Quasistatic delamination models for Kirchhoff-Love plates

DOI10.1002/zamm.201000171zbMath1280.74032OpenAlexW2090598078MaRDI QIDQ3102698

Lorenzo Freddi, Roberto Paroni, Tomáš Roubíček, Chiara Zanini

Publication date: 6 December 2011

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/zamm.201000171

zbMATH Keywords

dimension reductionadhesive contact\(\Gamma \)-convergencerate-independent processesKirchhoff-Love platesBrittle delamination

Mathematics Subject Classification ID

Plates (74K20) Variational methods applied to PDEs (35A15) Methods involving semicontinuity and convergence; relaxation (49J45) Homogenization in equilibrium problems of solid mechanics (74Q05) Brittle damage (74R05) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (6)

Quasistatic delamination of sandwich-like Kirchhoff-Love plates ⋮ Dynamics of two linearly elastic bodies connected by a heavy thin soft viscoelastic layer ⋮ First-order shape derivative of the energy for elastic plates with rigid inclusions and interfacial cracks ⋮ Shape derivatives of energy and regularity of minimizers for shallow elastic shells with cohesive cracks ⋮ Quasistatic evolution of magnetoelastic plates via dimension reduction ⋮ Non-coercive problems for Kirchhoff-Love plates with thin rigid inclusion

Cites Work

• A variational definition of the strain energy for an elastic string
• Fracture paths from front kinetics: relaxation and rate independence
• Quasistatic delamination problem
• Quasistatic crack growth in finite elasticity with non-interpenetration
• Crack growth in polyconvex materials
• The postulate of realizability: Formulation and applications to the post-bifurcation behaviour and phase transitions in elastoplastic materials. I
• A variational formulation of rate-independent phase transformations using an extremum principle
• Existence results for energetic models for rate-independent systems
• Quasistatic crack growth in nonlinear elasticity
• On rate-independent hysteresis models
• Revisiting brittle fracture as an energy minimization problem
• \(\Gamma\)-limits and relaxations for rate-independent evolutionary problems
• Thermo-visco-elasticity with rate-independent plasticity in isotropic materials undergoing thermal expansion
• A VANISHING VISCOSITY APPROACH TO FRACTURE GROWTH IN A COHESIVE ZONE MODEL WITH PRESCRIBED CRACK PATH
• ON THE INVISCID LIMIT OF A MODEL FOR CRACK PROPAGATION
• Numerical approaches to rate-independent processes and applications in inelasticity
• Quasi-static crack growth for a cohesive zone model with prescribed crack path
• On the relation between the principle of maximum dissipation and inelastic evolution given by dissipation potentials
• A Rate-Independent Approach to the Delamination Problem
• Existence results for a class of rate-independent material models with nonconvex elastic energies
• QUASI-STATIC CRACK PROPAGATION BY GRIFFITH'S CRITERION

This page was built for publication: Quasistatic delamination models for Kirchhoff-Love plates