✦ LIBER ✦

Regularization and existence of solutions of three-dimensional elastoplastic problems

✍ Scribed by Martin Brokate; Alexander M. Khludnev

Publisher: John Wiley and Sons
Year: 1998
Tongue: English
Weight: 242 KB
Volume: 21
Category: Article
ISSN: 0170-4214
DOI: 10.1002/(sici)1099-1476(199804)21:6<551::aid-mma963>3.0.co;2-7

No coin nor oath required. For personal study only.

✦ Synopsis

Communicated by W. Wendland

We prove the existence of solutions to the three-dimensional elastoplastic problem with Hencky's law and Neumann boundary conditions by elliptic regularization and the penalty method, both for the case of a smooth boundary and of an interior two dimensional crack. It is shown, in particular, that the variational solution satisfies all boundary conditions.

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