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Thermoelastic fracture analysis of functionally graded materials using the scaled boundary finite element method
Journal
Engineering Fracture Mechanics
ISSN
00137944
Date Issued
2022-04-01
Author(s)
Iqbal, M. D.
Birk, C.
Ooi, E. T.
Pramod, A. L.N.
Natarajan, S.
Gravenkamp, H.
Song, C.
Abstract
The scaled boundary finite element method is extended to model fracture in functionally graded materials (FGM) under coupled thermo-mechanical loads. The governing equations of coupled thermo-mechanical equilibrium are discretized using scaled boundary shape functions enriched with the thermal load terms. The material gradient is modeled as a series of power functions, and the stiffness matrix is calculated semi-analytically. Stress intensity factors and T−stress are directly calculated from their definition without any need for additional post-processing techniques. Arbitrary-sided polygon elements are employed for flexible mesh generation. Several numerical examples for isotropic and orthotropic FGMs are presented to validate the proposed technique.
Volume
264
Subjects