teaching

Three dimensional stress, strain, and displacement relationships

Hooke’s Law

Failure criteria

Energy methods

Torsion

Nonsymmetrical bending of straight beams

Shear center for thin wall beams

Curved beams

Elastic and inelastic stability of columns

Stress concentrations

Fracture mechanics

Integral Formulations and Variational Methods

Basic Steps of Finite Element Analysis (FEA)

FEA of One-Dimensional Problems

Numerical Integration and Computer Implementation

FEA of Two-Dimensional Problems

Finite Element Error Analysis

Fibers, Matrices, and Fabrication of Composites

Behavior of Unidirectional Composites

Short Fiber Composites

Analysis of Orthotropic Lamina

Analysis of Laminated Composites

Introduction to Laminated Plates and Beams

Inter-laminar Stresses and Free-Edge Effects

Introduction to Nonlinear FEM

Nonlinear Solution Procedure

Nonlinear Elastic Analysis

Variational Formulation and Linearization

Hyperelastic Material

Elastoplastcity Analysis

Numerical Integration for Elastoplasticity

Time Integration in Principal Stress Space

Lamination Theory using Micromechanics

Closed From Micromechanics 

• Voigt/Reus approximations

• Eshelby (equivalent inclusion) method

• Mori-Tanaka method

Failure Criteria and Margins of Safety (MOS)

Generalized methods of cells (GMOC)

High-fidelity generalized methods of cells (HFGMOC)

Progressive Damage and Failure