From adhesive to brittle delamination in visco-elastodynamics
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Publication:4977912
DOI10.1142/S0218202517500257zbMath1375.49019arXiv1605.09566OpenAlexW2963828597MaRDI QIDQ4977912
Publication date: 17 August 2017
Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1605.09566
inertia\(\Gamma \)-convergencebrittle delaminationadhesive contact problemKelvin-Voigt visco-elasticitycoupled rate-dependent/rate-independent evolutionnonsmooth brittle constraintsemistable energetic solution
Set-valued and variational analysis (49J53) Small-strain, rate-dependent theories of plasticity (including theories of viscoplasticity) (74C10) Contact in solid mechanics (74M15) Brittle fracture (74R10) Methods involving semicontinuity and convergence; relaxation (49J45) Existence of solutions of dynamical problems in solid mechanics (74H20) PDEs in connection with mechanics of deformable solids (35Q74)
Related Items (9)
Radial solutions for a dynamic debonding model in dimension two ⋮ Cohesive zone-type delamination in visco-elasticity ⋮ Approximation Schemes for Materials with Discontinuities ⋮ On the 1d wave equation in time-dependent domains and the problem of debond initiation ⋮ On the quasistatic limit of dynamic evolutions for a peeling test in dimension one ⋮ Analysis of a Dynamic Peeling Test with Speed-Dependent Toughness ⋮ 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 ⋮ GENERIC for dissipative solids with bulk-interface interaction
Cites Work
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- Uniform Poincaré-Sobolev and isoperimetric inequalities for classes of domains
- Existence for wave equations on domains with arbitrary growing cracks
- Unilateral gradient flow of the Ambrosio-Tortorelli functional by minimizing movements
- Stress-driven local-solution approach to quasistatic brittle delamination
- Thermodynamics and analysis of rate-independent adhesive contact at small strains
- From damage to delamination in nonlinearly elastic materials at small strains
- Existence and uniqueness of dynamic evolutions for a peeling test in dimension one
- Quasistatic delamination problem
- Quasistatic crack growth in finite elasticity with non-interpenetration
- Dynamic crack propagation in a 2D elastic body: the out-of-plane case
- The variational approach to fracture
- Compact sets in the space \(L^ p(0,T;B)\)
- Damage, gradient of damage and principle of virtual power
- A density result in two-dimensional linearized elasticity, and applications
- A model for the quasi-static growth of brittle fractures: Existence and approximation results
- Ambrosio-Tortorelli approximation of quasi-static evolution of brittle fractures
- Quasistatic crack growth in nonlinear elasticity
- On rate-independent hysteresis models
- Relaxation in \(BV\) versus quasiconvexification in \(W^{1,p}\); a model for the interaction between fracture and damage
- Analytical and numerical treatment of a dynamic crack model
- Revisiting brittle fracture as an energy minimization problem
- Rate-independent damage in thermo-viscoelastic materials with inertia
- Existence for constrained dynamic Griffith fracture with a weak maximal dissipation condition
- Wave-crack interaction in finite elastic bodies
- Rate-independent systems. Theory and application
- Hardy's inequality for functions vanishing on a part of the boundary
- A time-discrete model for dynamic fracture based on crack regularization
- \(\Gamma\)-limits and relaxations for rate-independent evolutionary problems
- Quasistatic evolution problems for linearly elastic-perfectly plastic materials
- Differential, Energetic, and Metric Formulations for Rate-Independent Processes
- Thermodynamics of Rate-independent Processes in Viscous Solids at Small Strains
- BV solutions and viscosity approximations of rate-independent systems
- Linear Elliptic Boundary Value Problems with Non-Smooth Data: Campanato Spaces of Functionals
- Approximation of functional depending on jumps by elliptic functional via t-convergence
- Pointwise Hardy inequalities and uniformly fat sets
- ON THE INVISCID LIMIT OF A MODEL FOR CRACK PROPAGATION
- Epsilon-stable quasi-static brittle fracture evolution
- EXISTENCE OF SOLUTIONS TO A REGULARIZED MODEL OF DYNAMIC FRACTURE
- Rate-independent processes in viscous solids at small strains
- Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
- Uniformly Fat Sets
- Existence and convergence for quasi-static evolution in brittle fracture
- The Wave Equation on Domains with Cracks Growing on a Prescribed Path: Existence, Uniqueness, and Continuous Dependence on the Data
- Adhesive Contact of Visco-elastic Bodies and Defect Measures Arising by Vanishing Viscosity
- From an adhesive to a brittle delamination model in thermo-visco-elasticity
- Coupling Rate-Independent and Rate-Dependent Processes: Existence Results
- Measure and integration theory
- Nonlinear partial differential equations with applications
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