文献类型：期刊文献

英文题名：A numerical comparison of the uniformly valid asymptotic plate equations with a 3D model: Clamped rectangular incompressible elastic plates

作者：Wang, Fan-Fan[1];Dai, Hui-Hui[2,3];Giorgio, Ivan[4]

机构：[1]East China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China;[2]City Univ Hong Kong, Dept Math, Hong Kong, Peoples R China;[3]City Univ Hong Kong, Dept Mat Sci & Engn, Hong Kong, Peoples R China;[4]Univ Aquila, Dept Civil Construct Architectural & Environm Eng, Laquila, Italy

年份：2022

卷号：27

期号：8

起止页码：1370

外文期刊名：MATHEMATICS AND MECHANICS OF SOLIDS

收录：;EI(收录号：20222812335982);WOS:【SCI-EXPANDED(收录号:WOS:000682022900001)】；

基金：The author(s) disclosed receipt of the following financial support for the research, authorship, and/or publication of this article: This work was supported by the National Natural Science Foundation of China (project number 11102068) and GRF grants from the Research Grants Council of Hong Kong SAR, China (project numbers CityU 11303015 and CityU 11302417).

语种：英文

外文关键词：uniformly valid plate theory; weak formulation; numerical analysis; finite-element method; large deformations

摘要：In this paper, we derive the weak form for clamped plates composed of incompressible neo-Hookean material from the uniformly valid asymptotic plate theory. By using the finite-element software COMSOL, we study the numerical solutions of the weak form. We show the accuracy and the efficiency of the weak form by comparing the numerical results for the two-dimensional weak form and a three-dimensional model. As a basis for comparison we choose numerical values of the displacement, the second Piola-Kirchhoff stress, and the Green-Lagrange strain at the bottom. The numerical simulations are performed for three different cases of thickness-span ratios, including (1) very thin plate, (2) thin plate, and (3) moderately thick plate. The results show that the uniformly valid plate theory is a reliable and implementable plate theory for even moderately thick plates with large deformations.