Research Papers

Failure Mechanics—Part I: The Coordination Between Elasticity Theory and Failure Theory for all Isotropic Materials

[+] Author and Article Information
Richard M. Christensen

Professor Research Emeritus
Aeronautics and Astronautics Department,
Stanford University,
Stanford, CA 94305
e-mail: chritensen@stanford.edu

Contributed by the Applied Mechanics Division of ASME for publication in the JOURNAL OF APPLIED MECHANICS. Manuscript received May 16, 2014; final manuscript received May 23, 2014; accepted manuscript posted May 29, 2014; published online June 5, 2014. Editor: Yonggang Huang.

J. Appl. Mech 81(8), 081001 (Jun 05, 2014) (7 pages) Paper No: JAM-14-1218; doi: 10.1115/1.4027753 History: Received May 16, 2014; Revised May 23, 2014; Accepted May 29, 2014

Failure mechanics is comprised of the failure theory for homogeneous and isotropic materials along with all of its implications and applications. The present failure theory is found to have an intimate connection with elasticity behavior even though plasticity may also transpire. This becomes apparent and useful when the classical theory of elasticity is renormalized to give a simpler and more transparent (but still exact) formalism. The connection or coordination between elasticity and failure then explicitly occurs through the use of the renormalized Poisson's ratio to characterize the ductility of failure. With this unification of failure theory and elasticity theory, failure mechanics can be extended to explain other anomalous aspects of mechanical behavior and prepare it for applications.

Copyright © 2014 by ASME
Topics: Elasticity , Failure
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Christensen, R. M., 2013, The Theory of Materials Failure, Oxford University Press, Oxford, UK.
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