From finite to linear elastic fracture mechanics by scaling
From MaRDI portal
Publication:2510349
DOI10.1007/s00526-013-0645-1zbMath1297.49084OpenAlexW2133462097MaRDI QIDQ2510349
Publication date: 1 August 2014
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: http://porto.polito.it/2508681/
finite elasticityenergy release rate\(\Gamma\)-convergencequasi-static crack propagationbrittle domainhyperelastic energy
Methods involving semicontinuity and convergence; relaxation (49J45) Theories of fracture and damage (74A45) Variational principles of physics (49S05)
Related Items
Phase‐Field Fracture at Finite Strains Based on Modified Invariants: A Note on its Analysis and Simulations ⋮ Pressure live loads and the variational derivation of linear elasticity ⋮ Non-interpenetration conditions in the passage from nonlinear to linearized Griffith fracture ⋮ Analysis and simulations for a phase‐field fracture model at finite strains based on modified invariants ⋮ Linearized elasticity as Mosco limit of finite elasticity in the presence of cracks ⋮ Griffith energies as small strain limit of nonlinear models for nonsimple brittle materials
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Linear elasticity obtained from finite elasticity by \(\Gamma \)-convergence under weak coerciveness conditions
- Non-uniqueness of minimizers for strictly polyconvex functionals
- Quasistatic crack growth in finite elasticity with non-interpenetration
- The variational approach to fracture
- Crack growth in polyconvex materials
- Invertibility and weak continuity of the determinant for the modelling of cavitation and fracture in nonlinear elasticity
- Linear \(\Gamma \)-limits of multiwell energies in nonlinear elasticity theory
- Convexity conditions and existence theorems in nonlinear elasticity
- An introduction to \(\Gamma\)-convergence
- Linearized elasticity as \(\Gamma\)-limit of finite elasticity
- Quasistatic crack growth in nonlinear elasticity
- On rate-independent hysteresis models
- Hysteresis and imperfection sensitivity in small ferromagnetic particles
- Revisiting brittle fracture as an energy minimization problem
- An introduction to continuum mechanics
- Some Open Problems in Elasticity
- ON THE INVISCID LIMIT OF A MODEL FOR CRACK PROPAGATION
- A comparative analysis on variational models for quasi-static brittle crack propagation
- Two–dimensional modelling of soft ferromagnetic films
- A theorem on geometric rigidity and the derivation of nonlinear plate theory from three-dimensional elasticity
- Energy release rate for cracks in finite‐strain elasticity
- QUASI-STATIC CRACK PROPAGATION BY GRIFFITH'S CRITERION
This page was built for publication: From finite to linear elastic fracture mechanics by scaling
