A plane stress perfectly plastic mode I crack problem for a yield criterion based on the second and third invariants of the deviatoric stress tensor, II

Unger, David

doi:10.2140/jomms.2009.4.1651

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A plane stress perfectly plastic mode I crack problem for a yield criterion based on the second and third invariants of the deviatoric stress tensor, II

David J. Unger

Vol. 4 (2009), No. 9, 1651–1656

DOI: 10.2140/jomms.2009.4.1651

Abstract

In the first paper with this title (J. Mech. Mater. Struct. 3:4 (2008), 795–807), the solution of a stress function of a mode I perfectly plastic crack problem was found analytically for two of the three sectors that comprise the solution of the problem for a yield condition based on the second and third invariants of the deviatoric stress tensor. Here an exact solution is derived for the remaining sector of this crack problem, which comprises the singular solution of the governing differential equation.

Keywords

plane stress, mode I crack, perfectly plastic, yield condition, second and third invariants of deviatoric stress tensor, differential algebraic equation, DAE

Milestones

Received: 25 May 2009

Accepted: 13 June 2009

Published: 17 January 2010

Authors

David J. Unger
Department of Mechanical and Civil Engineering University of Evansville 1800 Lincoln Avenue Evansville, IN 47722 United States
http://mece.evansville.edu/faculty/unger.asp

Vol. 4, No. 9, 2009

David J. Unger

Abstract

Keywords

Milestones

Authors