Vol. 4, No. 9, 2009

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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

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.

plane stress, mode I crack, perfectly plastic, yield condition, second and third invariants of deviatoric stress tensor, differential algebraic equation, DAE
Received: 25 May 2009
Accepted: 13 June 2009
Published: 17 January 2010
David J. Unger
Department of Mechanical and Civil Engineering
University of Evansville
1800 Lincoln Avenue
Evansville, IN 47722
United States