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On numerical solving a rigid inclusions problem in 2D elasticity. / Rudoy, Evgeny.

In: Zeitschrift fur Angewandte Mathematik und Physik, Vol. 68, No. 1, 19, 01.02.2017.

Research output: Contribution to journal › Article › peer-review

Harvard

Rudoy, E 2017, 'On numerical solving a rigid inclusions problem in 2D elasticity', Zeitschrift fur Angewandte Mathematik und Physik, vol. 68, no. 1, 19. https://doi.org/10.1007/s00033-016-0764-6

APA

Rudoy, E. (2017). On numerical solving a rigid inclusions problem in 2D elasticity. Zeitschrift fur Angewandte Mathematik und Physik, 68(1), [19]. https://doi.org/10.1007/s00033-016-0764-6

Vancouver

Rudoy E. On numerical solving a rigid inclusions problem in 2D elasticity. Zeitschrift fur Angewandte Mathematik und Physik. 2017 Feb 1;68(1):19. doi: 10.1007/s00033-016-0764-6

Author

Rudoy, Evgeny. / On numerical solving a rigid inclusions problem in 2D elasticity. In: Zeitschrift fur Angewandte Mathematik und Physik. 2017 ; Vol. 68, No. 1.

BibTeX

@article{23aeaa9a57b14a40bf0a2755c94268f0,
title = "On numerical solving a rigid inclusions problem in 2D elasticity",
abstract = "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.",
keywords = "Bulk rigid inclusion, FEM, Numerical algorithm, Thin rigid inclusion, Variational approach, STRESS-CONCENTRATION, CAVITIES, FIELD, CRACK, LINE INCLUSION",
author = "Evgeny Rudoy",
year = "2017",
month = feb,
day = "1",
doi = "10.1007/s00033-016-0764-6",
language = "English",
volume = "68",
journal = "Zeitschrift fur Angewandte Mathematik und Physik",
issn = "0044-2275",
publisher = "Birkhauser Verlag Basel",
number = "1",

}

RIS

TY - JOUR

T1 - On numerical solving a rigid inclusions problem in 2D elasticity

AU - Rudoy, Evgeny

PY - 2017/2/1

Y1 - 2017/2/1

N2 - 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.

AB - 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.

KW - Bulk rigid inclusion

KW - FEM

KW - Numerical algorithm

KW - Thin rigid inclusion

KW - Variational approach

KW - STRESS-CONCENTRATION

KW - CAVITIES

KW - FIELD

KW - CRACK

KW - LINE INCLUSION

UR - http://www.scopus.com/inward/record.url?scp=85008616084&partnerID=8YFLogxK

U2 - 10.1007/s00033-016-0764-6

DO - 10.1007/s00033-016-0764-6

M3 - Article

AN - SCOPUS:85008616084

VL - 68

JO - Zeitschrift fur Angewandte Mathematik und Physik

JF - Zeitschrift fur Angewandte Mathematik und Physik

SN - 0044-2275

IS - 1

M1 - 19

ER -

ID: 10316377