Quadratic programming contact formulation for elastic bodies using boundary element method

Srdan Šimunović; Sunil Saigal

doi:10.2514/3.12394

Quadratic programming contact formulation for elastic bodies using boundary element method

Srdan Šimunović, Sunil Saigal

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

A method for the analysis of contact of deformable bodies based on the boundary element method (BEM) has been presented in this paper. The contact problem is stated in the form of a convex quadratic programming (QP) problem written in terms of the contact tractions on the contact surface. A strategy for the incorporation of the BEM contact analysis into models whose domain may be discretized using the finite element method (FEM) has been investigated. A discussion concerning the merits of the proposed approach is provided and several examples are presented to illustrate the validity of the method.

Original language	English (US)
Pages (from-to)	325-331
Number of pages	7
Journal	AIAA Journal
Volume	33
Issue number	2
DOIs	https://doi.org/10.2514/3.12394
State	Published - Feb 1995
Externally published	Yes

All Science Journal Classification (ASJC) codes

Aerospace Engineering

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10.2514/3.12394

Cite this

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title = "Quadratic programming contact formulation for elastic bodies using boundary element method",

abstract = "A method for the analysis of contact of deformable bodies based on the boundary element method (BEM) has been presented in this paper. The contact problem is stated in the form of a convex quadratic programming (QP) problem written in terms of the contact tractions on the contact surface. A strategy for the incorporation of the BEM contact analysis into models whose domain may be discretized using the finite element method (FEM) has been investigated. A discussion concerning the merits of the proposed approach is provided and several examples are presented to illustrate the validity of the method.",

author = "Srdan {\v S}imunovi{\'c} and Sunil Saigal",

note = "Funding Information: This research has been supported in part by the National Science Foundation Presidential Young Investigator award MSS-9057055 with Oscar Dillon as the program manager, and by the Division of Material Sciences, U.S. Department of Energy, under contract DE-AC05-84OR21400 with Martin Marietta Energy Systems, Inc., by an appointment to the Oak Ridge National Laboratory Postdoc- toral Research Associates Program administered jointly by the Oak Ridge Institute for Science and Education and Oak Ridge National Laboratory.",

year = "1995",

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AU - Saigal, Sunil

N1 - Funding Information: This research has been supported in part by the National Science Foundation Presidential Young Investigator award MSS-9057055 with Oscar Dillon as the program manager, and by the Division of Material Sciences, U.S. Department of Energy, under contract DE-AC05-84OR21400 with Martin Marietta Energy Systems, Inc., by an appointment to the Oak Ridge National Laboratory Postdoc- toral Research Associates Program administered jointly by the Oak Ridge Institute for Science and Education and Oak Ridge National Laboratory.

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N2 - A method for the analysis of contact of deformable bodies based on the boundary element method (BEM) has been presented in this paper. The contact problem is stated in the form of a convex quadratic programming (QP) problem written in terms of the contact tractions on the contact surface. A strategy for the incorporation of the BEM contact analysis into models whose domain may be discretized using the finite element method (FEM) has been investigated. A discussion concerning the merits of the proposed approach is provided and several examples are presented to illustrate the validity of the method.

AB - A method for the analysis of contact of deformable bodies based on the boundary element method (BEM) has been presented in this paper. The contact problem is stated in the form of a convex quadratic programming (QP) problem written in terms of the contact tractions on the contact surface. A strategy for the incorporation of the BEM contact analysis into models whose domain may be discretized using the finite element method (FEM) has been investigated. A discussion concerning the merits of the proposed approach is provided and several examples are presented to illustrate the validity of the method.

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Quadratic programming contact formulation for elastic bodies using boundary element method

Abstract

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