TY  - EJOU
AU  - He, Shuangxin 
AU  - Wang, Chaoyang 
AU  - Zhou, Xuan 
AU  - Dong, Leiting 
AU  - Atluri, Satya N. 

TI  - Weakly Singular Symmetric Galerkin Boundary Element Method for Fracture Analysis of Three-Dimensional Structures Considering Rotational Inertia and Gravitational Forces
T2  - Computer Modeling in Engineering \& Sciences

PY  - 2022
VL  - 131
IS  - 3
SN  - 1526-1506

AB  - The Symmetric Galerkin Boundary Element Method is advantageous for the linear elastic fracture and crackgrowth analysis of solid structures, because only boundary and crack-surface elements are needed. However, for
engineering structures subjected to body forces such as rotational inertia and gravitational loads, additional domain
integral terms in the Galerkin boundary integral equation will necessitate meshing of the interior of the domain.
In this study, weakly-singular SGBEM for fracture analysis of three-dimensional structures considering rotational
inertia and gravitational forces are developed. By using divergence theorem or alternatively the radial integration
method, the domain integral terms caused by body forces are transformed into boundary integrals. And due to
the weak singularity of the formulated boundary integral equations, a simple Gauss-Legendre quadrature with a
few integral points is suffcient for numerically evaluating the SGBEM equations. Some numerical examples are
presented to verify this approach and results are compared with benchmark solutions.
KW  - Symmetric Galerkin boundary element method; rotational inertia; gravitational force; weak singularity; stress intensity factor

DO  - 10.32604/cmes.2022.019160