Eshelby's problem of a spherical inclusion eccentrically embedded in a finite spherical body

DOI10.1098/RSPA.2016.0808zbMath1404.74045OpenAlexW2588740445WikidataQ54253561 ScholiaQ54253561MaRDI QIDQ4647135

Wennan Zou, Qi-Chang He

Publication date: 4 January 2019

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.2016.0808

zbMATH Keywords

superposition principleEshelby's probleminclusionfinite bodysectional and harmonic deviator

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10)

Related Items (1)

Modified Eshelby tensor for an anisotropic matrix with interfacial damage

Cites Work

• Eshebly tensors for a finite spherical domain with an axisymmetric inclusion
• Solution of Eshelby's inclusion problem with a bounded domain and Eshelby's tensor for a spherical inclusion in a finite spherical matrix based on a simplified strain gradient elasticity theory
• Strain gradient solution for a finite-domain Eshelby-type plane strain inclusion problem and Eshelby's tensor for a cylindrical inclusion in a finite elastic matrix
• The composite Eshelby tensors and their applications to homogenization
• A circular inclusion in a finite domain. I: The Dirichlet-Eshelby problem
• Eigenstrain Problems in a Finite Elastic Body
• Thermal inclusions inside a bounded medium

This page was built for publication: Eshelby's problem of a spherical inclusion eccentrically embedded in a finite spherical body