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.

引用

页码：9017 / 9026

页数：10

共 50 条

[21] Bending of an infinite elastic plate with Dirichlet boundary conditions
Constanda, Christian
Doty, Dale
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021, 44 (12) : 9675 - 9688
[22] ON NON-UNIQUENESS IN THE TRACTION BOUNDARY-VALUE PROBLEM FOR A COMPRESSIBLE ELASTIC SOLID
OGDEN, RW
QUARTERLY OF APPLIED MATHEMATICS, 1984, 42 (03) : 337 - 344
[23] A PROBLEM OF FINITE BENDING OF CIRCULAR RING PLATES
REISSNER, E
QUARTERLY OF APPLIED MATHEMATICS, 1952, 10 (02) : 167 - 173
[24] A PROBLEM OF FINITE BENDING OF CIRCULAR RING PLATES
REISSNER, E
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1952, 58 (02) : 195 - 195
[25] BOUNDARY ELEMENT BENDING ANALYSIS OF HEATED ELASTIC PLATES
KAMIYA, N
APPLIED MATHEMATICAL MODELLING, 1983, 7 (05) : 377 - 379
[26] Finite-difference method for Hygrothermo elastic boundary value problem
Ailawalia, Praveen
Sharma, Vikas
Singh, Joginder
COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, 2025, 13 (01): : 157 - 168
[27] The displacement initial-boundary value problem in bending of thermoelastic plates weakened by cracks
Chudinovich, I.
Constanda, C.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 348 (01) : 286 - 297
[28] On an infinite interval boundary value problem
Constantin A.
Annali di Matematica Pura ed Applicata, 1999, 176 (1) : 379 - 394
[29] Integral solutions of boundary value problems with non-standard boundary conditions in a theory of bending of elastic plates
P. Schiavone
C. Q. Ru
Zeitschrift für angewandte Mathematik und Physik ZAMP, 2002, 53 : 621 - 633
[30] Integral solutions of boundary value problems with non-standard boundary conditions in a theory of bending of elastic plates
Schiavone, P
Ru, CQ
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2002, 53 (04): : 621 - 633

← 1 2 3 4 5 →