Numerical solutions for crack growth based on the variational theory of fracture

DOI10.1007/s00466-012-0755-1zbMath1398.74290OpenAlexW2047150699MaRDI QIDQ1933491

Maurizio Angelillo, Antonio Fortunato, Enrico Babilio

Publication date: 24 January 2013

Published in: Computational Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00466-012-0755-1

zbMATH Keywords

energy minimizationbrittle fracturedescent methodsvariable mesh

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Brittle fracture (74R10) Finite element methods applied to problems in solid mechanics (74S05) Energy minimization in equilibrium problems in solid mechanics (74G65) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12)

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Uses Software

• Surface Evolver

Cites Work

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• A Numerical Method for Fracture of Rods
• Epsilon-stable quasi-static brittle fracture evolution
• A finite element method for crack growth without remeshing
• A mountain pass method for the numerical solution of semilinear elliptic problems
• An extended finite element method for modeling crack growth with frictional contact.