An explicit example of one-dimensional shearing is used to illustrate the necessity of extra boundary conditions for a class of incremental theories of plasticity regarded as otherwise conventional apart from a dependence of the tangential moduli on gradients of plastic strain.
Are Lower-Order Gradient Theories of Plasticity Really Lower Order?
Contributed by the Applied Mechanics Division of THE AMERICAN SOCIETY OF MECHANICAL ENGINEERS for publication in the JOURNAL OF APPLIED MECHANICS. Manuscript received by the ASME Applied Mechanics Division, June 21, 2001; final revision, June 8, 2002. Associate Editor: A. Needleman.
Volokh , K. Y., and Hutchinson, J. W. (October 31, 2002). "Are Lower-Order Gradient Theories of Plasticity Really Lower Order? ." ASME. J. Appl. Mech. November 2002; 69(6): 862–864. https://doi.org/10.1115/1.1504096
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