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Proceedings Paper

Method of approximation of the weak solution of elasticity problems
Author(s): Igor E. Anoufriev; Leonid V. Petukhov
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Paper Abstract

Let tT be a bounded 3D domain with Lipschitz boundary (Gamma) , (sigma) equals (pi) R 2 is a prescribed displacement on (Gamma) (volume forces are absent). We denote by A(u,v) equals integral(Omega ) L(epsilon) (u) (DOT) (epsilon) (v) dx bilinear form corresponding to the first elasticity problem where L is a tensor of Hooke's law written in the tensor form (sigma) equals L(epsilon) (isotropic case will be the subject of consideration) and by V a subspace of Sobolev space W21((Omega) ,R3) that is V equals {v equalsV W21((Omega) ,R3) v equals 0 on (Gamma) }. We assume that gi equalsV W21/2((Gamma) ) and A(u,v) is V-elliptic bilinear form. A weak solution of the first elasticity problem is a vector- valued function.

Paper Details

Date Published: 5 May 1999
PDF: 4 pages
Proc. SPIE 3687, International Workshop on Nondestructive Testing and Computer Simulations in Science and Engineering, (5 May 1999); doi: 10.1117/12.347463
Show Author Affiliations
Igor E. Anoufriev, St. Petersburg State Technical Univ. (Russia)
Leonid V. Petukhov, St. Petersburg State Technical Univ. (Russia)


Published in SPIE Proceedings Vol. 3687:
International Workshop on Nondestructive Testing and Computer Simulations in Science and Engineering
Alexander I. Melker, Editor(s)

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