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

Authors :: Rizzi, Gianluca
Hassam Khan, Ionel-Dumitrel Ghiba
Madeo, Angela
Neff, Patrizio
Publication Year :: 2021
Abstract: 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.<br />Archive of applied mechanics; Vol. 93. 2023, Issue1, pp 5-21

Subjects :: Micromorphic continuum
Micro-void model
Uniaxial extension stiffness
Micropolar
Mathematics::General Topology
Relaxed micromorphic model
Micro-stretch model
Generalized continua
Gradient elasticity
Micro-strain model
Couple stress model
Characteristic length
Bounded stiffness
Size effect
Uniaxial extension
Cosserat continuum

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