Аннотация
A 2D elastic problem for a body containing a set of bulk and thin rigid inclusions of arbitrary shapes is considered. It is assumed that rigid inclusions are bonded into elastic matrix. To state the equilibrium problem, a variational approach is used. The problem is formulated as a problem of minimization of the energy functional over the set of admissible displacements. Moreover, it is equivalent to a variational equality which holds for test functions belonging to the subspace of functions with the prescribed rigid displacement structure on the inclusions. We propose a novel algorithm of solving the equilibrium problem. The algorithm is based on reducing the original problem to a system of the Dirichlet and Neumann problems. A numerical examination is carried out to demonstrate the efficiency of the proposed technique.
Язык оригинала | английский |
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Номер статьи | 19 |
Число страниц | 18 |
Журнал | Zeitschrift fur Angewandte Mathematik und Physik |
Том | 68 |
Номер выпуска | 1 |
DOI | |
Состояние | Опубликовано - 1 фев 2017 |