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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2006, Volume 9, Number 4, Pages 335–344
(Mi sjvm125)
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This article is cited in 3 scientific papers (total in 3 papers)
Numerical investigation of a model problem for deforming an elastoplastic body with a crack under non-penetration condition
E. V. Vtorushin M. A. Lavrent'ev Institute of Hydrodynamics
Abstract:
The Lamé system is considered in a two-dimensional domain with a crack. The Dirichlet and the Neuman conditions are held on the exterior boundary, and non-penetration condition is assumed to be on a crack. The convolution product of the deviator of the stress tensor is restricted by a certain constant within the domain. Thus, we have a model problem for deforming an ideal elastoplastic body with a crack (the Henky model) subject to the Mises yield criterion. Simultaneously, the non-penetration condition is held on a crack. The problem is formulated as a variational one. We find a displacement vector as solution to minimization problem for the energy functional over a convex set. Discretization of the problem is provided by a finite element method. Examples of calculation are obtained using the Udzava algorithm.
Key words:
crack, non-penetration, ideal elastoplasticity (Henky model), variational inequalities, FEM, Udzava algorithm.
Received: 24.06.2005
Citation:
E. V. Vtorushin, “Numerical investigation of a model problem for deforming an elastoplastic body with a crack under non-penetration condition”, Sib. Zh. Vychisl. Mat., 9:4 (2006), 335–344
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https://www.mathnet.ru/eng/sjvm125 https://www.mathnet.ru/eng/sjvm/v9/i4/p335
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Abstract page: | 342 | Full-text PDF : | 159 | References: | 27 |
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