COURSE TEACHING
MAE 3040 Mechanics of Solids (Every fall)
Topics: Stress & strain theories, Inelasticity, Energy methods, Torsion, Shear center, Curved beams, Buckling, Stress concentration, Fracture
Textbook: Advanced Mechanics of Materials, 6th Edition, by Arthur P. Boresi, Richard J. Schmidt
MAE 6670 Fracture Mechanics (Odd-numbered years' spring)
Topics: Crack-tip fields, Energy release rate, Weight function analysis, Dugdale & cohesive zone model, Griffith criterion, Fracture toughness testing, Mixed-mode fracture, J integral, Elastic-plastic fracture mechanics, J-integral testing, Physical mechanisms of fracture
Reference books:
1. Advanced Fracture Mechanics, M. F. Kanninen and C. H. Popelar, Oxford University Press, 1985.
2. A Course on Nonlinear Fracture Mechanics, J. Hutchinson, Technical University of Denmark, 1979.
3. Fracture Mechanics - Fundamentals and Applications, 4th Edition, T.L. Anderson, CRC Press, 2017.
4. Fracture Mechanics lecture notes, Zhigang Suo, Harvard University.
MAE 6040 Continuum Mechanics (Every fall)
Topics: Vectors and Tensors; Stress (review); Strain & Deformation -- Kinematics, Materials derivatives, Rate-of-deformation tensor, Spin tensor, Finite strain, Eulerian & Lagrangian formulation, Deformation gradient; General Principles -- Integral transformation, Conservation of mass, Momentum principles, Principle of virtual displacements, Energy balance, Entropy & Clausius-Duhem inequality; Constitutive Equations -- Linear elasticity, Nonlinear elasticity, Plasticity.
Reference books:
1. Malvern, L. E. (1969). Introduction to the Mechanics of a Continuous Medium. (Available at USU library)
2. Bonet, J., & Wood, R. D. (1997). Nonlinear continuum mechanics for finite element analysis. Cambridge University Press. (PDF available online)
3. Chaves, E. W. (2013). Notes on continuum mechanics. Springer Science & Business Media. (PDF available online)
4. Krishna Garikipati, PhD, University of Michigan Open Course, YouTube Lectures on Continuum Physics.
MAE 5930 Special Topic: Data-Driven Modeling in Solid Mechanics (Even-numbered years' spring)