Analytical solution of the uniaxial extension problem for the relaxed micromorphic continuum and other generalized continua (including full derivations)

被引：0
作者：
Gianluca Rizzi
Hassam Khan
Ionel-Dumitrel Ghiba
Angela Madeo
Patrizio Neff
机构：
[1] TU Dortmund,Faculty of Architecture and Civil Engineering
[2] Universität Duisburg-Essen,Fakultät für Mathematik
[3] Alexandru Ioan Cuza University of Iaşi,Department of Mathematics
[4] Octav Mayer Institute of Mathematics of the Romanian Academy,Head of Chair for Continuum Mechanics, Faculty of Architecture and Civil Engineering
[5] TU Dortmund,Head of Chair for Nonlinear Analysis and Modelling, Fakultät für Mathematik
[6] Universität Duisburg-Essen,undefined
来源：
Archive of Applied Mechanics | 2023年 / 93卷
关键词：
Generalized continua; Uniaxial extension; Uniaxial extension stiffness; Characteristic length; Size effect; Micromorphic continuum; Cosserat continuum; Couple stress model; Gradient elasticity; Micropolar; Relaxed micromorphic model; Micro-stretch model; Micro-strain model; Micro-void model; Bounded stiffness;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We derive analytical solutions for the uniaxial extension problem for the relaxed micromorphic continuum and other generalized continua. These solutions may help in the identification of material parameters of generalized continua which are able to disclose size effects.
引用
收藏
页码：5 / 21
页数：16
相关论文
共 76 条
[1]  
Barbagallo G(2017)Transparent anisotropy for the relaxed micromorphic model: macroscopic consistency conditions and long wave length asymptotics Int. J. Solids Struct. 120 7-30
[2]  
Madeo A(1983)Linear elastic materials with voids J. Elast. 13 125-147
[3]  
d’Agostino M(1997)Torsion and flexure of microstretch elastic circular cylinders Int. J. Eng. Sci. 35 573-583
[4]  
Abreu R(2018)Some novel numerical applications of Cosserat continua Int. J. Comput. Methods 15 1850054-7245
[5]  
Ghiba I(2006)Nonlinear microstrain theories Int. J. Solids Struct. 43 7224-1266
[6]  
Neff P(2017)A variant of the linear isotropic indeterminate couple-stress model with symmetric local force-stress, symmetric nonlocal force-stress, symmetric couple-stresses and orthogonal boundary conditions Math. Mech. Solids 22 1221-1072
[7]  
Cowin S(2015)Micromorphic homogenization of a porous medium: elastic behavior and quasibrittle damage Contin. Mech. Thermodyn. 27 1059-569
[8]  
Nunziato J(2009)A numerical study for linear isotropic Cosserat elasticity with conformally invariant curvature Z. Angew. Math. Mech. 89 552-666
[9]  
De Cicco S(2007)Mechanics of extended continua: modeling and simulation of elastic microstretch materials Comput. Mech. 40 651-44
[10]  
Nappa L(1964)Couple stresses in the theory of elasticity: I and II Proc. Kon. Ned. Akad. Wetensch. Ser. B 67 17-78
12345678