A generalized constitutive elasticity law for GLPD micromorphic materials, with application to the problem of a spherical shell subjected to axisymmetric loading conditions  

作　　者：Koffi Enakoutsa 

机构地区：[1]Center for Advanced Vehicular Systems, Mississippi State University

出　　处：《Theoretical & Applied Mechanics Letters》2014年第2期74-82,共9页力学快报（英文版）

摘　　要：In this work we propose to replace the GLPD hypo-elasticity law by a more rigorous generalized Hooke＇s law based on classical material symmetry characterization assumptions. This law introduces in addition to the two well- known Lame＇s moduli, five constitutive constants. An analytical solution is de- rived for the problem of a spherical shell subjected to axisymmetric loading con- ditions to illustrate the potential of the proposed generalized Hooke＇s law.In this work we propose to replace the GLPD hypo-elasticity law by a more rigorous generalized Hooke＇s law based on classical material symmetry characterization assumptions. This law introduces in addition to the two well- known Lame＇s moduli, five constitutive constants. An analytical solution is de- rived for the problem of a spherical shell subjected to axisymmetric loading con- ditions to illustrate the potential of the proposed generalized Hooke＇s law.

关 键 词：GLPD model micromorphic generalized elasticity analytical solution 

分 类 号：O343[理学—固体力学]