Mathematical models with buckling and contact phenomena for elastic plates: a reviewMathematical models with buckling and contact phenomena for elastic plates: a review Ανασκόπηση Review 2021-09-072020enA review of mathematical models for elastic plates with buckling and contact phenomena is provided. The state of the art in this domain is presented. Buckling effects are discussed on an example of a system of nonlinear partial differential equations, describing large deflections of the plate. Unilateral contact problems with buckling, including models for plates, resting on elastic foundations, and contact models for delaminated composite plates, are formulated. Dynamic nonlinear equations for elastic plates, which possess buckling and contact effects are also presented. Most commonly used boundary and initial conditions are set up. The advantages and disadvantages of analytical, semi-analytical, and numerical techniques for the buckling and contact problems are discussed. The corresponding references are given.http://creativecommons.org/licenses/by/4.0/Mathematics84Muradova_et_al_Mathematics_8(4)_2020.pdfChania [Greece]Library of TUC2021-09-06application/pdf399.5 kBfree Muradova Aliki Muradova Aliki Stavroulakis Georgios Σταυρουλακης Γεωργιος MDPI Elastic plate model Partial differential equation Boundary conditions Initial conditions Buckling phenomenon Contact effects Delaminated composite plate Nonlinear dynamic system Approximation techniques