A survey on variational rupture theory

DOI10.5802/slsedp.17zbMath1325.35213OpenAlexW2566027880MaRDI QIDQ2354249

Gilles A. Francfort

Publication date: 10 July 2015

Published in: Séminaire Laurent Schwartz. EDP et Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5802/slsedp.17

Mathematics Subject Classification ID

Thermal effects in solid mechanics (74F05) Fracture and damage (74R99) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (1)

Phase-field modeling through iterative splitting of hydraulic fractures in a poroelastic medium

Cites Work

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• Revisiting energy release rates in brittle fracture
• Quasistatic crack growth in finite elasticity with non-interpenetration
• The variational approach to fracture
• Crack paths in plane situations. II: Detailed form of the expansion of the stress intensity factors
• Variational formulation of softening phenomena in fracture mechanics: The one-dimensional case
• A density result in two-dimensional linearized elasticity, and applications
• A model for the quasi-static growth of brittle fractures: Existence and approximation results
• Quasistatic crack growth in nonlinear elasticity
• An approximation result for special functions with bounded deformation
• Revisiting brittle fracture as an energy minimization problem
• Approximation of functional depending on jumps by elliptic functional via t-convergence
• Continuity of neumann linear elliptic problems on varying two—dimensional bounded open sets
• Existence and convergence for quasi-static evolution in brittle fracture
• VI. The phenomena of rupture and flow in solids

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