A GENERALIZATION OF {\RM GO{\L}\c{A}B'S} THEOREM AND APPLICATIONS TO FRACTURE MECHANICS

DOI10.1142/S0218202502002112zbMath1092.74041arXivmath/0201141MaRDI QIDQ4799007

Alessandro Giacomini

Publication date: 16 March 2003

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0201141

zbMATH Keywords

energy minimizationfree discontinuity problemscrack propagationquasi-static evolutionvariational modelsbrittle fracturesGołąb's theorem

Mathematics Subject Classification ID

Related Items (7)

Variational methods for the selection of solutions to an implicit system of PDE ⋮ Quasi static growth of brittle cracks in a linearly elastic flexural plate ⋮ Variational approach to the free‐discontinuity problem of inverse crack identification ⋮ Ambrosio-Tortorelli approximation of quasi-static evolution of brittle fractures ⋮ Quasistatic crack growth in elasto-plastic materials: the two-dimensional case ⋮ Outer linear measure of connected sets via Steiner trees ⋮ A unified model for stress-driven rearrangement instabilities

Cites Work

• Revisiting brittle fracture as an energy minimization problem
• Weak convergence of completely additive vector functions on a set
• Continuity of neumann linear elliptic problems on varying two—dimensional bounded open sets

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