Analytical solution of the uniaxial extension problem for the relaxed micromorphic continuum and other generalized continua (including full derivations)
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Date
2021-11-17
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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.
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Keywords
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