Abstract

An important application of the theory of variational inequalities has been found in the problem of one-sided contact of elastic bodies. This problem was formulated in a simplified form by Signorini as early as 1933 for the specific case of one-sided contact of one body with a perfectly rigid and smooth foundation. The Signorini problem was studied by Fichera (1964, 1972), who gave the proof of existence and regularity of the weak solution, and discussed the problem of nonuniqueness of solution.KeywordsWeak SolutionVariational InequalityContact ProblemDual ProblemElastic BodyThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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