Analysis of unbonded contact problems by means of quadratic programming |
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Authors: | R Chand E J Haug K Rim |
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Institution: | (1) Department of Mechanics and Hydraulics, University of Iowa, Iowa City, Iowa;(2) Headquarters, US Army Armament Command, Rock Island, Illinois |
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Abstract: | Two-body, elastic, unbonded contact problems are formulated as quadratic programming problems. Uniqueness theorems of quadratic programming theory are applied to show that the solution of a contact problem, if one exists, is unique and can be readily found by the modified simplex method of quadratic programming. A solution technique that is compatible with finite-element methods is developed, so that contact problems with complex boundary configurations can be routinely solved. A number of classical and nonclassical problems are solved. Good agreement is found for problems with previously known solutions. |
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Keywords: | Contact problems quadratic programming mechanics nonlinear programming contact stresses |
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