Numerical simulation of the equilibrium of an elastic two-layer structure with a crack
E.M. Rudoy, N.A. Kazarinov, V.Yu. Slesarenko
Lavrentyev Institute of Hydrodynamics of SB RAS, Lavrentyev str., 15, Novosibirsk, 630090, Russia
Keywords: двухслойная конструкция, трещина, условие непроникания, вариационное неравенство, метод декомпозиции области, алгоритм Удзавы, two-layer structure, crack, non-penetration condition, variational inequality, domain decomposition method, Uzawa algorithm
Abstract
The equilibrium problem for two elastic bodies pasted together along some curve is considered. There exists a crack on a part of the curve. Nonlinear boundary conditions providing a mutual non-penetration between crack faces are set. The main objective of the paper is to construct and to approve an algorithm for the numerical solution of the equilibrium problem. The algorithm is based on the two approaches: the domain decomposition method and the Uzawa method. The numerical experiment illustrates the efficiency of the algorithm.
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