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Phase field modelling of crack propagation in functionally graded materials
Hirshikesh, , , Emilio Martínez-Pañeda
Published in Elsevier Ltd
2019
Volume: 169
   
Pages: 239 - 248
Abstract
We present a phase field formulation for fracture in functionally graded materials (FGMs). The model builds upon homogenization theory and accounts for the spatial variation of elastic and fracture properties. Several paradigmatic case studies are addressed to demonstrate the potential of the proposed modelling framework. Specifically, we (i) gain insight into the crack growth resistance of FGMs by conducting numerical experiments over a wide range of material gradation profiles and orientations, (ii) accurately reproduce the crack trajectories observed in graded photodegradable copolymers and glass-filled epoxy FGMs, (iii) benchmark our predictions with results from alternative numerical methodologies, and (iv) model complex crack paths and failure in three dimensional functionally graded solids. The suitability of phase field fracture methods in capturing the crack deflections intrinsic to crack tip mode-mixity due to material gradients is demonstrated. Material gradient profiles that prevent unstable fracture and enhance crack growth resistance are identified: this provides the foundation for the design of fracture resistant FGMs. The finite element code developed can be downloaded from www.empaneda.com/codes. © 2019 Elsevier Ltd
About the journal
JournalData powered by TypesetComposites Part B: Engineering
PublisherData powered by TypesetElsevier Ltd
ISSN13598368
Open AccessYes
Concepts (13)
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    Crack propagation
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    Crack tips
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    Finite element method
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    Fracture
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    Crack-growth resistance
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    Damage
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    HOMOGENIZATION THEORY
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    Numerical experiments
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    Numerical methodologies
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    Phase field modelling
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    Phase fields
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    PHOTODEGRADABLE COPOLYMER
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    Functionally graded materials