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A mechanism-based gradient damage model for metallic fracture

Accepted version
Peer-reviewed

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Type

Article

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Authors

Shishvan, SS 
Assadpour-asl, S 
Martínez-Pañeda, Emilio  ORCID logo  https://orcid.org/0000-0002-1562-097X

Abstract

A new gradient-based formulation for predicting fracture in elastic-plastic solids is presented. Damage is captured by means of a phase field model that considers both the elastic and plastic works as driving forces for fracture. Material deformation is characterised by a mechanism-based strain gradient constitutive model. This non-local plastic-damage formulation is numerically implemented and used to simulate fracture in several paradigmatic boundary value problems. The case studies aim at shedding light into the role of the plastic and fracture length scales. It is found that the role of plastic strain gradients is two-fold. When dealing with sharp defects like cracks, plastic strain gradients elevate local stresses and facilitate fracture. However, in the presence of non-sharp defects failure is driven by the localisation of plastic flow, which is delayed due to the additional work hardening introduced by plastic strain gradients.

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Keywords

Phase field fracture, Strain gradient plasticity, Damage, Finite element analysis, Taylor dislocation model

Journal Title

Engineering Fracture Mechanics

Conference Name

Journal ISSN

0013-7944
1873-7315

Volume Title

255

Publisher

Elsevier BV