Crack growth in polyconvex materials
DOI10.1016/j.physd.2009.02.008zbMath1201.49013OpenAlexW2170911583WikidataQ59901852 ScholiaQ59901852MaRDI QIDQ989347
Chiara Zanini, Dorothee Knees, Alexander Mielke
Publication date: 19 August 2010
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physd.2009.02.008
energetic formulationenergy-release ratefinite-strain elasticityGriffith fracture criterionlocal energetic solutionparameterized solutionsrate-independent problemstime-incremental minimization
Variational inequalities (49J40) Nonsmooth analysis (49J52) Abstract parabolic equations (35K90) Nonlinear elasticity (74B20) Brittle fracture (74R10) Energy minimization in equilibrium problems in solid mechanics (74G65) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25)
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Cites Work
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- Global existence for rate-independent gradient plasticity at finite strain
- Non-uniqueness of minimizers for strictly polyconvex functionals
- Quasistatic crack growth in finite elasticity with non-interpenetration
- Crack initiation in brittle materials
- Convexity conditions and existence theorems in nonlinear elasticity
- Quasistatic crack growth in nonlinear elasticity
- Revisiting brittle fracture as an energy minimization problem
- On a notion of unilateral slope for the Mumford-Shah functional
- Some Open Problems in Elasticity
- GRIFFITH-FORMULA AND J-INTEGRAL FOR A CRACK IN A POWER-LAW HARDENING MATERIAL
- 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
- A robust algorithm for configurational-force-driven brittle crack propagation with R-adaptive mesh alignment
- A variational model for quasistatic crack growth in nonlinear elasticity: some qualitative properties of the solutions
- Maximal smoothness of solutions to certain Euler–Lagrange equations from nonlinear elasticity
- Variational Analysis
- 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
- Energy release rate for cracks in finite‐strain elasticity
- 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
- Set-valued analysis
- Nonlinear problems of elasticity