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Uniformity of stresses inside a hypotrochoidal inhomogeneity

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Publication:2132711
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DOI10.1007/S00707-022-03162-1zbMath1502.74022OpenAlexW4214555736MaRDI QIDQ2132711

Peter Schiavone, Xu Wang

Publication date: 28 April 2022

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00707-022-03162-1


zbMATH Keywords

Poisson ratioshear modulusEshelby inclusionanti-plane stateplane statevolumetric uniform eigenstrain


Mathematics Subject Classification ID

Classical linear elasticity (74B05) Inhomogeneity in solid mechanics (74E05)





Cites Work

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  • On the uniform stress state inside an inclusion of arbitrary shape in a three-phase composite
  • The determination of the elastic field of a polygonal star shaped inclusion
  • Three-phase elliptical inclusions with internal uniform hydrostatic stresses
  • Solutions to the Pólya-Szegö conjecture and the weak Eshelby conjecture
  • Elastic inclusion problems in plane elastostatics
  • Inclusion Pairs Satisfying Eshelby's Uniformity Property
  • On the uniformity of stresses inside an inhomogeneity of arbitrary shape
  • On the Elliptic Inclusion in Anti-Plane Shear
  • Uniform fields inside two non-elliptical inclusions
  • Solutions to the Eshelby conjectures




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