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Stress Based Failure Criteria for
Materials Science and Engineering

Richard M. Christensen
About the Author

Overview

Three dimensional failure criteria are given for various materials classes.  These include both isotropic and anisotropic material symmetries, and are applicable for macroscopic homogeneity.  In the isotropic materials form, the properly calibrated failure criteria can distinguish ductile from brittle failure for specific stress states.  Although most of the results are relevant to quasi-static failure, some are for time dependent failure conditions as well as for fatigue conditions.

 

Contents

  1. Purpose and Conditions - Attention is given to many failure related matters, but especially to the physical and mathematical basis for the failure criteria under examination.

     
  2. Yield and Failure Criteria for Isotropic Materials - Historical and modern failure criteria for isotropic materials are outlined and discussed.  A recently developed yield and failure formalism necessarily involves an inherent transition from ductile to brittle failure mechanisms across the range of materials types.
    Manuscripts of Published Papers

     
  3. Failure Criteria for Anisotropic Fiber Composite Materials - A physically based failure formulation is given for aligned fiber composite materials.  Two coordinated failure criteria are derived, one for the fiber controlled mode and one for the matrix controlled mode.  The targeted applications are to carbon fiber, polymeric matrix (or equivalent) types of systems.

     
  4. Progressive Damage Leading to Failure for Fiber Composite Laminates - (coming later)

     
  5. Cumulative Damage Leading to Failure for General Materials - (coming later)

Professor Research Emeritus Aeronautics and Astronautics

Senior Scientist Retired Materials Science &

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The First Failure Criterion

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Critical Failure Mechanism

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The Ductile-Brittle Problem

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Applications

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Looking Ahead

Acknowledgment

Copyright© 2008
Richard M. Christensen