Engineering Mechanics

The faculty has approval to offer the following courses in the academic years 1999-2000 and 2000-2001; however, not all courses are taught each semester or summer session. Students should consult the Course Schedule to determine which courses and topics will be offered during a particular semester or summer session. The Course Schedule may also reflect changes that have been made to the courses listed here since this catalog was published.

Unless otherwise stated below, each course meets for three lecture hours a week for one semester.

Engineering Mechanics: E M

380. 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. Prerequisite: Graduate standing, and Engineering Mechanics 388 or the equivalent.

381. Advanced Dynamics.
Dynamics of systems of particles and rigid bodies; vibration theory; analytical dynamics, including Lagrangian and Hamiltonian formulations; dynamic stability; continuous systems. Prerequisite: Graduate standing.

382. Nonlinear Analysis.
Methods for analyzing various types of nonlinear differential equations of dynamical systems; exact methods, perturbation and averaging techniques, direct method of Liapunov. Prerequisite: Graduate standing and consent of instructor.

384K. 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. Prerequisite: Graduate standing, and Engineering Mechanics 386K or consent of instructor.

384L. Structural Dynamics.
Same as Aerospace Engineering 384P (Topic 3: 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. Prerequisite: Graduate standing and consent of instructor.

386K. Mathematical Methods in Applied Mechanics I.
Basic topics in real and complex analysis, ordinary and partial differential equations, and other areas of applied mathematics with application to applied mechanics. Prerequisite: Graduate standing.

386L. Mathematical Methods in Applied Mechanics II.
Continuation of Engineering Mechanics 386K. Prerequisite: Graduate standing, and Engineering Mechanics 386K or consent of instructor.

386M. Functional Analysis in Theoretical Mechanics.
Same as Computational and Applied Mathematics 386M. 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. Prerequisite: Graduate standing, Engineering Mechanics 386L, and Mathematics 365C.

386N. Qualitative Methods in Nonlinear Mechanics.
A study of methods for assessing the qualitative behavior of solutions to equations governing nonlinear continuum mechanics. Prerequisite: Graduate standing and Engineering Mechanics 386M.

387. Foundations of Fluid Mechanics.
Governing equations in differential and integral forms; applications to both inviscid and viscous flow problems. Prerequisite: Graduate standing.

388. Solid Mechanics I.
Same as Aerospace Engineering 384P (Topic 1: Solid Mechanics I). Mathematical description of stress, deformation, and constitutive equations of solid mechanics; boundary value problems of elasticity. Prerequisite: Graduate standing and consent of instructor.

388F. Fracture Mechanics.
Griffith theory of brittle crack propagation, other theories, crack toughness testing concepts. Prerequisite: Graduate standing, and Engineering Mechanics 388 or consent of instructor.

388L. Solid Mechanics II.
Same as Aerospace Engineering 384P (Topic 2: Solid Mechanics II). Continuation of Engineering Mechanics 388. Additional topics in elasticity, plasticity, viscoelasticity, variational methods, and other areas of solid mechanics. Prerequisite: Graduate standing, Engineering Mechanics 388, and consent of instructor.

388M. 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. Engineering Mechanics 388M and 397 (Topic: Micromechanics) may not both be counted. Prerequisite: Graduate standing and a graduate course in solid mechanics.

388V. 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. Prerequisite: Graduate standing, and Engineering Mechanics 388 or consent of instructor.

389J. Experimental Mechanics.
Principles and techniques of measurement in mechanics; includes discussion of strain gauges, optical interference methods, photoelasticity, and dynamic measurements. Two lecture hours and three laboratory hours a week for one semester. Prerequisite: Graduate standing.

392R. 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. Prerequisite: Graduate standing.

393N. 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. Prerequisite: Graduate standing.

394. 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. Prerequisite: Graduate standing, and Engineering Mechanics 388 or consent of instructor.

394F. Finite Element Methods.
Same as Aerospace Engineering 384P (Topic 4: Finite Element Methods) and Computational and Applied Mathematics 394F. Derivation and implementation of the finite element method; basic coding techniques; application to problems of stress and diffusion. Prerequisite: Graduate standing and consent of instructor.

394G. Computational Techniques in Finite Elements.
Organization and data management in finite element codes; element models and calculations; equation solving; preprocessing and postprocessing. Prerequisite: Graduate standing and Engineering Mechanics 394F.

394H. Advanced Theory of Finite Element Methods.
Contemporary topics in the theory and application of finite element methods. Prerequisite: Graduate standing, Engineering Mechanics 394F, and Engineering Mechanics 386L or the equivalent.

394V. Wave Propagation I.
Solutions of linear wave equations; waves in elastic media, including plates and cylinders; transient waves, transform methods, asymptotic approximation. Prerequisite: Graduate standing, and Engineering Mechanics 388 or consent of instructor.

397, 697, 997. Advanced Studies in Engineering Mechanics.
For each semester hour of credit earned, one lecture hour a week for one semester. May be repeated for credit when the topics vary. Prerequisite: Graduate standing and consent of instructor.

Topic 1: Advanced Topics in Viscoelasticity.

Topic 2: Individual Research.

Topic 3: Advanced Computational Flows and Transport.

Topic 4: Grid Generation and Adaptive Grids.

Topic 5: Adaptive Boundary/Finite Element Methods.

397R. Individual Research.
Must be arranged by mutual agreement between student and faculty member. May be repeated for credit. Offered on the credit/no credit basis only. Prerequisite: Graduate standing.

397S. Mechanics Seminar.
Current topics in mechanics. Conference course. May be repeated for credit. Offered on the credit/no credit basis only. All engineering mechanics graduate students are required to register for this course each semester. Prerequisite: Graduate standing.

698. Thesis.
The equivalent of three lecture hours a week for two semesters. Offered on the letter-grade basis only. Prerequisite: For 698A, graduate standing in engineering mechanics and consent of the supervising professor and the graduate adviser; for 698B, Engineering Mechanics 698A.

398R. Master's Report.
Preparation of a report to fulfill the requirement for the master's degree under the report option. The equivalent of three lecture hours a week for one semester. Offered on the letter-grade basis only. Prerequisite: Graduate standing in engineering mechanics and consent of the graduate adviser.

398T. Supervised Teaching in Engineering Mechanics.
Teaching methods and objectives, criteria for evaluating teaching effectiveness, procedures and regulations, laboratory teaching. Offered on the credit/no credit basis only. Prerequisite: Graduate standing and appointment as a teaching assistant.

399R, 699R, 999R. Dissertation.
Offered on the letter-grade basis only. Prerequisite: Admission to candidacy for the doctoral degree.

399W, 699W, 999W. Dissertation.
Offered on the letter-grade basis only. Prerequisite: Engineering Mechanics 399R, 699R, or 999R.

About the Program: Engineering Mechanics

Contents |  Chapter 1 |  Chapter 2 |  Chapter 3
Chapter 4 |  Chapter 5 |  Appendix

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