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Finite Strain Micromorphic Elasticity, Elastoplasticity, And Dynamics For Multiscale Finite Element Analysis, Farhad Shahabi
Civil Engineering Graduate Theses & Dissertations
This study stands as an attempt to consider the micro-structure of materials in a continuum framework by the aid of micromorphic continuum theory in the sense of Eringen. Since classical continuum mechanics do not account for the micro-structural characteristics of materials, they cannot be used to address the macroscopic mechanical response of all micro-structured materials. In the “representative volume element (RVE)” based methods, classical continuum mechanics may be applied to analyze mechanical deformation and stresses of materials at the relevant micro-structural length-scale (such as grains of a polycrystalline metal, or sand, or metal matrix composite, etc), but when applying standard ...