Numerical corroboration of Koiter’s model for all the main types of linearly elastic shells in the static case-Reference-Cited by-同舟云学术

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

Published:2023-04-27 Issue:11 Volume:28 Page:2347-2369
ISSN:1081-2865
Container-title:Mathematics and Mechanics of Solids
language:en
Short-container-title:Mathematics and Mechanics of Solids

Author:

Duan Wangxi¹,Piersanti Paolo²^ORCID,Shen Xiaoqin¹^ORCID,Yang Qian³

Affiliation:

1. Department of Applied Mathematics, School of Sciences, Xi’an University of Technology, Xi’an, China

2. Department of Mathematics and Institute for Scientific Computing and Applied Mathematics, Indiana University Bloomington, Bloomington, IN, USA

3. Department of Computer Science and Technology, School of Computer Science and Engineering, Xi’an University of Technology, Xi’an, China

Abstract

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.

Funder

Simons Foundation

National Natural Science Foundation of China

Publisher

SAGE Publications

Subject

Mechanics of Materials,General Materials Science,General Mathematics

Link

http://journals.sagepub.com/doi/pdf/10.1177/10812865231162049

Reference49 articles.

1. Asymptotic analysis of linearly elastic shells. III. Justification of Koiter's shell equations

2. A NEW KIND OF SINGULAR STIFF PROBLEMS AND APPLICATION TO THIN ELASTIC SHELLS

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