GRIFFITH-FORMULA AND J-INTEGRAL FOR A CRACK IN A POWER-LAW HARDENING MATERIAL

DOI10.1142/S0218202506001698zbMath1121.74053MaRDI QIDQ3422232

Dorothee Knees

Publication date: 9 February 2007

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

fracture mechanics\(J\)-integralpower-law modelderivative of the energy functionalEshelby-Cherepanov-Rice integralGriffith's formula

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Nonlinear elasticity (74B20) Brittle fracture (74R10) Energy minimization in equilibrium problems in solid mechanics (74G65) Nonlinear elliptic equations (35J60)

Related Items

Energy release rates for interfacial cracks in elastic bodies with thin semirigid inclusions ⋮ The Griffith formula and J‐integral for elastic bodies with Timoshenko inclusions ⋮ Singular path-independent energy integrals for elastic bodies with Euler–Bernoulli inclusions ⋮ Crack problem within the context of implicitly constituted quasi-linear viscoelasticity ⋮ ON THE INVISCID LIMIT OF A MODEL FOR CRACK PROPAGATION ⋮ Shape derivative of the energy functional in a problem for a thin rigid inclusion in an elastic body ⋮ Crack growth in polyconvex materials ⋮ Shape derivatives of energy and regularity of minimizers for shallow elastic shells with cohesive cracks

Cites Work

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• Regularity for minimizers of non-quadratic functionals: The case \(1<p<2\)
• Griffith formulae for elasticity systems with unilateral conditions in domains with cracks
• Applied functional analysis. Main principles and their applications
• Sur une Interprétation Mathématique de l'Intégrale de Rice en Théorie de la Rupture Fragile
• The Griffith formula and the Rice–Cherepanov integral for crack problems with unilateral conditions in nonsmooth domains
• Functional spaces for norton‐hoff materials
• Crack propagation in continuous media
• Global regularity of the elastic fields of a power-law model on Lipschitz domains

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