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.
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August 2014
Research-Article
Failure Mechanics—Part I: The Coordination Between Elasticity Theory and Failure Theory for all Isotropic Materials
Richard M. Christensen
Richard M. Christensen
Professor Research Emeritus
Aeronautics and Astronautics Department,
e-mail: chritensen@stanford.edu
Aeronautics and Astronautics Department,
Stanford University
,Stanford, CA 94305
e-mail: chritensen@stanford.edu
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Richard M. Christensen
Professor Research Emeritus
Aeronautics and Astronautics Department,
e-mail: chritensen@stanford.edu
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. Aug 2014, 81(8): 081001 (7 pages)
Published Online: June 5, 2014
Article history
Received:
May 16, 2014
Revision Received:
May 23, 2014
Accepted:
May 29, 2014
Citation
Christensen, R. M. (June 5, 2014). "Failure Mechanics—Part I: The Coordination Between Elasticity Theory and Failure Theory for all Isotropic Materials." ASME. J. Appl. Mech. August 2014; 81(8): 081001. https://doi.org/10.1115/1.4027753
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