On the quasistatic limit of dynamic evolutions for a peeling test in dimension one
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Publication:1702998
DOI10.1007/s00332-017-9407-0OpenAlexW2552606849WikidataQ47556802 ScholiaQ47556802MaRDI QIDQ1702998
Lorenzo Nardini, Giuliano Lazzaroni
Publication date: 1 March 2018
Published in: Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00332-017-9407-0
singular perturbationrate-independent evolutionGriffith's criteriondynamic debondingquasistatic limitvanishing inertia
Asymptotic behavior of solutions to PDEs (35B40) Shocks and related discontinuities in solid mechanics (74J40) Thin films (74K35) Wave equation (35L05) Free boundary problems for PDEs (35R35) PDEs in connection with mechanics of deformable solids (35Q74)
Related Items (13)
Radial solutions for a dynamic debonding model in dimension two ⋮ A comparative review of peridynamics and phase-field models for engineering fracture mechanics ⋮ On the approximation of quasistatic evolutions for the debonding of a thin film via vanishing inertia and viscosity ⋮ On the wave equation on moving domains: regularity, energy balance and application to dynamic debonding ⋮ The notions of inertial balanced viscosity and inertial virtual viscosity solution for rate-independent systems ⋮ 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 and uniqueness of dynamic evolutions for a one-dimensional debonding model with damping ⋮ A continuous dependence result for a dynamic debonding model in dimension one ⋮ A vanishing-inertia analysis for finite-dimensional rate-independent systems with nonautonomous dissipation and an application to soft crawlers ⋮ Quasistatic limit of a dynamic viscoelastic model with memory ⋮ A variational approach to the quasistatic limit of viscous dynamic evolutions in finite dimension
Cites Work
- Unnamed Item
- Unnamed Item
- Existence of weak solutions for a PDE system describing phase separation and damage processes including inertial effects
- Nonlinearly coupled thermo-visco-elasticity
- Existence for wave equations on domains with arbitrary growing cracks
- Quasistatic evolution in perfect plasticity as limit of dynamic processes
- Quasistatic crack growth based on viscous approximation: a model with branching and kinking
- Thermodynamics and analysis of rate-independent adhesive contact at small strains
- Quasistatic crack growth in finite elasticity with Lipschitz data
- Existence and uniqueness of dynamic evolutions for a peeling test in dimension one
- Second order approximations of quasistatic evolution problems in finite dimension
- Quasistatic crack growth in finite elasticity with non-interpenetration
- Dynamic crack propagation in a 2D elastic body: the out-of-plane case
- Thermomechanics of damageable materials under diffusion: modelling and analysis
- The variational approach to fracture
- Well-posedness results for a model of damage in thermoviscoelastic materials
- Crack growth in polyconvex materials
- Dynamic fracture: An example of convergence towards a discontinuous quasistatic solution
- 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
- On the quasistatic limit of dynamic evolutions for a peeling test in dimension one
- Quasistatic crack growth in nonlinear elasticity
- 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
- Rate-independent systems. Theory and application
- A note on the convergence of singularly perturbed second order potential-type equations
- On a doubly nonlinear model for the evolution of damaging in viscoelastic materials
- A dynamic evolution model for perfectly plastic plates
- Thermo-visco-elasticity with rate-independent plasticity in isotropic materials undergoing thermal expansion
- A MODEL FOR CRACK PROPAGATION BASED ON VISCOUS APPROXIMATION
- Linearly constrained evolutions of critical points and an application to cohesive fractures
- Thermodynamics of Rate-independent Processes in Viscous Solids at Small Strains
- Quasistatic crack evolution for a cohesive zone model with different response to loading and unloading: a Young measures approach
- 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
- EXISTENCE OF SOLUTIONS TO A REGULARIZED MODEL OF DYNAMIC FRACTURE
- Rate-independent processes in viscous solids at small strains
- Dynamic Fracture Mechanics
- Existence and convergence for quasi-static evolution in brittle fracture
- New dynamical equation for cracks
- Cohesive fracture with irreversibility: Quasistatic evolution for a model subject to fatigue
- 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 adhesive to brittle delamination in visco-elastodynamics
- Approximation of dynamic and quasi-static evolution problems in elasto-plasticity by cap models
- Existence of Weak Solutions for a Hyperbolic-Parabolic Phase Field System with Mixed Boundary Conditions on Nonsmooth Domains
- ``Entropic” Solutions to a Thermodynamically Consistent PDE System for Phase Transitions and Damage
- Energy release rate and quasi-static evolution via vanishing viscosity in a fracture model depending on the crack opening
- Quasi-static crack growth for a cohesive zone model with prescribed crack path
- A degenerating PDE system for phase transitions and damage
- QUASI-STATIC CRACK PROPAGATION BY GRIFFITH'S CRITERION
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