Finite strain analysis of crack tip fields in incompressible hyperelastic solids loaded in plane stress

DOI10.1016/J.JMPS.2010.12.005zbMath1270.74180OpenAlexW2093937615WikidataQ58745137 ScholiaQ58745137MaRDI QIDQ361352

Venkat R. Krishnan, Rong Long, Chung-Yuen Hui

Publication date: 29 August 2013

Published in: Journal of the Mechanics and Physics of Solids (Search for Journal in Brave)

Full work available at URL: http://www.sciencedirect.com/science/article/pii/S0022509610002450

zbMATH Keywords

finite strainfracture mechanicsplane stressasymptotic analysiscrack tip fields

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Brittle fracture (74R10) Stress concentrations, singularities in solid mechanics (74G70)

Related Items (7)

Anti-plane crack solutions in higher-order elasticity ⋮ Stress singularity of a notch in a higher-order elastic solid under anti-plane deformation ⋮ An asymptotic finite plane deformation analysis of the elastostatic fields at a crack tip in the framework of hyperelastic, isotropic, and nearly incompressible neo-Hookean materials under mode-i loading ⋮ The elastostatic plane strain mode I crack tip stress and displacement fields in a generalized linear neo-Hookean elastomer ⋮ Crack buckling in soft gels under compression ⋮ Finite strain fracture analysis using the extended finite element method with new set of enrichment functions ⋮ Effects of multiple families of nonlinear fibers on finite deformation near a crack tip in a neo-Hookean sheet

Cites Work

• A three-dimensional constitutive model for the large stretch behavior of rubber elastic materials
• Large deformations near a tip of an interface-crack between two Neo- Hookean sheets
• An asymptotic analysis of finite deformations near the tip of an interface-crack
• The \(1/r\) singularity in weakly nonlinear fracture mechanics
• The equilibrium field near the tip of a crack for finite plane strain of incompressible elastic materials
• Thin hyperelastic sheets of compressible material: Field equations, Airy stress function and an application in fracture mechanics
• Finite strains at the tip of a crack in a sheet of hyperelastic material. I: Homogeneous case. II: Special bimaterial cases. III: General bimaterial case
• Finite-deformation analysis of the elastostatic field near the tip of a crack: Reconsideration and higher-order results
• Large plane deformations of thin elastic sheets of neo-Hookean material
• The Near-Tip Fields of Fast Cracks

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