Transient thermoelastic fracture analysis of functionally graded materials using the scaled boundary finite element method

被引：9
作者：
Iqbal, M. D. [1 ]
Birk, C. [1 ]
Ooi, E. T. [2 ]
Natarajan, S. [3 ]
Gravenkamp, H. [4 ]
机构：
[1] Univ Duisburg Essen, Inst Struct Anal, D-45141 Essen, Germany
[2] Federat Univ Australia, Inst Innovat Sci & Sustainabil, Future Reg Res Ctr, Ballarat, Vic 3350, Australia
[3] Indian Inst Technol Madras, Dept Mech Engn, Chennai 600036, India
[4] Int Ctr Numer Methods Engn CIMNE, Barcelona 08034, Spain
来源：
THEORETICAL AND APPLIED FRACTURE MECHANICS | 2023年 / 127卷
关键词：
Transient thermoelasticity; Fracture; Stress intensity factors; Functionally graded materials (FGM); Scaled boundary finite element method(SBFEM); MIXED-MODE FRACTURE; THERMAL-STRESS ANALYSIS; CRACK-PROPAGATION; CELL METHOD; FGM PLATES; POLYGONS; PATH;
D O I：
10.1016/j.tafmec.2023.104056
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
To model fracture in functionally graded materials (FGMs), the scaled boundary finite element method (SBFEM) is extended to examine the effects of fully coupled transient thermoelasticity. Previously developed SBFEM supplementary shape functions are utilized to model thermal stresses. The spatial variation of thermal and mechanical properties of FGMs are approximated by polynomial functions facilitating the semi analytical evaluation of coefficient matrices. The dynamic stress intensity factors (SIFs) are also evaluated semi-analytically from their definitions without the need for additional post-processing. Scaled boundary polygon elements are employed to facilitate the meshing of complex crack geometries. Both isotropic and orthotropic materials with different material gradation functions are considered. To study the transient effects of thermoelasticity on fracture parameters, several numerical examples with different crack configurations and boundary conditions are considered. The current approach is validated by comparing the results of dynamic SIFs with available reference solutions.
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页数：14
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