The phase-field modeling of quasi-brittle fracture accounting for the irreversible growth of the regularization variable is considered. As a consequence of this irreversibility, the minimization problem turns into a variational inequality. A staggered solution scheme is employed to decouple the optimization algorithm. This leads to two sub-problems for the displacement and the phase field. The spatial discretization transforms the phase-field sub-problem into a symmetric linear complementarity problem. The present paper shows a robust and explicit algorithm to solve this problem.

A robust explicit algorithm for phase-field modeling of quasi-brittle fracture

A. Marengo;U. Perego;
2021

Abstract

The phase-field modeling of quasi-brittle fracture accounting for the irreversible growth of the regularization variable is considered. As a consequence of this irreversibility, the minimization problem turns into a variational inequality. A staggered solution scheme is employed to decouple the optimization algorithm. This leads to two sub-problems for the displacement and the phase field. The spatial discretization transforms the phase-field sub-problem into a symmetric linear complementarity problem. The present paper shows a robust and explicit algorithm to solve this problem.
ICTAM2020+1, August 22-27, 2021, Milano
Phase Field
Brittle Fracture
Irreversibility
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/1207136
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