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.
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© 1988 Springer Science+Business Media New York
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Hlaváček, I., Haslinger, J., Nečas, J., Lovíšek, J. (1988). One-Sided Contact of Elastic Bodies. In: Solution of Variational Inequalities in Mechanics. Applied Mathematical Sciences, vol 66. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1048-1_2
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DOI: https://doi.org/10.1007/978-1-4612-1048-1_2
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