文献类型：期刊文献

英文题名：On a uniformly-valid asymptotic plate theory

作者：Wang, Fan-Fan[1,2];Steigmann, David J.[2];Dai, Hui-Hui[3,4]

机构：[1]East China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China;[2]Univ Calif Berkeley, Dept Mech Engn, Berkeley, CA 94720 USA;[3]City Univ Hong Kong, Dept Math, Kowloon Tong, 83 Tat Chee Ave, Hong Kong, Peoples R China;[4]City Univ Hong Kong, Dept Mat Sci & Engn, Kowloon Tong, 83 Tat Chee Ave, Hong Kong, Peoples R China

年份：2019

卷号：112

起止页码：117

外文期刊名：INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS

收录：;EI(收录号：20191106617664);WOS:【SCI-EXPANDED(收录号:WOS:000469904700012)】；

基金：The work is supported by GRF grants from the Research Grants Council of Hong Kong SAR, China (Project No. CityU 11303015), a SRG grant from City University of Hong Kong (Project No. 7004670), the National Natural Science Foundation of China (Project No. 11102068) and the US National Science Foundation (Grant No. CMMI-1538228).

语种：英文

外文关键词：Uniformly-valid plate theory; Asymptotic method; Nonlinear elasticity

摘要：A uniformly-valid plate theory, independent of the magnitudes of applied loads, is derived based on the two-dimensional plate theory obtained from series expansions about the bottom surface of a plate. For five different magnitudes of surface loads, it is shown by using asymptotic expansions that this unified plate theory recovers five well-known plate models in the literature to leading-order. This demonstrates its uniform validity. More generally, it provides a uniformly-valid plate model provided that two asymptotic conditions are satisfied, which can be checked as a posteriori. The weak formulation of the uniformly-valid plate equations is furnished, which can be used for finite element implementation.