Compliance and Hill polarization tensor of a crack in an anisotropic matrix

DOI10.1016/j.ijsolstr.2009.08.003zbMath1183.74232OpenAlexW1978360799MaRDI QIDQ2381066

Jean-François Barthélémy

Publication date: 29 March 2010

Published in: International Journal of Solids and Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijsolstr.2009.08.003

zbMATH Keywords

anisotropyaspect ratioHill polarization tensorEshelby problemflat ellipsoidal inclusion

Mathematics Subject Classification ID

Anisotropy in solid mechanics (74E10) Brittle fracture (74R10)

Related Items (4)

Inverse homogenization problem: evaluation of elastic and electrical (thermal) properties of composite constituents ⋮ The Eshelby, Hill, moment and concentration tensors for ellipsoidal inhomogeneities in the Newtonian potential problem and linear elastostatics ⋮ Micromechanical modeling of a cracked elliptically orthotropic medium ⋮ Simplified approach to the derivation of the relationship between Hill polarization tensors of transformed problems and applications

Uses Software

• DECUHR

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• New explicit expressions of the Hill polarization tensor for general anisotropic elastic solids
• Micromechanical analysis of coupling between anisotropic damage and friction in quasi brittle materials: role of the homogenization scheme
• Poroelasticity of a mesocracked media: a micromechanical approach
• Porous polycrystals built up by uniformly and axisymmetrically oriented needles: homogenization of elastic properties
• Eshelby tensor for a crack in an orthotropic elastic medium
• A microcrack damage model for brittle materials
• Elastic moduli of a cracked solid
• Numerical evaluation of derivatives of the anisotropic piezoelectric Green's functions
• DECUHR: An algorithm for automatic integration of singular functions over a hyperrectangular region
• Basic results for elastic fracture mechanics with frictionless contact between the crack lips
• Rate form of the Eshelby and Hill tensors.
• Green's functions and the non-uniform transformation problem in a piezoelectric medium
• Continuum micro-mechanics of elastoplastic polycrystals
• A transformation of elastic boundary value problems with application to anisotropic behavior
• Determination of the macroscopic behavior of a medium with frictional cracks
• The determination of the elastic field of an ellipsoidal inclusion, and related problems
• Une transformation du problème d'élasticité linéaire en vue d'application au problème de l'inclusion et aux fonctions de Green
• Homogenized constitutive laws for rocks with elastoplastic fractures
• Microporomechanics

This page was built for publication: Compliance and Hill polarization tensor of a crack in an anisotropic matrix