ANALYTICAL AND NUMERICAL INVESTIGATIONS OF TWO SPECIAL CLASSES OF GENERALIZED CONTINUUM MEDIA  

作　　者：Zhaohui Zhang Zhanli Liu Yuan Gao Junfang Nie Zhuo Zhuang 

机构地区：[1]Department of Engineering Mechanics,School of Aerospace,Tsinghua University,Beijing 100084,China [2]Institute of Nuclear and New Energy Technology,Tsinghua University,Beijing 100084,China [3]Naval Academy of Armament,Beijing 100073,China

出　　处：《Acta Mechanica Solida Sinica》2011年第4期326-339,共14页固体力学学报（英文版）

基　　金：supported by the National Natural Science Foundation of China (No. 10772096)

摘　　要：In this paper,the micromorphic theory and the second gradient theory are proposedwhere the micromorphic model can be reduced to the second gradient model with the vanishing relative deformation between macrodeformation gradient and microdeformation.Analytical solutions for the simple shear problem in the case of a general small strain isotropic elasticity micromorphic model and the second gradient model are presented,respectively.Besides,uniaxial tension of a constrained layer with two different boundary conditions is also analytically solved.Finally,the micromorphic theory is implemented numerically within a two-dimensional plane strain finite element framework by developing two isoparametric elements.In this paper,the micromorphic theory and the second gradient theory are proposedwhere the micromorphic model can be reduced to the second gradient model with the vanishing relative deformation between macrodeformation gradient and microdeformation.Analytical solutions for the simple shear problem in the case of a general small strain isotropic elasticity micromorphic model and the second gradient model are presented,respectively.Besides,uniaxial tension of a constrained layer with two different boundary conditions is also analytically solved.Finally,the micromorphic theory is implemented numerically within a two-dimensional plane strain finite element framework by developing two isoparametric elements.

关 键 词：micromorphic second gradient boundary layer size effect finite element 

分 类 号：TU431[建筑科学—岩土工程] P435[建筑科学—土工工程]