Stress-Strain State of an Orthotropic Rectangular Plate Simply Supported on All Sides

Abstract. In view of the wide application of composite structures in engineering practice, an important task is to study their stress-strain state under the action of various loads. An orthotropic rectangular plate simply supported on four sides was considered. The stress-strain state of the plate under the action of a normally applied load was investigated. General analytical expressions are obtained that allow determining the stress-strain state in an orthotropic plate for different geometric parameters of the plate, for different elastic characteristics of the plate material and for different dimensions of the loading area. Using the derived general analytical expressions, various particular solutions can be obtained: under the action of a normal load applied over the entire surface of the plate, under the action of local and concentrated loads. The results of calculations of an orthotropic carbon fiber plate under the action of a uniformly distributed load applied over the entire surface of the plate are presented as a test problem. To obtain the resolving differential equation, operational calculus associated with the Laplace transform was used.