Energy methods in fracture mechanics: stability, bifurcation and second variations
| Autor: | Nguyen, Quoc Son, Stolz, Claude, Debruyne, Gilles |
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| Přispěvatelé: | Laboratoire de mécanique des solides (LMS), École polytechnique (X)-MINES ParisTech - École nationale supérieure des mines de Paris, Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Centre National de la Recherche Scientifique (CNRS) |
| Jazyk: | francouzština |
| Rok vydání: | 1990 |
| Předmět: | |
| Zdroj: | European Journal of Mechanics-A/Solids European Journal of Mechanics-A/Solids, Elsevier, 1990, 9, pp.157-173 |
| ISSN: | 0997-7538 |
| Popis: | The quasistatic evolution of a system of interacting linear cracks is considered in brittle fracture. Stability and bifurcation criteria are presented in terms of the second variation of the potential energy and with a formulation of the rate boundary value problem following Hill's method. A symmetric description is proposed for this problem involving as principal unknowns the crack propagation velocity and the displacement velocity defined on the current configuration. As a consequence, an explicit expression for the matrix of the second derivatives of energy with respect to the crack length is given in terms of new path-independent integrals. The numerical computation of these path independent integrals by the f.e.m is also considered and illustrated by some simple examples. |
| Databáze: | OpenAIRE |
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