Regularization in 3D for anisotropic elastodynamic crack and obstacle problems

Eliane Becache; Jean Claude Nedelec; Naoshi Nishimura

doi:10.1007/BF00041622

Regularization in 3D for anisotropic elastodynamic crack and obstacle problems

Eliane Becache
, Jean Claude Nedelec
, Naoshi Nishimura

Ecole polytechnique
Kyoto University

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

We propose, in this paper, a unified method of generating a regularized integral equation in the double layer potential approach for 3D anisotropic elastodynamics. Our regularization preserves the causality in the time-domain. The method is based on a special decomposition of the hypersingular kernel which appears in the integral representation of the stress tensor.

langue originale	Anglais
Pages (de - à)	25-46
Nombre de pages	22
journal	Journal of Elasticity
Volume	31
Numéro de publication	1
Les DOIs	https://doi.org/10.1007/BF00041622
état	Publié - 1 avr. 1993

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10.1007/BF00041622

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title = "Regularization in 3D for anisotropic elastodynamic crack and obstacle problems",

abstract = "We propose, in this paper, a unified method of generating a regularized integral equation in the double layer potential approach for 3D anisotropic elastodynamics. Our regularization preserves the causality in the time-domain. The method is based on a special decomposition of the hypersingular kernel which appears in the integral representation of the stress tensor.",

keywords = "AMS subject classification: 45F15, 73D25, 73C30",

author = "Eliane Becache and Nedelec, \{Jean Claude\} and Naoshi Nishimura",

year = "1993",

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T1 - Regularization in 3D for anisotropic elastodynamic crack and obstacle problems

AU - Becache, Eliane

AU - Nedelec, Jean Claude

AU - Nishimura, Naoshi

PY - 1993/4/1

Y1 - 1993/4/1

N2 - We propose, in this paper, a unified method of generating a regularized integral equation in the double layer potential approach for 3D anisotropic elastodynamics. Our regularization preserves the causality in the time-domain. The method is based on a special decomposition of the hypersingular kernel which appears in the integral representation of the stress tensor.

AB - We propose, in this paper, a unified method of generating a regularized integral equation in the double layer potential approach for 3D anisotropic elastodynamics. Our regularization preserves the causality in the time-domain. The method is based on a special decomposition of the hypersingular kernel which appears in the integral representation of the stress tensor.

KW - AMS subject classification: 45F15, 73D25, 73C30

UR - https://www.scopus.com/pages/publications/0027576111

U2 - 10.1007/BF00041622

DO - 10.1007/BF00041622

M3 - Article

AN - SCOPUS:0027576111

SN - 0374-3535

VL - 31

SP - 25

EP - 46

JO - Journal of Elasticity

JF - Journal of Elasticity

IS - 1

ER -

Regularization in 3D for anisotropic elastodynamic crack and obstacle problems

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