A new and efficient boundary element-free method for 2-D crack problems
type: Item
instance of: scholarly article
title: A new and efficient boundary element-free method for 2-D crack problems
zbMATH Open document ID: 1426.74266
DOI: 10.1155/2017/1863714
author: Jinchao Yue
author: LiWu Chang
author: Yuzhou Sun
published in: Mathematical Problems in Engineering
publication date: 2018-11-05T00:00:00Z
review text: Summary: An efficient boundary element-free method is established for 2-D crack problems by combining a pair of boundary integral equations and the moving-least square approximation. The displacement boundary integral equation is collated on the on-crack boundary, and a new traction boundary integral equation is applied on the crack surface without the separate consideration of the upper and lower sides. In virtue of integration by parts, only singularity in order \(1 / r\) is involved in the integral kernels of new traction boundary integral equation, which brings convenience to the numerical implementation. Meanwhile, the integration by parts produces the new variables, the displacement density, and displacement dislocation density, and they are the coexisting unknowns along with the displacement and displacement dislocation. With the high-order continuity of the moving-least square approximation, these new variables are directly approximated with the nodal displacement or displacement dislocation, and the final system of equations contains the unknowns of nodal displacements and displacement dislocations only. The boundary element-free computational scheme is established, and several examples show the efficiency and flexibility of the proposed method.
Mathematics Subject Classification ID: 74R10
Mathematics Subject Classification ID: 65N38
Mathematics Subject Classification ID: 74S15
zbMATH DE Number: 6971808
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2017/1863714
OpenAlex ID: W2589930954
Wikidata QID: Q59147325
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description: scientific article; zbMATH DE number 6971808