Method of Solving Geometrically Nonlinear Bending Problems of Functionally Graded Shallow Shells of Complex Shape

被引：0
作者：
S. M. Sklepus
机构：
[1] S. P. Timoshenko Institute of Mechanics,
[2] National Academy of Sciences of Ukraine,undefined
来源：
International Applied Mechanics | 2023年 / 59卷
关键词：
flexible shallow shell; functionally graded material; geometric nonlinearity; complex shape; R-functions method;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A new numerical-analytical method for solving geometrically nonlinear bending problems for thin shallow shells of complex shape in plan made of functionally graded materials is developed. The method is based on the R-functions method and the parameter continuation method. Test problems for clamped homogeneous and hinged functionally graded plates under uniformly distributed load of different intensity are solved. The results for deflections and stresses obtained with the developed method are compared with those obtained with other methods. The bending problem for a functionally graded shell of complex shape is solved. The influence of the gradient properties of the material and geometric shape on the stress–strain state is studied.
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页码：725 / 733
页数：8
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