A Boundary Element Method Without Internal Cells for Two-Dimensional and Three-Dimensional Elastoplastic ProblemsSource: Journal of Applied Mechanics:;2002:;volume( 069 ):;issue: 002::page 154Author:X.-W. Gao
DOI: 10.1115/1.1433478Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: In this paper, a new and simple boundary element method without internal cells is presented for the analysis of elastoplastic problems, based on an effective transformation technique from domain integrals to boundary integrals. The strong singularities appearing in internal stress integral equations are removed by transforming the domain integrals to the boundary. Other weakly singular domain integrals are transformed to the boundary by approximating the initial stresses with radial basis functions combined with polynomials in global coordinates. Three numerical examples are presented to demonstrate the validity and effectiveness of the proposed method.
keyword(s): Stress , Boundary element methods , Functions , Integral equations , Polynomials AND Equations ,
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| contributor author | X.-W. Gao | |
| date accessioned | 2017-05-09T00:06:41Z | |
| date available | 2017-05-09T00:06:41Z | |
| date copyright | March, 2002 | |
| date issued | 2002 | |
| identifier issn | 0021-8936 | |
| identifier other | JAMCAV-26532#154_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/126308 | |
| description abstract | In this paper, a new and simple boundary element method without internal cells is presented for the analysis of elastoplastic problems, based on an effective transformation technique from domain integrals to boundary integrals. The strong singularities appearing in internal stress integral equations are removed by transforming the domain integrals to the boundary. Other weakly singular domain integrals are transformed to the boundary by approximating the initial stresses with radial basis functions combined with polynomials in global coordinates. Three numerical examples are presented to demonstrate the validity and effectiveness of the proposed method. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | A Boundary Element Method Without Internal Cells for Two-Dimensional and Three-Dimensional Elastoplastic Problems | |
| type | Journal Paper | |
| journal volume | 69 | |
| journal issue | 2 | |
| journal title | Journal of Applied Mechanics | |
| identifier doi | 10.1115/1.1433478 | |
| journal fristpage | 154 | |
| journal lastpage | 160 | |
| identifier eissn | 1528-9036 | |
| keywords | Stress | |
| keywords | Boundary element methods | |
| keywords | Functions | |
| keywords | Integral equations | |
| keywords | Polynomials AND Equations | |
| tree | Journal of Applied Mechanics:;2002:;volume( 069 ):;issue: 002 | |
| contenttype | Fulltext |