Research Papers

Perspective on Materials Failure Theory and Applications

[+] 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 June 29, 2016; final manuscript received July 5, 2016; published online August 10, 2016. Editor: Yonggang Huang.

J. Appl. Mech 83(11), 111001 (Aug 10, 2016) (6 pages) Paper No: JAM-16-1334; doi: 10.1115/1.4034122 History: Received June 29, 2016; Revised July 05, 2016

The history of developing failure criteria is briefly examined. The cumulative result is found to be completely unsatisfactory and extremely misleading, to the point of crisis. The long time blockage of the materials failure field has had serious and retarding effects on all related technical areas that are dependent on reliable failure projections. A new and rationally different approach to failure theory formulation is outlined and fully documented. After summarizing recent research progress, a program for the recovery and revitalization of the field is given.

Copyright © 2016 by ASME
Topics: Failure , Stress
Your Session has timed out. Please sign back in to continue.


McCullough, D. , 2015, The Wright Brothers, Simon and Schuster, New York, NY.
Coulomb, C. A. , 1773, “ In Memories de Mathematique et de Physique,” Acad. R. Sci. Divers Sans, 7, pp. 343–382.
Timoshenko, S. P. , 1953, History of Strength of Materials, McGraw-Hill, New York, NY.
Huber, M. T. , 1904, “ Przyczynek do Podstaw Wytorymabsci,” Czas. Tech., 15, p. 81.
von Mises, R. , 1913, “ Mechanik des festen Korper im Plastisch-Deformablen Zustand,” Nachr. Kgl. Ges. Wiss. Gotingen Math.-Physik Klasse, 4, pp. 582–592.
Beltrami, E. , 1889, “ Considerazione Idrodinamiche,” Rend. 1 Lomb. Sci. Lett., 22, pp. 121–130.
Mohr, O. , 1900, “ Welche Umstande Bedingen die Elastizitatsgrenze und den Bruch eins Materials,” Z. Ver. Dtsch. Ing., 44, pp. 1524–1530.
von Karman, T. V. , 1912, “ Festigkeitversuche unter allseitigem Druck,” Mitt. Forschungsarb. Geb. Ingenieures, 118, pp. 27–68.
Böker, R. , 1915, “ Die Mechanik der Bleibenden Formanderung in Kristallinish Aufgebauten Korpern,” Mitt. Forschungsarbeit Gebeite Ingenieurwes., 24, pp. 1–51.
Drucker, D. C. , and Prager, W. , 1952, “ Soil Mechanics and Plastic Analysis or Limit Design,” Q. Appl. Math., 10(2), pp. 157–165.
Paul, B. , 1968, “ Macroscopic Criteria for Plastic Flow and Brittle Fracture,” Fracture, Vol. 2, H. Liebowitz , ed., Academic Press, New York, pp. 313–496.
Isaacson, W. , 2003, Benjamin Franklin, Simon and Schuster, New York.


Grahic Jump Location
Fig. 1

Coulomb–Mohr failure criterion



Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In