A theory for three-dimensional response of micropolar plates  

作　　者：Dianwu HUANG Linghui HE 

机构地区：[1]College of Civil Engineering and Architectural,Jiaxing University,Jiaxing 314001,Zhejiang Province,China [2]Department of Modern Mechanics and State Key Laboratory of Fire Science,University of Science and Technology of China,Hefei 230026,China

出　　处：《Applied Mathematics and Mechanics(English Edition)》2024年第8期1403-1414,共12页应用数学和力学（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (No. 12072337)。

摘　　要：Through combined applications of the transfer-matrix method and asymptotic expansion technique,we formulate a theory to predict the three-dimensional response of micropolar plates.No ad hoc assumptions regarding through-thickness assumptions of the field variables are made,and the governing equations are two-dimensional,with the displacements and microrotations of the mid-plane as the unknowns.Once the deformation of the mid-plane is solved,a three-dimensional micropolar elastic field within the plate is generated,which is exact up to the second order except in the boundary region close to the plate edge.As an illustrative example,the bending of a clamped infinitely long plate caused by a uniformly distributed transverse force is analyzed and discussed in detail.

关 键 词：micropolar plate TRANSFER-MATRIX asymptotic expansion three-dimensional response 

分 类 号：O341[理学—固体力学]