Lecture Notes
  Part I. Elasticity
  1. Introduction
  2. Tensors
  3. Hooke's Law
  4. Fundamental Equations of Elasticity
  5. 2D Elasticity
  6. Rectangular Beam
  7. Fourier Series and Transform
  8. Fourier Solution
  9. Half Space
  10. Contact
  11. Polar Coordinates
  12. Wedge and Notch
  Part II. Plasticity
  13. Fundamental Equations of Plasticity
  14. Graphical Representations
  15. Tension and Shear
  16. Plastic Bending
  18. Hardening Law
  20. Crystal Plasticity
  Part III. Fracture
  22. Slit-like Crack
  23. Energy Release Rate
  24. Linear Elastic Fracture Mechanics
  25. Elastic Plastic Fracture Mechanics
  26. Fatigue

ME 340 Elasticity and Inelasticity


The goal of the class is to provide an introduction to the theory of elasticity, plasticity and fracture and their applications. Elasticity: stress function approach to solve 2D problems and Green¿s function in 3D; applications to contact problems. Plasticity: yield surface, associative flow rule, strain hardening models; and applications to plastic bending, torsion and pressure vessels. Fracture: linear elastic fracture mechanics, J-integral, plastic zone in front of crack tip; applications to brittle fracture and fatigue crack growth. Computer programming in Matlab is used to aid analytic derivation and numerical solutions. Textbook: J. R. Barber, Elasticity, 3rd ed. Springer (2010); T. L. Anderson, Fracture Mechanics, 3rd ed. Taylor & Francis (2005).

All Notes in One PDF File