Numerical corroboration of Koiter's model for all the main types of linearly elastic shells in the static case

被引：2

作者：

Duan, Wangxi ^{[1
]}

Piersanti, Paolo ^{[2
,4
]}

Shen, Xiaoqin ^{[1
,5
]}

Yang, Qian ^{[3
]}

机构：

[1] Xian Univ Technol, Sch Sci, Dept Appl Math, Xian, Peoples R China

[2] Indiana Univ Bloomington, Inst Sci Comp & Appl Math, Dept Math, Bloomington, IN USA

[3] Xian Univ Technol, Sch Comp Sci & Engn, Dept Comp Sci & Technol, Xian, Peoples R China

[4] Indiana Univ Bloomington, Inst Sci Comp & Appl Math, Dept Math, 729 East Third St, Bloomington, IN 47405 USA

[5] Xian Univ Technol, Sch Sci, Dept Appl Math, POB 1243,Yanxiang Rd 58, Xian 710054, Peoples R China

来源：

MATHEMATICS AND MECHANICS OF SOLIDS | 2023年 / 28卷 / 11期

基金：

中国国家自然科学基金;

关键词：

Finite Element Method; Koiter's model; Asymptotic analysis; DYNAMIC CONTACT PROBLEM; ASYMPTOTIC ANALYSIS; MEMBRANE SHELL; CONFINEMENT PROBLEM; JUSTIFICATION; EQUATIONS;

D O I：

10.1177/10812865231162049

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper, we corroborate the main theorems establishing the justification of Koiter's model, established by Ciarlet and his associates, for all the types of linearly elastic shells via a set of numerical experiments.

引用

页码：2347 / 2369

页数：23

共 7 条

[1] On the numerical corroboration of an obstacle problem for linearly elastic flexural shells
Peng, Xin
Piersanti, Paolo
Shen, Xiaoqin
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2024, 382 (2277):
[2] About the asymptotic analysis of Koiter's model in the case of a flexural linearly elastic shell
Lods, V
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1997, 325 (12): : 1337 - 1340
[3] Asymptotic analysis of linearly elastic shells .3. Justification of Koiter's shell equations
Ciarlet, PG
Lods, V
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1996, 136 (02) : 191 - 200
[4] Asymptotic justification of the intrinsic equations of Koiter's model of a linearly elastic shell
Ciarlet, Philippe G.
Mardare, Cristinel
COMPTES RENDUS MATHEMATIQUE, 2019, 357 (01) : 99 - 110
[5] ASYMPTOTIC ANALYSIS OF LINEARLY ELASTIC SHELLS .3. A JUSTIFICATION OF KOITER,W.T. MODEL
CIARLET, PG
LODS, V
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1994, 319 (03): : 299 - 304
[6] ANALYTICAL AND NUMERICAL STUDY OF SOME VARIANTS OF KOITER'S LINEAR MODEL OF THIN SHELLS
Vilarino Moreno, Angeles
PUBLICACIONS MATEMATIQUES, 1996, 40 (01) : 215 - 228
[7] On one problem of a cusped elastic prismatic shells in case of the third model of Vekua's hierarchical model
Chinchaladze, Natalia
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2016, 45 (06): : 1665 - 1673

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