Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



Semicoercive hemivariational inequalities. On the delamination of composite plates

Author: P. D. Panagiotopoulos
Journal: Quart. Appl. Math. 47 (1989), 611-629
MSC: Primary 73V25; Secondary 49J40, 73B27, 73K10, 73K20
DOI: https://doi.org/10.1090/qam/1031680
MathSciNet review: MR1031680
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Abstract: In this paper semicoercive hemivariational inequalities are studied in the framework of a concrete mechanical problem: the delamination effect of laminated plates. The interlaminar bonding forces are described by a nonmonotone multivalued law which may be written as the generalized gradient of a nonconvex superpotential in the sense of F. H. Clarke. Then necessary conditions are proved for the existence of the solution, as well as sufficient conditions using compactness and average value arguments.

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DOI: https://doi.org/10.1090/qam/1031680
Article copyright: © Copyright 1989 American Mathematical Society

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