Table of Contents:
  • Pt. 1. Fundamentals.
  • Introduction to Cartesian tensors
  • Stress
  • Strain
  • pt. 2. Useful constitutive laws.
  • Behavior of engineering materials
  • One-dimensional macroscopic behavior
  • One-dimensional idealized material behavior
  • Linear elastic behavior
  • Linear viscoelastic behavior
  • One-dimensional models
  • Multidimensional linear, isotropic viscoelastic laws
  • Introduction to nonlinear viscoelastic behavior: creep
  • Nonlinear viscoelastic behavior in one dimension
  • Nonlinear viscoelastic behavior in three dimensions
  • Plasticity
  • One-dimensional plasticity and viscoplasticity
  • Three-dimensional nonhardening plasticity theory
  • Three-dimensional plasticity with strain and strain-rate hardening
  • Boundary value problems
  • Summary of governing field equations
  • Key boundary value problems
  • Uniqueness theorems
  • Closed-form solutions to problems for different constitutive laws
  • pt. 3. Applications to simple structural members.
  • Flexure of beams
  • Linear elastic beams
  • Linear viscoelastic beams
  • Nonlinear viscous beams
  • Plastic behavior of beams
  • Torsion of shafts
  • Circular shafts
  • Noncircular shafts
  • Plane strain
  • Elastic plane strain
  • Linear viscoelastic plane strain
  • Nonlinear viscous and perfectly plastic plane strain
  • Plane stress
  • Elastic general plane stress
  • Elastic two-dimensional plane stress
  • Inelastic two-dimensional plane stress.