ESM
2023-2024
ESM 5004
Scientific Communication in Engineering Mechanics
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.
Graduate
Lecture, Online Lecture
2
2
ESM 5014
Introduction to Continuum Mechanics
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.
Graduate
Lecture, Online Lecture
3
3
ESM 3015
ESM 5024
Intro to Solid Mechanics
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.
Graduate
Lecture, Online Lecture
3
3
ESM 5044G (CEE 5610)
Advanced Mechanics of Composite Materials
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.
Graduate
Lecture, Online Lecture
3
3
ESM 5054
Introduction to Fluid Mechanics
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.
Graduate
Lecture, Online Lecture
3
3
ESM 5014
ESM 5064
Structural Optimization
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.
Graduate
Lecture, Online Lecture
3
3
ESM 5114
Topics in Composite Mechanics
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.
Graduate
Lecture, Online Lecture
3
3
ESM 5044G
ESM 5124
Theory of Elasticity
Equations of equilibrium, strain-displacement, compatibility, and constitutive equations in terms of Airy and complex potential stress functions applied to plane engineering boundary value problems including beams, disks, thick-walled tubes, perforated plates, and various stress raiser problems. Three-dimensional applications to torsion, bending, semi-infinite solids. Galerkin vector, Papkovich functions.
Graduate
Lecture, Online Lecture
3
3
ESM 5014, MATH 4426
ESM 5134
Advanced Mechanics of Materials
Thick-walled cylinders and spinning disks, introduction to thin plates and shells, beams on elastic foundations, energy methods, torsion of thin-walled members, unsymmetric bending, shear center, curved beams, beam-columns and ties, introduction to plastic collapse, introductory applied elasticity.
Graduate
Lecture, Online Lecture
3
3
ESM 5144 (MSE 5144)
Deformation and Fracture of Materials
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.
Graduate
Lecture, Online Lecture
3
3
ESM 3054
ESM 5174 (CHEM 5174)
Polymer Viscoelasticity
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.
Graduate
Lecture, Online Lecture
3
3
ESM 5224 (BMES 5124)
Advanced Musculoskeletal Biomechanics
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.
Graduate
Lecture, Online Lecture
3
3
ESM 5245G
Mechanics Animal Locomotion
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.
Graduate
Lecture, Online Lecture
3
3
ESM 5246G
Mechanics Animal Locomotion
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.
Graduate
Lecture, Online Lecture
3
3
ESM 5264 (ME 5264)
Mechanics of Adhesive Bonding and Interfaces
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.
Graduate
Lecture, Online Lecture
3
3
ESM 5304 (AOE 5034)
Mechanical and Structural Vibrations
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.
Graduate
Lecture, Online Lecture
3
3
ESM 5305 (BMES 5305)
Biomechanics of the Cardiovascular System
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.
Graduate
Lecture, Online Lecture
3
3
ESM 5306
Biomechanics of the Cardiovascular System
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.
Graduate
Lecture, Online Lecture
3
3
ESM 4106
ESM 5314
Intermediate Dynamics
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.
Graduate
Lecture, Online Lecture
3
3
ESM 5334 (ME 5444)
Interfacial Fluid Mechanics
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.
Graduate
Lecture, Online Lecture
3
3
ESM 5344
Wave Propagation in Solids
Formulation and solution of propagation problems in infinite, isotropic media. Solution of the reflection-refraction problem at plane interfaces. Discussion of Rayleigh, Love, and general surface waves. General treatment of wave propagation in infinite anisotropic media. Wave diffraction phenomena. Waves in bounded media: bars and plates.
Graduate
Lecture, Online Lecture
3
3
ESM 5014
ESM 5405
Clinical Internship in Biomedical Engineering
Off-campus student exposure and participation in a planned clinical experience for those preparing to enter the field of Biomedical Engineering. On-campus lecture/lab/demonstration sessions to supplement the clinical experience. Students are placed in selected hospitals throughout the local area during two summer sessions under close supervision of a university staff member and cooperating medical personnel.
Graduate
Lab, Lecture, Online Lecture
2
3
ESM 5406
Clinical Internship in Biomedical Engineering
Off-campus student exposure and participation in a planned clinical experience for those preparing to enter the field of Biomedical Engineering. On-campus lecture/lab/demonstration sessions to supplement the clinical experience. Students are placed in selected hospitals throughout the local area during two summer sessions under close supervision of a university staff member and cooperating medical personnel.
Graduate
Lab, Lecture, Online Lecture
2
3
ESM 5414 (ME 5414) (MATH 5254)
Nonlinear Systems
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.
Graduate
Lecture, Online Lecture
3
3
ESM 5754, ESM 5304
ESM 5454 (AOE 5054)
Elastic Stability
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.
