Finite plane and anti-plane elastostatic fields with discontinuous deformation gradients near the tip of a crack

DOI10.1007/BF00041140zbMath0541.73119MaRDI QIDQ794821

Graeme Francis Fowler

Publication date: 1984

Published in: Journal of Elasticity (Search for Journal in Brave)

zbMATH Keywords

plane straindifferential equationselastostatic shocksBlatz-Ko elastic potentialcracked incompressible soliddirect asymptotic methodelastostatic fieldequilibrium fieldsfinite anti-plane shearlose ellipticityMode IIIsufficiently severe strainstensile (Mode I) loading conditionstip of a crack

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Brittle damage (74R05)

Related Items

Localized shear discontinuities near the tip of a mode I crack, Two general integrals of singular crack tip deformation fields, Initiation of localized plane deformations at a circular cavity in an infinite compressible nonlinearly elastic medium

Cites Work

• Unnamed Item
• On the failure of ellipticity and the emergence of discontinuous deformation gradients in plane finite elastostatics
• Discontinuous deformation gradients near the tip of a crack in finite anti-plane shear: An example
• Discontinuous deformation gradients away from the tip of a crack in anti- plane shear
• Discontinuous deformation gradients in plane finite elastostatics of incompressible materials
• Anti-plane shear fields with discontinuous deformation gradients near the tip of a crack in finite elastostatics
• On the ellipticity of the equations of nonlinear elastostatics for a special material
• Finite-deformation analysis of the elastostatic field near the tip of a crack: Reconsideration and higher-order results
• On finite anti-plane shear for imcompressible elastic materials