Dynamic cohesive fracture: Models and analysis

DOI10.1142/S0218202514500092zbMath1291.74169MaRDI QIDQ5166405

Christopher J. Larsen, Valeriy V. Slastikov

Publication date: 26 June 2014

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

zbMATH Keywords

fracturedynamicsstationary actionmaximal dissipation

Mathematics Subject Classification ID

Fracture and damage (74R99) Existence of solutions of dynamical problems in solid mechanics (74H20) Variational principles of physics (49S05) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (4)

Phase-field approximation of a vectorial, geometrically nonlinear cohesive fracture energy ⋮ Existence, Energy Identity, and Higher Time Regularity of Solutions to a Dynamic Viscoelastic Cohesive Interface Model ⋮ Existence and uniqueness of dynamic evolutions for a one-dimensional debonding model with damping ⋮ Shape derivatives of energy and regularity of minimizers for shallow elastic shells with cohesive cracks

Cites Work

• A cohesive approach to thin-shell fracture and fragmentation
• Quasistatic crack growth in finite elasticity with non-interpenetration
• A model for the quasi-static growth of brittle fractures: Existence and approximation results
• Quasistatic crack growth in nonlinear elasticity
• Revisiting brittle fracture as an energy minimization problem
• A time-discrete model for dynamic fracture based on crack regularization
• EXISTENCE OF SOLUTIONS TO A REGULARIZED MODEL OF DYNAMIC FRACTURE
• Existence and convergence for quasi-static evolution in brittle fracture
• A MODEL FOR THE QUASI-STATIC GROWTH OF BRITTLE FRACTURES BASED ON LOCAL MINIMIZATION
• Quasi-static crack growth for a cohesive zone model with prescribed crack path
• QUASI-STATIC CRACK PROPAGATION BY GRIFFITH'S CRITERION

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