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

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

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.

Original language	English
Pages (from-to)	25-46
Number of pages	22
Journal	Journal of Elasticity
Volume	31
Issue number	1
DOIs	https://doi.org/10.1007/BF00041622
Publication status	Published - 1 Apr 1993

Keywords

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

Access to Document

10.1007/BF00041622

Cite this

@article{976074e25fba4a5789119f56d9f95955,

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",

month = apr,

day = "1",

doi = "10.1007/BF00041622",

language = "English",

volume = "31",

pages = "25--46",

journal = "Journal of Elasticity",

issn = "0374-3535",

number = "1",

}

TY - JOUR

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

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

Abstract

Keywords

Access to Document

Fingerprint

Cite this