Microstructure Lectures

by

Ronald D. Kriz, Associate Professor
Engineering Science and Mechanics
Virginia Polytechnic Institute and State University
Blacksburg, Virginia 24061


Table of Contents:

  1. Introduction
  2. Cracks: Atomistic - at Interfaces - in a Continuum
  3. Cracks Near Interfaces Between Dissimilar Isotropic Materials
  4. Introduction to Mechanical Behavior of Anisotropic Laminates
  5. Laminate Singularities Caused by Anisotropy: "Free-Edge Problem"
  6. Laminate Singularities Caused by Ply Cracks
  7. Cracks Near Interfaces Between Dissimilar Anisotropic Materials

    ------ Extension to a Homogeneous Continuum ------

  8. Cracks in Homogeneous Isotropic Materials
  9. Cracks in Homogeneous Anisotropic Materials
  10. Wave Propagation in Homogeneous Isotropic/Anisotropic Materials
  11. References

8.0 Cracks in Homogeneous Isotropic Materials

Outline how enriched finite elements are used to augment existing nonsingular finite elements with singularities that exist at crack tips Ref [Benzley]. Use this enriched FEM to model crack tip singularities in a homogeneous isotropic material and compare numerical results with analytic results for Mode-I and Mode-II.

Reproduce Benzely's Model here

Course content in this section: email Dr. Ron Kriz
http://www.esm.vt.edu/~rkriz/classes/ESM5344/ESM5344_NoteBook/crcd/lectures/HomoIsoCracks.html
Original: http://www.jwave.vt.edu/crcd/kriz/lectures/HomoIsoCracks.html
Created November 1997 / Modified September 17, 2000