Electronic Resource
Springer
Applied mathematics & optimization
21 (1990), S. 89-110
ISSN:
1432-0606
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract The obstacle problem for elastoplastic bodies is considered within the framework of general existence results for unilateral problems recently presented by Baiocchiet al. Two models of plasticity are considered: one is based on a displacement-plastic strain formulation and the second, a specialization of the first, is the standard Hencky model. Existence theorems are given for the Neumann problem for a body constrained to lie on or above the half-space {x∈ℝ3:x 3≤0}. For hardening materials the displacements are sought in the Sobolev spaceH 1(Ω, ℝ3) while for perfectly plastic materials they are sought in BD(Ω), the space of functions of bounded deformation. Conditions for the existence of solutions are given in terms of compatibility and safe load conditions on applied loads.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01445159
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