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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Communicated by C. T. Leondes
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Chand, R., Haug, E.J. & Rim, K. Analysis of unbonded contact problems by means of quadratic programming. J Optim Theory Appl 20, 171–189 (1976). https://doi.org/10.1007/BF01767450
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DOI: https://doi.org/10.1007/BF01767450