Comparison of approximation methods for bending of finite and infinite elastic plates: The traction boundary value problem

被引：0
|
作者：
Constanda, Christian [1 ,2 ]
Doty, Dale [1 ]
机构：
[1] Univ Tulsa, Dept Math, Tulsa, OK USA
[2] Univ Tulsa, Dept Math, Tulsa, OK 74104 USA
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2024年 / 47卷 / 11期
关键词：
elastic plates; generalized Fourier series; layer potentials; Neumann problem;
D O I：
10.1002/mma.10057
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A generalized Fourier series method is designed to approximate the solution of the Neumann problem in a finite domain and in an infinite domain with a hole, for the mathematical model of bending of elastic plates with transverse shear deformation. The results in the two cases are compared and contrasted, and the analysis is illustrated by examples with specific boundary conditions.
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页码：9017 / 9026
页数：10
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