Stress analysis of three-dimensional media containing localized zone by FEM-SGBEM coupling
type: Item
instance of: scholarly article
title: Stress analysis of three-dimensional media containing localized zone by FEM-SGBEM coupling
zbMATH Open document ID: 1235.74309
DOI: 10.1155/2011/702082
author: Jaroon Rungamornrat
author: Sakravee Sripirom
published in: Mathematical Problems in Engineering
publication date: 2012-04-03T00:00:00Z
review text: Summary: This paper presents an efficient numerical technique for stress analysis of three-dimensional infinite media containing cracks and localized complex regions. To enhance the computational efficiency of the boundary element methods generally found inefficient to treat nonlinearities and non-homogeneous data present within a domain and the finite element method (FEM) potentially demanding substantial computational cost in the modeling of an unbounded medium containing cracks, a coupling procedure exploiting positive features of both the FEM and a symmetric Galerkin boundary element method (SGBEM) is proposed. The former is utilized to model a finite, small part of the domain containing a complex region whereas the latter is employed to treat the remaining unbounded part possibly containing cracks. Use of boundary integral equations to form the key governing equation for the unbounded region offers essential benefits including the reduction of the spatial dimension and the corresponding discretization effort without the domain truncation. In addition, all involved boundary integral equations contain only weakly singular kernels thus allowing continuous interpolation functions to be utilized in the approximation and also easing the numerical integration. Nonlinearities and other complex behaviors within the localized regions are efficiently modeled by utilizing vast features of the FEM. A selected set of results is then reported to demonstrate the accuracy and capability of the technique.
Mathematics Subject Classification ID: 74S05
zbMATH DE Number: 6021144
Wikidata QID: Q58693367
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2011/702082
OpenAlex ID: W2006166090
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description: scientific article; zbMATH DE number 6021144