MEMA - Mechanics and Materials

MEMA 602/AERO 603 Continuum Mechanics

Credits 3. 3 Lecture Hours.

Development of field equations for analysis of continua (solids as well as fluids); conservation laws; kinematics, constitutive behavior of solids and fluids; applications to aerospace engineering problems involving solids and fluids.
Prerequisite: Graduate classification.
Cross Listing: AERO 603/MEMA 602.

MEMA 606 Multifunctional Materials

Credits 3. 3 Lecture Hours.

In-depth analysis of multifunctional materials and composites, and their novel applications.
Prerequisites: MEMA 602/AERO 603/AERO 603/MEMA 602, MSEN 601.
Cross Listing: AERO 606 and MSEN 606.

MEMA 608 Nanomechanics

Credits 3. 3 Lecture Hours.

Application of mechanics concepts to nano-scale behavior of materials. Review of continuum mechanics; Extensions to generalized continua; Nonlocal elasticity; Nano-scale plasticity. Focus on multi-scale modeling: Dislocation Dynamics; Quasi-Continuum method; Molecular dynamics with introductions to quantum mechanics and statistical mechanics.
Prerequisite: AERO 603/MEMA 602.
Cross Listing: AERO 608 and MSEN 608.

MEMA 611 Fundamentals of Engineering Fracture Mechanics

Credits 3. 3 Lecture Hours.

Understanding of the failure of structures containing cracks with emphasis on mechanics; linear elastic fracture mechanics, complex potentials of Muskhelishvili and Westergaard, J-integral, energy release rate, R-curve analysis, crack opening displacement, plane strain fracture toughness testing, fatigue crack propagation, fracture criteria, fracture of composite materials.
Prerequisite: AERO 603/MEMA 602.

MEMA 613/MSEN 610 Principles of Composite Materials

Credits 3. 3 Lecture Hours.

Classification and characteristics of composite materials; micromechanical and macromechanical behavior of composite laminae; macromechanical behavior of laminates using classical laminate theory; interlaminar stresses and failure modes; structural design concepts, testing and manufacturing techniques.
Prerequisite: MEMA 602/AERO 603.
Cross Listing: MSEN 610/MEMA 613.

MEMA 616 Damage and Failure in Composite Materials

Credits 3. 3 Lecture Hours.

Mechanisms and models related to damage and failure in composite materials subjected to mechanical loads.
Prerequisite: Courses in composite materials, elasticity.
Cross Listing: AERO 616 and MSEN 636.

MEMA 625/AERO 617 Micromechanics

Credits 3. 3 Lecture Hours.

Eigenstrains; inclusions, and inhomogeneities; Eshelby's solution for an ellipsoidal inclusion; Eshelby's equivalent inclusion method. Effective elastic properties of composites; composite spheres and cylinders models; bounds on effective moduli; Hashin-Shtrikman bounds; applications to fiber, whisker and particulate reinforced composites; introduction to micromechanics of inelastic composites and solids with damage.
Prerequisite: MEMA 602/AERO 603.
Cross Listing: AERO 617/MEMA 625.

MEMA 626/AERO 618 Mechanics of Active Materials

Credits 3. 3 Lecture Hours.

Introduction to coupled field theories: constitutive response of materials with thermal and electromagnetic coupling; microstructural changes due to phase transformations; shape memory alloys; piezoelectric and magnetostrictive materials; active polymers and solutions. Micromechanics of active composites.
Prerequisite: MEMA 602/AERO 603.
Cross Listing: AERO 618/MEMA 626.

MEMA 634/CVEN 753 Damage Mechanics of Solids and Structures

Credits 3. 3 Lecture Hours.

Damage mechanics; constitutive modeling of damage behavior of materials; application of thermodynamic laws; computational techniques for predicting progressive damage and failure; plasticity; viscoplasticity; viscoelasticity; cohesive zone modeling; fatigue and creep damage; damage in various brittle and ductile materials (e.g., metal, concrete, polymer, ceramic, asphalt, biomaterial, composites).
Prerequisite: CVEN 633 or approval of instructor.
Cross Listing: CVEN 753/MEMA 634.

MEMA 635 Structural Analysis of Composites

Credits 3. 3 Lecture Hours.

Formulation and analysis structural response of laminated composite components; bending, vibration and stability of laminated composite plates; interlaminar stresses, effect of shear deformation on structural response; numerical modeling of laminated plates.
Prerequisite: MEMA 613/MSEN 610.

MEMA 641 Plasticity Theory

Credits 3. 3 Lecture Hours.

Theory of plastic yield and flow of two and three-dimensional bodies; classical plasticity theories, unified viscoplastic theories, numerical considerations; applications and comparisons of theory to experiment.
Prerequisite: MEMA 602/AERO 603.
Cross Listing: MSEN 641 and MEEN 666.

MEMA 646 Introduction to the Finite Element Method

Credits 3. 3 Lecture Hours.

Weak or variational formulation of differential equations governing one- and two-dimensional problems of engineering; finite element model development and analysis of standard problems of solid mechanics (bars, beams and plane elasticity), heat transfer and fluid mechanics; time-dependent problems; computer implementation and use of simple finite element codes in solving engineering problems.
Prerequisite: Senior or graduate classification.

MEMA 647 Theory of Finite Element Analysis

Credits 3. 3 Lecture Hours.

Finite elements models of a continuum; virtual work principle; plane stress and plane strain finite element models; bending of plates; axisymmetric problems; three-dimensional stress analysis; isoparametric formulations; finite element computer programs to solve typical structural problems.
Prerequisite: Graduate classification or approval of instructor.

MEMA 648 Nonlinear Finite Element Methods in Structural Mechanics

Credits 3. 3 Lecture Hours.

Tensor definitions of stress and strain, finite strain, geometric and material nonlinearities; development of nonlinear finite element equations from virtual work; total and updated Lagrangian formulations; solution methods for nonlinear equations; computational considerations; applications using existing computer programs.
Prerequisite: MEMA 647 or equivalent.

MEMA 649/AERO 649 Generalized Finite Element Methods

Credits 3. 3 Lecture Hours.

Systemic introduction to the theory and practice of generalized finite element (FE) methods, including GFEM, the hp-cloud method, particle methods and various meshless methods with similar character; precise formulation of the methods are presented; known theoretical results for convergence; important issues related to implementation, issues of numerical integration.
Prerequisite: Graduate student status.
Cross Listing: AERO 649/MEMA 649.

MEMA 670 Computational Materials Science and Engineering

Credits 3. 3 Lecture Hours.

Modern methods of computational modeling and simulation of materials properties and phenomena, including synthesis, characterization, and processing of materials, structures and devices; quantum, classical, and statistical mechanical methods, including semi-empirical atomic and molecular-scale simulations, and other modeling techniques using macroscopic input.
Prerequisites: Approval of instructor; graduate classification.
Cross Listing: MSEN 670 and CHEN 670.

MEMA 689 Special Topics in...

Credits 1 to 4. 1 to 4 Lecture Hours.

Selected topics in an identified area of mechanics and materials. May be repeated for credit.
Prerequisite: Approval of instructor.