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, Benzley Ref.[29]. 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, Heyliger & Kriz Ref.[30].

Benzely's Model reproduce here

Send comments to: rkriz@vt.edu
Ronald D. Kriz, Short Bio
Engineering Science and Mechanics
College of Engineering
Virginia Tech
Blacksburg, Virginia 24061

Web Content Chronology:
Created ESM Dept On-Campus Web-server November 1997 / Modified June 16, 2000
    http://www.jwave.vt.edu/~rkriz/crcd/lectures/HomoIsoCracks.html
Moved to Off-Campus Web-server November 2014
    http://www.jwave.rkriz.net/crcd/kriz/lectures/HomoIsoCracks.html

DVD: ESM Content Archive:
DVD-ESM-Archive/esm/ESM-DVD/classes/ESM5344/ESM5344_NoteBook/crcd/lectures/HomoIsoCracks.html