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A stable numerical scheme for the finite element simulation of dynamic crack propagation with remeshing. (English) Zbl 1112.74537
Summary: This paper presents a general study of the stability of variable-mesh dynamic calculations using an energy approach. This study, whose scope is limited to the calculation of dynamic crack propagation with remeshing, enables us to establish the conditions which are necessary to ensure stability and allow control of energy transfers during the evolution of the mesh. The problem of the implicit calculation of the crack length is also presented. The results obtained on an sample problem are analyzed to illustrate the effectiveness of the proposed methods.

MSC:
74S05 Finite element methods applied to problems in solid mechanics
74R10 Brittle fracture
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