Research Papers

Evaluation of Ductile/Brittle Failure Theory and Derivation of the Ductile/Brittle Transition Temperature

[+] Author and Article Information
Richard M. Christensen

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

Manuscript received November 4, 2015; final manuscript received November 9, 2015; published online December 8, 2015. Editor: Yonggang Huang.

J. Appl. Mech 83(2), 021001 (Dec 08, 2015) (10 pages) Paper No: JAM-15-1595; doi: 10.1115/1.4032014 History: Received November 04, 2015; Revised November 09, 2015

A recently developed ductile/brittle theory of materials failure is evaluated. The failure theory applies to all homogeneous and isotropic materials. The determination of the ductile/brittle transition is an integral and essential part of the failure theory. The evaluation process emphasizes and examines all aspects of the ductile versus the brittle nature of failure, including the ductile limit and the brittle limit of materials' types. The failure theory is proved to be extraordinarily versatile and comprehensive. It even allows derivation of the associated ductile/brittle transition temperature. This too applies to all homogeneous and isotropic materials and not just some subclass of materials' types. This evaluation program completes the development of the failure theory.

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Grahic Jump Location
Fig. 1

Shear stress failure form

Grahic Jump Location
Fig. 3

Two-dimensional failure envelopes and the D/B transitions: (a) T/C = 0, (b) T/C = 1/3, (c) T/C = 1/2 (d) T/C = 2/3, and (e) T/C = 1

Grahic Jump Location
Fig. 4

The ductile limit at T/C = 1 with the D/B transition



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