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Semicoercive hemivariational inequalities. On the delamination of composite plates. (English) Zbl 0693.73007

(Author’s summary.) 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 at the generalized gradient of a nonconvex superpotential in the sense of F. H. Clarke [e.g.: Adv. Math. 40, 52-67 (1981; Zbl 0463.49017)]. Then necessary conditions are proved for the existence of the solution, as well as sufficient conditions using compactness and average value arguments.
Reviewer: W.Velte

MSC:

74S30 Other numerical methods in solid mechanics (MSC2010)
49J40 Variational inequalities
74E30 Composite and mixture properties
74A55 Theories of friction (tribology)
74M15 Contact in solid mechanics
74K20 Plates
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