Existence theorems for contact with friction of two linear elastic bodies

Tang Qi

Research output: Contribution to journalArticle

Abstract

In this article, I give an iteration method for solving the Signorini problem by the idea of concentration cancellation. The nonlinear quantity in the mathematical formulation of the problem caused by contact-friction effect on the boundary is relaxed to a convex functional. Therefore, the relaxed problem can be solved by using convex minimization techniques which are numerically stable. Finally, good convergence property of the proposed method is proved. © 1990.

Original languageEnglish
Pages (from-to)220-228
Number of pages9
JournalPhysica D: Nonlinear Phenomena
Volume43
Issue number2-3
Publication statusPublished - Jul 1990

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Elastic body
Existence Theorem
Friction
Contact
Signorini Problem
Convex Minimization
Iteration Method
Cancellation
Convergence Properties
Formulation

Cite this

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abstract = "In this article, I give an iteration method for solving the Signorini problem by the idea of concentration cancellation. The nonlinear quantity in the mathematical formulation of the problem caused by contact-friction effect on the boundary is relaxed to a convex functional. Therefore, the relaxed problem can be solved by using convex minimization techniques which are numerically stable. Finally, good convergence property of the proposed method is proved. {\circledC} 1990.",
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Existence theorems for contact with friction of two linear elastic bodies. / Qi, Tang.

In: Physica D: Nonlinear Phenomena, Vol. 43, No. 2-3, 07.1990, p. 220-228.

Research output: Contribution to journalArticle

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PY - 1990/7

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N2 - In this article, I give an iteration method for solving the Signorini problem by the idea of concentration cancellation. The nonlinear quantity in the mathematical formulation of the problem caused by contact-friction effect on the boundary is relaxed to a convex functional. Therefore, the relaxed problem can be solved by using convex minimization techniques which are numerically stable. Finally, good convergence property of the proposed method is proved. © 1990.

AB - In this article, I give an iteration method for solving the Signorini problem by the idea of concentration cancellation. The nonlinear quantity in the mathematical formulation of the problem caused by contact-friction effect on the boundary is relaxed to a convex functional. Therefore, the relaxed problem can be solved by using convex minimization techniques which are numerically stable. Finally, good convergence property of the proposed method is proved. © 1990.

M3 - Article

VL - 43

SP - 220

EP - 228

JO - Physica D: Nonlinear Phenomena

JF - Physica D: Nonlinear Phenomena

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