Axisymmetric bending of a circular plate with stiff edge on a soft FGM layer

作者：Volkov Sergey S; Litvinenko Alexander N; Aizikovich Sergey M^*; Wang Yun Che; Vasiliev Andrey S

来源：Structural Engineering and Mechanics, 2016, 59(2): 227-241.

DOI：10.12989/sem.2016.59.2.227

• plate bending
• circular plate
• Kirchhoff plate
• axisymmetric problem
• functionally graded
• soft layer
• elastic layer
• analytic method

A circular plate with constant thickness, finite radius and stiff edge lying on an elastic half-space is considered. The half-space consists of a soft functionally graded (FGM) layer with arbitrary varying elastic properties and a homogeneous elastic substrate. The plate bends under the action of arbitrary axisymmetric distributed load and response from the elastic half-space. A semi-analytical solution for the problem effective in whole range of geometric (relative layer thickness) and mechanical (elastic properties of coating and substrate, stiffness of the plate) properties is constructed using the bilateral asymptotic method (Aizikovich et al. 2009). Approximated analytical expressions for the contact stresses and deflections of the plate are provided. Numerical results showing the qualitative dependence of the solution from the initial parameters of the problem are obtained with high precision.

• 出版日期2016-7-25