Elements with Embedded Discontinuities and the eXtended Finite Element Method are the main tools for the discrete description of the problem. The method of Embedded Discontinuities, however, appears to present some advantage in the computational implementation, since the evaluation of the discontinuity can be made at the element level, eventually together with the evaluation of additional irreversible variables. The paper presents the numerical implementation of a variational formulation for a continuum medium characterized by an elastic-plastic damaging behavior in which the growth of interfaces S takes places. The presence of preassigned physical interfaces is also considered. The growth or the activation of an interface is ruled by speci¯c activation function, based on a cohesive fracture like criterion. In the general formulation the medium and the interface are ruled by di®erent constitutive equations, de¯ned by distinct free energy and dissipation functionals.
A numerical algorithm for the prediction of growth and propagation of interfaces
CONTRAFATTO, Loredana Caterina;CUOMO, Massimo
2009-01-01
Abstract
Elements with Embedded Discontinuities and the eXtended Finite Element Method are the main tools for the discrete description of the problem. The method of Embedded Discontinuities, however, appears to present some advantage in the computational implementation, since the evaluation of the discontinuity can be made at the element level, eventually together with the evaluation of additional irreversible variables. The paper presents the numerical implementation of a variational formulation for a continuum medium characterized by an elastic-plastic damaging behavior in which the growth of interfaces S takes places. The presence of preassigned physical interfaces is also considered. The growth or the activation of an interface is ruled by speci¯c activation function, based on a cohesive fracture like criterion. In the general formulation the medium and the interface are ruled by di®erent constitutive equations, de¯ned by distinct free energy and dissipation functionals.File | Dimensione | Formato | |
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