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Zbl 0906.73028
Babuška, I.; Shi, P.
Regularity of solutions to a one-dimensional plasticity model. (English)
[J] RAIRO, Modélisation Math. Anal. Numér. 32, No.5, 521-537 (1998). ISSN 0764-583X

Summary: A quasi-static one-dimensional plasticity model subject to multilinear kinematic law is formulated as a system of variational inequalities. $H^2$ regularity in the space variable is proved for the displacement and $H^1$ regularity is proved for the stress.

MSC 2000:: *74C99 Plastic materials, etc.
35Q72 Other PDE from mechanics
35B65 Smoothness of solutions of PDE

Keywords: H(2)-regularity; H(1)-regularity; quasi-static model; multilinear kinematic law; system of variational inequalities

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