Engineering Mechanics: E M

Lower-Division Courses

E M X06. Statics.

Vector algebra, force systems, free-body diagrams; engineering applications of equilibrium, including frames, friction, distributed loads; centroids, moments of inertia.

E M X11M. Dynamics.

Kinematics, dynamics, and energy and momentum methods for points as well as 2D/3D rigid bodies. Describe and predict the motion of different types of rigid bodies in space and time. Vibrations of simple systems.

E M X19. Mechanics of Solids.

Internal forces and deformations in solids; stress and strain in elastic and plastic solids; application to simple engineering problems.

E M X19S. Topics in Engineering Mechanics.

Used to record credit the student earns while enrolled at another institution in a program administered by the University's Study Abroad Office or the school's International Engineering Education programs.

E M X19T. Topics in Engineering Mechanics.

Upper-Division Courses

E M X39. Advanced Strength of Materials.

Curved beams, shear deformation, beam columns, beams on elastic foundations; inelastic behavior of members; elementary plate bending.

E M X60. Topics in Engineering Mechanics.

Advanced work in the various areas of engineering mechanics, based on recent developments.

E M X79S. Topics in Engineering Mechanics.

Used to record credit the student earns while enrolled at another institution in a program administered by the University's Study Abroad Office or the school's International Engineering Education Programs.

Graduate Courses

E M X80. Theory of Plasticity.

Physical basis of plastic deformation; mathematical theory of incremental plasticity; total theories; numerical implementation; slip and physical theories of plastic deformation; rate dependent (viscoplastic) models; applications to several engineering problems.

E M X81. Advanced Dynamics.

Dynamics of systems of particles and rigid bodies; vibration theory; analytical dynamics, including Lagrangian and Hamiltonian formulations; dynamic stability; continuous systems.

E M X82. Nonlinear Analysis.

Methods for analyzing various types of nonlinear differential equations of dynamical systems; exact methods, perturbation and averaging techniques, direct method of Liapunov.

E M X84K. Continuum Mechanics.

Foundations of the general nonlinear theories of continuum mechanics; general treatment of motion and deformation of continua, balance laws, constitutive theory; particular application to elastic solids and simple materials.

E M X84L. Structural Dynamics.

Free and forced vibration of single-degree-of-freedom, multiple-degree-of-freedom, and continuous systems. Lagrange's equations and Hamilton's principle; discretization of continuous systems; numerical methods for response and algebraic eigenvalue problems.

E M X86K. Analytical Methods I.

Basic topics in real and complex analysis, ordinary and partial differential equations, and other areas of applied mathematics with application to applied mechanics.

E M X86L. Analytical Methods II.

Continuation of Engineering Mechanics 386K.

E M X86M. Functional Analysis in Theoretical Mechanics.

An introduction to modern concepts in functional analysis and linear operator theory, with emphasis on their application to problems in theoretical mechanics; topological and metric spaces, norm linear spaces, theory of linear operators on Hilbert spaces, applications to boundary value problems in elasticity and dynamical systems.

E M X86N. Qualitative Methods in Nonlinear Mechanics.

A study of methods for assessing the qualitative behavior of solutions to equations governing nonlinear continuum mechanics.

E M X87. Foundations of Fluid Mechanics.

Governing equations in differential and integral forms; applications to both inviscid and viscous flow problems.

E M X88. Solid Mechanics I.

Mathematical description of stress, deformation, and constitutive equations of solid mechanics; boundary value problems of elasticity.

E M X88F. Fracture Mechanics.

Griffith theory of brittle crack propagation, other theories, crack toughness testing concepts.

E M X88L. Solid Mechanics II.

Continuation of Engineering Mechanics 388. Additional topics in elasticity, plasticity, viscoelasticity, variational methods, and other areas of solid mechanics.

E M X88M. Micromechanics.

Constitutive characterization of materials based on their microstructure. Relationships between internal structure and mechanical properties for composites, polycrystals, and polymers on the basis of linear elasticity, plasticity, and theories that account for rate-dependence.

