The delamination effect in laminated von Kármán plates under unilateral boundary conditions. A variational-hemivariational inequality approach

DOI10.1007/BF00041685zbMath0712.73059MaRDI QIDQ749312

Georgios E. Stavroulakis, Panagiotis D. Panagiotopoulos

Publication date: 1990

Published in: Journal of Elasticity (Search for Journal in Brave)

zbMATH Keywords

monotonicityexistenceapproximationcompactnessnonconvexlarge displacementsconvex superpotentialsaverage value argumentsinteraction between the laminaelaminated-plate theorynonconvex superpotentialnonmonotone, possibly multivalued law

Mathematics Subject Classification ID

Related Items (12)

A unilateral contact model with buckling in von Kármán plates ⋮ An eigenvalue problem for a hemivariational inequality involving a nonlinear compact operator ⋮ On the numerical treatment of nonconvex energy problems of mechanics ⋮ Stability of elastic bodies with nonmonotone multivalued boundary conditions of the quasidifferential type ⋮ Delamination of composites as a substationarity problem: Numerical approximation and algorithms ⋮ Well-posed hemivariational inequalities ⋮ On the Hemivariational Inequality Approach to Nonconvex Constrained Problems in the Theory of von Kármán Plates ⋮ Noncoercive hemivariational inequality and its applications in nonconvex unilateral mechanics ⋮ Adhesive joints and interfaces of linear elastic bodies in loading and unloading. Semicoercive hemivariational inequalities ⋮ Unnamed Item ⋮ Nonconvex energy functions, related eigenvalue hemivariational inequalities on the sphere and applications ⋮ On debonding and delamination effects in adhesively bonded cracks on fractal type

Cites Work

• A justification of the von Kármán equations
• Variational methods for non-differentiable functionals and their applications to partial differential equations
• Optimization and nonsmooth analysis
• A variational-hemivariational inequality approach to the laminated plate theory under subdifferential boundary conditions
• Generalized Gradients and Applications
• Discontinuous Semilinear Differential Equations and Multiple Valued Maps
• On von kármán's equations and the buckling of a thin elastic plate, I the clamped plate
• Von Kármán's equations and the buckling of a thin elastic plate, II plate with general edge conditions
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