Finite Element Method (3 credits) 
Formulation and computer implementation of finite element models of typical equations of fluid flow, heat transfer, and solid mechanics. The problems considered include heat conduction and convection, torsion, ground water flow, electrostatics and magnetism, plane elasticity, flow of viscous incompressible fluids, and plate bending. Both theoretical development and computer program development are studied. I
Instructional Contact Hours: (3 Lec, 3 Crd) 
ESM 5744 - Energy and Variational Methods in Applied Mechanics (3 credits) 
Variational calculus, energy principles of solid mechanics, and variational methods of approximation applied to engineering problems. Derivation of equations of mechanics from energy and variational principles (i.e. virtual work principles). Formulation and solution of initial-, boundary- and eigen-value problems of engineering by direct variational methods, such as the Ritz, Galerkin, least-squares, and collocation methods.
Prerequisite(s): MATH 4425 
Instructional Contact Hours: (3 Lec, 3 Crd) 
ESM 5754 - Introduction to Perturbation Methods (3 credits) 
Asymptotic expansions and series, approximate solutions of algebraic equations, straightforward expansions and their regions of nonuniformities, the Lindstedt-Poincare technique, the method of renormalization, the method of averaging, the method of matched asymptotic expansions.
Prerequisite(s): MATH 2214 or MATH 2514 or MATH 4544 
Instructional Contact Hours: (3 Lec, 3 Crd) 
Course Crosslist: MATH 5754 
ESM 5894 - Final Examination (3 credits) 
Instructional Contact Hours: (3 Lec, 3 Crd) 
ESM 5904 - Project and Report (1-19 credits) 
Instructional Contact Hours: Variable credit course 
ESM 5944 - Seminar (1 credit) 
Discussion of current research topics in Mechanics by local and visiting scholars. May be repeated with different content for a maximum of 4 credits. Pass/Fail only. Pre: Graduate Standing.
Instructional Contact Hours: (1 Lec, 1 Crd) 
Repeatability: up to 4 credit hours 
ESM 5974 - Independent Study (1-19 credits) 
Instructional Contact Hours: Variable credit course 
ESM 5984 - Special Study (1-19 credits) 
Instructional Contact Hours: Variable credit course 
ESM 5994 - Research and Thesis (1-19 credits) 
Instructional Contact Hours: Variable credit course 
ESM 6024 - Mechanics of Soft Tissues (3 credits) 
Stress and strain tensors for large deformations, Conservation laws, Thermodynamics principles, Material symmetry, Hyperelastic materials, Chemoelasticity, Electroelasticity, Viscoelasticity, Initial and boundary conditions, Review of analytical and numerical methods for solving large deformation problems, Solutions of problems. Knowledge of Finite Element Methods at the undergraduate level is recommended.
Prerequisite(s): ESM 5014 
Instructional Contact Hours: (3 Lec, 3 Crd) 
ESM 6084 - Mechanics of Fatigue (3 credits) 
Application of elasticity, plasticity, fracture mechanics, and numerical analysis to fatigue phenomena. Study of high and low cycle ranges, high temperature effects, corrosion fatigue, mean stress effects, cumulative damage theories, stochastic aspects, and energy dissipation. I
Prerequisite(s): ESM 5014 
Instructional Contact Hours: (3 Lec, 3 Crd) 
ESM 6164 - Comp Mod Impact Biomechanics (3 credits) 
Dynamic modeling of the human body subjected to transient impact loading. A combination of finite element analysis and multi-body simulated techniques. Utilized software packages with dynamic solvers. Applications include computer-aided design for automobile safety, sports biomechanics, and military restraint systems.
Prerequisite(s): (BMES 5164 or ME 5754) or (ESM 5014 and ESM 5314) 
Instructional Contact Hours: (3 Lec, 3 Crd) 
Course Crosslist: BMES 6164 
ESM 6225 - Biodynamics & Control (3 credits) 
Study of human movement dynamics and neuromuscular control of multi-degree-of-freedom systems. 6225: Computational simulation of forward-dynamics and state-space linear control of human movement to investigate functional performance and neuromuscular pathology. 6226: Applied laboratory-based investigation and research design of human movement-control through state-of-the art measurement techniques.
Prerequisite(s): ESM 5224 or BMES 5124 or (ESM 4204 and ESM 5314) 
Instructional Contact Hours: (3 Lec, 3 Crd) 
Course Crosslist: BMES 6125 
ESM 6226 - Biodynamics & Control (3 credits) 
Study of human movement dynamics and neuromuscular control of multi-degree-of-freedom systems. 6225: Computational simulation of forward-dynamics and state-space linear control of human movement to investigate functional performance and neuromuscular pathology. 6226: Applied laboratory-based investigation and research design of human movement-control through state-of-the art measurement techniques.
