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Variational Methods for Material Damage: Fracture, Fatigue, and Debonding

Title
Variational Methods for Material Damage: Fracture, Fatigue, and Debonding
Funding
NSF | Directorate for Mathematical & Physical Sciences | Division of Mathematical Sciences
Contract (GA) number
0505660
Start Date
2005/06/01
End Date
2008/05/31
Open Access mandate
no
Organizations
Worcester Polytechnic Institute
More information
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  • Existence of solutions to a regularized model of dynamic fracture

    Existence and convergence results are proved for a regularized model of dynamic brittle fracture based on the Ambrosio–Tortorelli approximation. We show that the sequence of solutions to the time-discrete elastodynamics, proposed by Bourdin, Larsen & Richardson as a semidiscrete numerical model for dynamic fracture, converges, as the time-step approaches zero, to a solution of the natural time-continuous elastodynamics model, and that this solution satisfies an energy balance. We emphasize th...
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