Unilateral Contact Between a Geometrically Non-Linear Plate and Elastic Foundation. A Model of Delamination Phenomena in a Two-Layered Composite
The unilateral problem of a circular geometrically non-linear plate which rests on an elastic foundation is investigated. Between the foundation and the plate there exists a connection with a given bounded ultimate (failure) tensile stress. Naturally, a rupture of the above-mentioned connection may occur beginning from some value of external forces and then in some region orregions the contact is destroyed and delamination phenomena (cracks) occur. In the regions of contact the reaction of the elastic foundation is determined by means of Winkler’s hypothesis. In the delamination zones no interaction between the plate and the foundation exists. This model of delamination (crack forming) process in a two-layered composite is investigated and some numerical results are given.
KeywordsElastic Foundation Additional Boundary Condition Membrane Force Crack Region Unilateral Problem
Unable to display preview. Download preview PDF.
- 1.Stavsky, Y.: Non-Linear Axisymmetric Deformations of Heterogeneous Shells of Revolution, in: Contribution to Mechanics (Ed. D. Abir), Pergammon Press, Oxford 1970, 181–194.Google Scholar
- 4.Shilkrut, D.: Axisymmetrical deformation of geometrically nonlinear cylindrically orthotropic circular plates on elastic foundation, Israel J. of Technology, 21 (1983), 85–90.Google Scholar
- 5.Ascione, L. and Bruno, D.: On the Delamfnation Problem of Two-Layer Plate, in: Unilateral Problems in Structural Analysis (Ed. G. Del-Piero and F. Maceri), Springer Verlag, Wien, N.Y., CISH, Udine Courses and Lectures, No. 388 (1985), 1–15.Google Scholar