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Diffusion potential and well-posedness in non-associative plasticity

✍ Scribed by K.C. Valanis

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
804 KB
Volume
35
Category
Article
ISSN
0020-7683

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✦ Synopsis

The problem of ill-posedness of the boundary value problem in non-associative plasticity is addressed. Well-posedness is achieved through the introduction of a potential q) that plays the dual role of a hardening function and a diffusion potential. Simultaneous constitutive equations in the form of partial differential equations for the velocity field ai and ~ are established. The problem of simple shearing is solved as an example and patterned deformation is shown to occur in the presence of softening. The work is confined to small deformation.

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In this paper we prove that, in a general geometric situation, the Coulomb gauged vector potential formulation of the eddy-current problem for the time-harmonic Maxwell equations is well-posed, i.e., its solution exists and is unique. Moreover, a quasi-optimal error estimate for its finite element a