Graduate
Lecture, Online Lecture
3
3
CEE 3404 OR AOE 3124
ESM 5504
Introduction to Ideal Flow
Kelvin-Helmholtz theory of vorticity. Velocity potential. Stream function. Complex potential and conformal mapping. Introduction to two-dimensional panel methods. Thin-airfoil theory. Steady and unsteady lifting flows.
Graduate
Lecture, Online Lecture
3
3
ESM 5514
Viscous Flow
Governing equations of viscous heat-conducting gases. Exact solutions to the Navier-Stokes equations. Low- Reynolds-number flows. Incompressible and compressible boundary layers. Finite-difference methods for boundary layers. Flow separation and strong viscid-inviscid interactions: interacting boundary layers and triple deck theory.
Graduate
Lecture, Online Lecture
3
3
ESM 5014
ESM 5524
Compressible Flow I
Introduction to fundamentals of compressible fluid flow. Linearized theory, unsteady flows, steady flows, shock waves, wave interactions, method of characteristics.
Graduate
Lecture, Online Lecture
3
3
ESM 5014
ESM 5554
Turbulence and Turbulent Flows
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.
Graduate
Lecture, Online Lecture
3
3
ESM 5734
Introduction to the Finite Element Method
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
Graduate
Lecture, Online Lecture
3
3
ESM 5744
Energy and Variational Methods in Applied Mechanics
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.
Graduate
Lecture, Online Lecture
3
3
MATH 4425
ESM 5754 (MATH 5754)
Introduction to Perturbation Methods
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.
Graduate
Lecture, Online Lecture
3
3
MATH 2214 OR MATH 2514 OR MATH 4544
ESM 5894
Final Examination
Graduate
Lecture, Online Lecture
3
3
ESM 5904
Project and Report
Graduate
Research, Online Research
1 TO 19
ESM 5944
Seminar
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.
Graduate
Lecture, Online Lecture
1
1
ESM 5974
Independent Study
Graduate
Independent Study, VI
1 TO 19
1 TO 19
ESM 5984
Special Study
Graduate
Lecture, Online Lecture
1 TO 19
1 TO 19
ESM 5994
Research and Thesis
Graduate
Research, Online Research
1 TO 19
ESM 6024
Mechanics of Soft Tissues
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.
Graduate
Lecture, Online Lecture
3
3
ESM 5014
ESM 6044
Theory of Plates and Shells
Reduction of 3-D elasticity to an equivalent 2-D counterpart. Basic assumptions. Field equations of the theory of plates and shells. Linear and nonlinear theories. Buckling and vibrations. Postbuckling. Refined plate and shell theories. Implications of non-classical effects on the static, dynamic and buckling behaviors.
Graduate
Lecture, Online Lecture
3
3
ESM 5014, (MATH 4425 OR MATH 4564)
ESM 6054
Fracture Mechanics
Linear elastic and elasto-plastic models of local stress fields around crack tips. Concepts of stress intensity strain energy release rate, strain energy density. Mathematical models for dynamic crack extension and fatigue crack growth. Correlation of mathematical models with fracture toughness testing.
Graduate
Lecture, Online Lecture
3
3
ESM 5014
ESM 6164
Computational Modeling in Impact Biomechanics
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.
Graduate
Lecture, Online Lecture
3
3
(BMES 5164 OR ME 5754) OR (ESM 5014, ESM 5314)
ESM 6254 (AOE 6254)
Turbulence Modeling and Simulation
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.
Graduate
Lecture, Online Lecture
3
3
ESM 6314 (AOE 6314)
Advanced Dynamics
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.
Graduate
Lecture, Online Lecture
3
3
ESM 5314
ESM 6514
Computational Methods for Viscous Flows
Navier-Stokes equations in curvilinear systems. Thin-layer and parabolized Navier-Stokes equations. Stability analysis of finite-difference methods applied to model equations. Methods for grid generation. Finite-difference methods for compressible and incompressible Navier-Stokes equations. Spectral methods.
Graduate
Lecture, Online Lecture
3
3
ESM 5514
ESM 6714
Applied Tensor Analysis
Basis vectors, Christoffel symbols, metric tensor. Covarient, contravarient vectors and tensors. Covarient differentiation. Orthonormal systems and physical components of tensors. Surface tensors, curvature tensors, principal curvatures, geodesics and asymptotic lines. The basic ideas will be illustrated by and applied to problems in continuum mechanics, solid and fluid mechanics, rigid body dynamics, and electromagnetic theory.
Graduate
Lecture, Online Lecture
3
3
MATH 4574
ESM 6734
Finite Element Analysis
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.
Graduate
Lecture, Online Lecture
3
3
ESM 4734 OR ESM 5734
ESM 6974
Independent Study
Graduate
Independent Study, VI
1 TO 19
1 TO 19
ESM 6984
Special Study
Graduate
Lecture, Online Lecture
1 TO 19
1 TO 19
ESM 7994
Research and Dissertation
Graduate
Research, Online Research
1 TO 19