Properties of the Eshelby tensor and existence of the equivalent ellipsoidal inclusion solution

Barnett, D. M.; Cai, Wei

doi:10.1016/j.jmps.2018.07.019

Title: Properties of the Eshelby tensor and existence of the equivalent ellipsoidal inclusion solution

Journal Article · 30 November 2018 · Journal of the Mechanics and Physics of Solids

DOI: https://doi.org/10.1016/j.jmps.2018.07.019 · OSTI ID:1682386

Barnett, D. M.;

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Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: SC0010412

OSTI ID:: 1682386

Journal Information:: Journal of the Mechanics and Physics of Solids, Journal Name: Journal of the Mechanics and Physics of Solids Journal Issue: C Vol. 121; ISSN 0022-5096

Publisher:: ElsevierCopyright Statement

Country of Publication:: United Kingdom

Language:: English

References (9)

Continuum micro-mechanics of elastoplastic polycrystals Hill, R. Journal of the Mechanics and Physics of Solids, Vol. 13, Issue 2 https://doi.org/10.1016/0022-5096(65)90023-2	journal	April 1965
The non-uniform transformation strain problem for an anisotropic ellipsoidal inclusion Asaro, R. J.; Barnett, D. M. Journal of the Mechanics and Physics of Solids, Vol. 23, Issue 1 https://doi.org/10.1016/0022-5096(75)90012-5	journal	February 1975
The energy of inclusions in linear media exact shape-independent relations Milgrom, Mordehai; Shtrikman, S. Journal of the Mechanics and Physics of Solids, Vol. 40, Issue 5 https://doi.org/10.1016/0022-5096(92)90056-8	journal	July 1992
Anisotropic continuum theory of lattice defects Bacon, D. J.; Barnett, D. M.; Scattergood, R. O. Progress in Materials Science, Vol. 23 https://doi.org/10.1016/0079-6425(80)90007-9	journal	January 1980
Anisotropic coupled-field inclusion and inhomogeneity problems Li, Jiang Yu; Dunn, Martin L. Philosophical Magazine A, Vol. 77, Issue 5 https://doi.org/10.1080/01418619808214256	journal	May 1998
Anisotropic Elastic Inclusion Problems Willis, J. R. The Quarterly Journal of Mechanics and Applied Mathematics, Vol. 17, Issue 2 https://doi.org/10.1093/qjmam/17.2.157	journal	January 1964
On the existence of Eshelby’s equivalent ellipsoidal inclusion solution Kuykendall, William P.; Cash, William D.; Barnett, David M. Mathematics and Mechanics of Solids, Vol. 17, Issue 8 https://doi.org/10.1177/1081286511433082	journal	January 2012
Solvability of the equivalent inclusion problem for an ellipsoidal inhomogeneity Freidin, Alexander B.; Kucher, Vladislav A. Mathematics and Mechanics of Solids, Vol. 21, Issue 2 https://doi.org/10.1177/1081286515588636	journal	March 2015
On Weakly Positive Matrices Wigner, Eugene P. Canadian Journal of Mathematics, Vol. 15 https://doi.org/10.4153/CJM-1963-036-4	journal	January 1963

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