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Regularity of solutions to a one-dimensional plasticity model. (English) Zbl 0906.73028
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:
 74C99 Plastic materials, etc. 35Q72 Other PDE from mechanics (MSC2000) 35B65 Smoothness and regularity of solutions of PDE
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##### References:
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