Geometrically Nonlinear Cosserat Elasticity with Chiral Effects Based upon Granular Micromechanics Book Chapter

Giorgio, I, Misra, A, Placidi, L. (2023). Geometrically Nonlinear Cosserat Elasticity with Chiral Effects Based upon Granular Micromechanics . 170 273-292. 10.1007/978-3-031-26186-2_17

cited authors

  • Giorgio, I; Misra, A; Placidi, L

authors

abstract

  • In this short contribution, we exemplify how the Cosserat kinematics, introduced into classical continuum mechanics at the turn of the XXth century, arises when we consider the granular microstructure inherent in all matter. The discussed discrete-continuum identification, that follows Piola’s ansatz, is utilized to develop kinematic measures in the framework of finite deformations. These kinematic measures are then utilized to express the internal deformation (strain) energy in terms of both grain-scale and continuum kinematic measures. As a result, we have identified the macroscopic elastic constants of geometrically nonlinear Cosserat continuum model in terms of the grain scale parameters.

publication date

  • January 1, 2023

Digital Object Identifier (DOI)

start page

  • 273

end page

  • 292

volume

  • 170