Thermoelastic fracture analysis of functionally graded materials using the scaled boundary finite element method. (1st April 2022)

• Record Type: Journal Article
• Authors: Iqbal, M.D.; Birk, C.; Ooi, E.T.; Pramod, A.L.N.; Natarajan, S.; Gravenkamp, H.; Song, C.
• Is Part Of: Engineering fracture mechanics. Volume 264(2022)
• Publication Date: 2022-04-01
• Subjects: Thermoelasticity -- Stress intensity factors -- T-stress -- Functionally graded materials (FGM) -- SBFEM; Fracture mechanics -- Periodicals; Rupture, Mécanique de la -- Périodiques; Fracture mechanics; Periodicals; 620.112605
• DOI: 10.1016/j.engfracmech.2022.108305
• Languages: English
• ISSNs: 0013-7944

Abstract

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. Highlights: SBFEM is developed for thermoelastic fracture in functionally graded materials. Polygon shape functions enriched for accurate representation of thermal stress. Stiffness matrices including material gradient are obtained semi-analytically. Singular stress fields and T − stress are accurately captured without post-processing.