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Adaptive phase field modelling of crack propagation in orthotropic functionally graded materials

Accepted version
Peer-reviewed

Type

Article

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Authors

Hirshikesh 
Martínez-Pañeda, Emilio  ORCID logo  https://orcid.org/0000-0002-1562-097X
Natarajan, S 

Abstract

In this work, we extend the recently proposed adaptive phase field method to model fracture in orthotropic functionally graded materials (FGMs). A recovery type error indicator combined with quadtree decomposition is employed for adaptive mesh refinement. The proposed approach is capable of capturing the fracture process with a localized mesh refinement that provides notable gains in computational efficiency. The implementation is validated against experimental data and other numerical experiments on orthotropic materials with different material orientations. The results reveal an increase in the stiffness and the maximum force with increasing material orientation angle. The study is then extended to the analysis of orthotropic FGMs. It is observed that, if the gradation in fracture properties is neglected, the material gradient plays a secondary role, with the fracture behaviour being dominated by the orthotropy of the material. However, when the toughness increases along the crack propagation path, a substantial gain in fracture resistance is observed.

Description

Keywords

Functionally graded materials, Phase field fracture, Polygonal finite element method, Orthotropic materials, Recovery based error indicator

Journal Title

Defence Technology

Conference Name

Journal ISSN

2214-9147
2214-9147

Volume Title

17

Publisher

Elsevier BV