Prerequisite(s): ESM 5224 or BMES 5124 or (ESM 4204 and ESM 5314) 
Instructional Contact Hours: (3 Lec, 3 Crd) 
Course Crosslist: BMES 6126 
ESM 6254 - Turbulence Modeling and Simulation (3 credits) 
In-depth study into the modeling and simulation of turbulent flows. Derivation of exact equations describing turbulent flows along with various approaches to turbulent closure. Turbulence modeling via algebraic, RANS, and Reynolds stress models. Turbulence simulation via DNS, LES and hybrid RANS/LES approaches and analysis of results. Turbulence compressibility effects, body forces, boundary conditions, wall functions, sub-grid modeling approaches, turbulence anisotropy and stress invariants, and realizability. Strengths and weaknesses of the different modeling and simulation approaches. Role of numerics in different modeling approaches. Pre: Graduating standing.
Instructional Contact Hours: (3 Lec, 3 Crd) 
Course Crosslist: AOE 6254 
ESM 6314 - Advanced Dynamics (3 credits) 
Fundamental concepts of analytical mechanics, variational principles, Lagranges equations, rigid-body kinematics and dynamics, Euler parameters, quasi-coordinates, Eulers equations, gyroscopic systems, Hamilton-Jacobi equation, transformation theory, introduction to optimal control theory, advanced concepts in stability theory.
Prerequisite(s): ESM 5314 
Instructional Contact Hours: (3 Lec, 3 Crd) 
Course Crosslist: AOE 6314 
ESM 6324 - Random Vibrations in Structures II (3 credits) 
Response of continuous linear systems to random excitations; Poisson and Markov Processes; response of nonlinear structural systems: perturbation, stochastic equivalent linearization, Gaussian closure and Markov vector approaches; hysteretic systems; nonstationary response; random fields and application notes. II
Prerequisite(s): ESM 5324 
Instructional Contact Hours: (3 Lec, 3 Crd) 
ESM 6464 - Advanced Earthquake Engineering (3 credits) 
Characteristics of earthquake motions; seismic risk analysis; design inputs -- response spectra and spectral density function; multi-degree-of-freedom classically and non-classically damped linear and nonlinear structures; spatial variation of ground motion and multiple support excitations of large structures; structure-soil interaction analysis; floor response spectra, nonstructural components, and secondary systems; passive and active structural control -- base isolation, energy dissipation devices, active and semi-active devices; elevators and rotating machines.
Prerequisite(s): ESM 5464 or CEE 5464 or ESM 5304 
Instructional Contact Hours: (3 Lec, 3 Crd) 
Course Crosslist: CEE 6464 
ESM 6504 - Ideal Flow (3 credits) 
Slender-body theory. Three-dimensional steady and unsteady flows. Virual masses and moments of inertia. Three-dimensional panel methods. Biot-Savart law. Lifting-line theory. Lifting-surface theories. Vortex-lattice methods. I
Prerequisite(s): ESM 5504 
Instructional Contact Hours: (3 Lec, 3 Crd) 
ESM 6544 - Hydrodynamic Stability (3 credits) 
Instability of liquid interfaces, convection in fluid layers, Taylor and Gortler vortices, instability of inviscid and viscous plane parallel flows, boundary-layer transition. Concepts and results of linear, nonlinear and secondary instability analysis, experiments and computer simulations. I
Prerequisite(s): ESM 5504 and ESM 5514 
Instructional Contact Hours: (3 Lec, 3 Crd) 
ESM 6734 - Finite Element Analysis (3 credits) 
Alternative finite element models; three-dimensional problems; eigenvalue problems; nonlinear formulations for fluid flow and plate bending; and mathematical properties of finite-element approximations; direct and Newton-Raphson iterative methods for the solution of nonlinear equations; computer implementation of nonlinear finite-element models.
Prerequisite(s): ESM 4734 or ESM 5734 
Instructional Contact Hours: (3 Lec, 3 Crd) 
ESM 6754 - Perturbation Methods (3 credits) 
Linear equations with variable coefficients, WKB approximation, solvability conditions, approximation of integrals, large-amplitude oscillations, nonlinear waves. II
Prerequisite(s): ESM 5754 
Instructional Contact Hours: (3 Lec, 3 Crd) 
ESM 6974 - Independent Study (1-19 credits) 
Instructional Contact Hours: Variable credit course 
ESM 6984 - Special Study (1-19 credits) 
Instructional Contact Hours: Variable credit course 
ESM 7994 - Research and Dissertation (1-19 credits) 
Instructional Contact Hours: Variable credit course