Generalization of \(T\) and \(A\) integrals to time-dependent materials: analytical formulations

DOI10.1007/S10704-010-9453-1zbMath1273.74517OpenAlexW2060843650MaRDI QIDQ373270

Rostand Moutou Pitti, Christophe Petit, Frédéric Dubois

Publication date: 22 October 2013

Published in: International Journal of Fracture (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10704-010-9453-1

zbMATH Keywords

finite elementviscoelastic materialmixed-mode fractureconservatives lawpath independent integralsthermal fields

Mathematics Subject Classification ID

Anelastic fracture and damage (74R20) Finite element methods applied to problems in solid mechanics (74S05) Thermal effects in solid mechanics (74F05) Linear constitutive equations for materials with memory (74D05)

Related Items (1)

A generalization of \(Mv\) integral to axisymmetric problems for viscoelastic materials

Cites Work

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• Mixed mode fracture separation in viscoelastic orthotropic media: numerical and analytical approach by the \(M\theta v\)-integral
• Conservation laws, duality and symmetry loss in solid mechanics
• On a specimen providing stable mixed mode crack growth in wooden material
• Conservation laws in elasticity of the J-integral type
• An arbitrary Lagrangian-Eulerian finite element method for transient dynamic fluid-structure interactions
• \(Mv\)-integral for the crack growth in a viscoelastic media
• Milestones in mathematical physics Noether's theorem

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