Dislocations and inclusions in prestressed metals

DOI10.1098/RSPA.2012.0752zbMath1348.74044OpenAlexW2010639591MaRDI QIDQ2831288

Luca Argani, Davide Bigoni, Gennady S. Mishuris

Publication date: 2 November 2016

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.2012.0752

zbMATH Keywords

Green's functionsinclusionsnonlinear elasticitysingular solutionsprestress

Mathematics Subject Classification ID

Nonlinear elasticity (74B20)

Related Items (2)

The dynamics of a shear band ⋮ Cones of localized shear strain in incompressible elasticity with prestress: Green's function and integral representations

Cites Work

• A novel boundary element approach to time-harmonic dynamics of incremental nonlinear elasticity: the role of pre-stress on structural vibrations and dynamic shear banding
• Shear band formation in plane strain
• Symmetrical representation of stresses in the Stroh formalism and its application to a dislocation and a dislocation dipole in an anisotropic elastic medium
• Green's function for incremental nonlinear elasticity: shear bands and boundary integral formulation
• The determination of the elastic field of an ellipsoidal inclusion, and related problems
• The unrestrainable growth of a shear band in a prestressed material
• Green's Functions for a Bimaterial Consisting of Two Orthotropic Quarter Planes Subjected to an Antiplane Force and a Secrew Dislocation

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