Elasticity with arbitrarily shaped inhomogeneity

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Standard

Elasticity with arbitrarily shaped inhomogeneity. / Mathiesen, Joachim; Procaccia, Itamar; Regev, Ido.

I: Physical Review E, Bind 77, Nr. 2, 026606, 26.02.2008.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Mathiesen, J, Procaccia, I & Regev, I 2008, 'Elasticity with arbitrarily shaped inhomogeneity', Physical Review E, bind 77, nr. 2, 026606. https://doi.org/10.1103/PhysRevE.77.026606

APA

Mathiesen, J., Procaccia, I., & Regev, I. (2008). Elasticity with arbitrarily shaped inhomogeneity. Physical Review E, 77(2), [026606]. https://doi.org/10.1103/PhysRevE.77.026606

Vancouver

Mathiesen J, Procaccia I, Regev I. Elasticity with arbitrarily shaped inhomogeneity. Physical Review E. 2008 feb. 26;77(2). 026606. https://doi.org/10.1103/PhysRevE.77.026606

Author

Mathiesen, Joachim ; Procaccia, Itamar ; Regev, Ido. / Elasticity with arbitrarily shaped inhomogeneity. I: Physical Review E. 2008 ; Bind 77, Nr. 2.

Bibtex

@article{4bc8891a00d548a892f5f882f80d7360,
title = "Elasticity with arbitrarily shaped inhomogeneity",
abstract = "A classical problem in elasticity theory involves an inhomogeneity embedded in a material of given stress and shear moduli. The inhomogeneity is a region of arbitrary shape whose stress and shear moduli differ from those of the surrounding medium. In this paper we present a semianalytic method for finding the stress tensor for an infinite plate with such an inhomogeneity. The solution involves two conformal maps, one from the inside and the second from the outside of the unit circle to the inside, and respectively outside, of the inhomogeneity. The method provides a solution by matching the conformal maps on the boundary between the inhomogeneity and the surrounding material. This matching converges well only for relatively mild distortions of the unit circle due to reasons which will be discussed in the article. We provide a comparison of the present result to known previous results.",
author = "Joachim Mathiesen and Itamar Procaccia and Ido Regev",
year = "2008",
month = feb,
day = "26",
doi = "10.1103/PhysRevE.77.026606",
language = "English",
volume = "77",
journal = "Physical Review E",
issn = "2470-0045",
publisher = "American Physical Society",
number = "2",

}

RIS

TY - JOUR

T1 - Elasticity with arbitrarily shaped inhomogeneity

AU - Mathiesen, Joachim

AU - Procaccia, Itamar

AU - Regev, Ido

PY - 2008/2/26

Y1 - 2008/2/26

N2 - A classical problem in elasticity theory involves an inhomogeneity embedded in a material of given stress and shear moduli. The inhomogeneity is a region of arbitrary shape whose stress and shear moduli differ from those of the surrounding medium. In this paper we present a semianalytic method for finding the stress tensor for an infinite plate with such an inhomogeneity. The solution involves two conformal maps, one from the inside and the second from the outside of the unit circle to the inside, and respectively outside, of the inhomogeneity. The method provides a solution by matching the conformal maps on the boundary between the inhomogeneity and the surrounding material. This matching converges well only for relatively mild distortions of the unit circle due to reasons which will be discussed in the article. We provide a comparison of the present result to known previous results.

AB - A classical problem in elasticity theory involves an inhomogeneity embedded in a material of given stress and shear moduli. The inhomogeneity is a region of arbitrary shape whose stress and shear moduli differ from those of the surrounding medium. In this paper we present a semianalytic method for finding the stress tensor for an infinite plate with such an inhomogeneity. The solution involves two conformal maps, one from the inside and the second from the outside of the unit circle to the inside, and respectively outside, of the inhomogeneity. The method provides a solution by matching the conformal maps on the boundary between the inhomogeneity and the surrounding material. This matching converges well only for relatively mild distortions of the unit circle due to reasons which will be discussed in the article. We provide a comparison of the present result to known previous results.

UR - http://www.scopus.com/inward/record.url?scp=40549134519&partnerID=8YFLogxK

U2 - 10.1103/PhysRevE.77.026606

DO - 10.1103/PhysRevE.77.026606

M3 - Journal article

AN - SCOPUS:40549134519

VL - 77

JO - Physical Review E

JF - Physical Review E

SN - 2470-0045

IS - 2

M1 - 026606

ER -

ID: 203585814