Regularity of stresses in Prandtl-Reuss perfect plasticity

被引：22
|
作者：
Demyanov, A. [1 ]
机构：
[1] SISSA, I-34014 Trieste, Italy
来源：
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2009年 / 34卷 / 01期
关键词：
quasistatic evolution; rate independent processes; Prandtl-Reuss plasticity; regularity of solutions; VARIATIONAL-PROBLEMS; EXISTENCE;
D O I：
10.1007/s00526-008-0174-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the differential properties of solutions of the Prandtl-Reuss model. We prove that in dimensions n = 2, 3 the stress tensor has locally square-integrable first derivatives: sigma is an element of L-infinity([0,T]; W-Ioc(1,2)(Omega; M-sym(nxn))). The result is based on discretization of time and uniform estimates of solutions of the incremental problems, which generalize the estimates in the case of Hencky perfect plasticity. Counterexamples to the regularity of displacements and plastic strains in the quasistatic case are presented.
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页码：23 / 72
页数：50
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