Quasi static growth of brittle cracks in a linearly elastic flexural plate

DOI10.1007/s10231-005-0157-5zbMath1232.74059OpenAlexW2060501877MaRDI QIDQ661079

Fausto Acanfora, Marcello Ponsiglione

Publication date: 18 February 2012

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10231-005-0157-5

zbMATH Keywords

energy minimizationbrittle fractureplatesfree discontinuity problemscrack propagationquasi static growthvariational methods for higher-order elliptic equations

Mathematics Subject Classification ID

Plates (74K20) Energy minimization in equilibrium problems in solid mechanics (74G65) Theoretical approximation in context of PDEs (35A35) Free boundary problems for PDEs (35R35) Variational methods for higher-order elliptic equations (35J35)

Related Items (3)

A \(\Gamma\)-convergence approach to stability of unilateral minimality properties in fracture mechanics and applications ⋮ Quasistatic crack growth in elasto-plastic materials: the two-dimensional case ⋮ Quasistatic brittle fracture seen as an energy minimizing movement

Cites Work

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• A density result in two-dimensional linearized elasticity, and applications
• A model for the quasi-static growth of brittle fractures: Existence and approximation results
• Revisiting brittle fracture as an energy minimization problem
• Existence and convergence for quasi-static evolution in brittle fracture
• Stability of some unilateral free-discontinuity problems in two-dimensional domains
• A GENERALIZATION OF {\RM GO{\L}\c{A}B'S} THEOREM AND APPLICATIONS TO FRACTURE MECHANICS

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