E M X88N. Mechanics of Soft Materials.

Introduction to soft tissues and soft tissue mechanics; continuum mechanics (kinematics, stress, balance laws and hyperelasticity); and nonlinear finite element analysis in soft tissue mechanics.

E M X88S. Soft Tissue Biomechanics.

Introduction to soft tissues and soft tissue mechanics; continuum mechanics (kinematics, stress, balance laws and hyperelasticity); and nonlinear finite element analysis in soft tissue mechanics.

E M X88T. Thin Film Mechanics.

Discuss an extensive overview of mechanics-related subjects including stress, strain, fracture, delamination, instability, characterization, and important applications of thin films.

E M X88V. Theory of Viscoelasticity.

Introduction to linear viscoelasticity; methods of characterizing viscoelastic material behavior; analytical and approximate solution techniques for engineering problems, including contact, wave propagation, and thermoviscoelastic problems.

E M X89J. Experimental Mechanics.

Principles and techniques of measurement in mechanics; includes discussion of strain gauges, optical interference methods, photoelasticity, and dynamic measurements.

E M X91. Behavior and Mechanics of Active/Smart Materials.

Continuum physics and thermodynamics including thermal, mechanical, electrical and magnetic behaviors of active/smart materials. Linear and non-linear behavior of ferroelectrics, ferromagnetic materials, and shape memory alloys. Crystal symmetry, domain structure, phenomenological constitutive models, phase-field modeling, and dielectric elastomers.

E M X92R. Random Vibrations.

Introduction to probability theory and its application to random excitation of linear and nonlinear systems; a probabilistic discussion of failure and fatigue in structures.

E M X93N. Numerical Methods for Flow and Transport Problems.

Approximate solution methods for flow and transport problems in engineering and applied science. Finite element, finite difference, and residual methods for linear and nonlinear problems.

E M X94. Structural Stability.

Fundamental theory of buckling of elastic structural elements such as bars, frames, rings, plates, and shells; also special stability topics including inelastic buckling, creep buckling, and buckling under dynamic loading.

E M X94F. Finite Element Methods.

Derivation and implementation of the finite element method; basic coding techniques; application to problems of stress and diffusion.

E M X94G. Computational Techniques in Finite Elements.

Organization and data management in finite element codes; element models and calculations; equation solving; preprocessing and postprocessing.

E M X94H. Advanced Theory of Finite Element Methods.

Contemporary topics in the theory and application of finite element methods.

E M X94V. Wave Propagation I.

Solutions of linear wave equations; waves in elastic media, including plates and cylinders; transient waves, transform methods, asymptotic approximation.

E M X97. Topics in Advanced Engineering Mechanics.

E M X97.1. Advanced Topics in Viscoelasticity.

E M X97.2. Individual Research.

E M X97.3. Advanced Computational Flows and Transport.

E M X97.4. Grid Generation and Adaptive Grids.

E M X97.5. Adaptive Boundary/Finite Element Methods.

E M X97.6. Introduction to Machine Learning and Data Sciences.

Discuss machine learning algorithms, including linear models, kernel machines, tree-based algorithms, density estimation, clustering, dimensionality reduction and deep neural networks; foundations of machine learning, including optimization theory, probability theory, advanced linear algebra, statistics; evaluation of machine learning methods; and convolutational neural networks.

E M X97R. Individual Research.

Must be arranged by mutual agreement between student and faculty member.

E M X97S. Mechanics Seminar.

Current topics in mechanics.

E M X97T. Computational Mechanics Seminar.

Current topics in computational mechanics.

E M X98. Thesis.

E M X98R. Master's Report.

Preparation of a report to fulfill the requirement for the master's degree under the report option.

E M X98T. Supervised Teaching in Engineering Mechanics.

Teaching methods and objectives, criteria for evaluating teaching effectiveness, procedures and regulations, laboratory teaching.

E M X99W. Dissertation.

Professional Courses