Papers »

Comparison of micromorphic and micropolar elasticity using large deformation finite element analysis

In the micromorphic continuum theory of Eringen, it is assumed that the microstructure of materials can be considered as a micro-continuum domain (“micro-element” in the words of Eringen), and a micro-deformation tensor is defined to track the micro-continuum domain deformation. For the purpose of having more insight into the micromorphic continuum, a three dimensional finite element code for finite strain linear elastic isotropic materials has been developed. In the talk, a brief overview on the Total Lagrangian three dimensional finite element formulation will
be presented, then several examples will be discussed to illustrate the effects of the additional degrees of freedom of the micromorphic in comparison with micropolar continuum. Finally, the influences of boundary conditions on the additional micromorphic degrees of freedom and elastic parameters of the micromorphic continuum will be investigated. Extensions to modeling geomaterials will be briefly discussed.

Author(s):

Farhad Shahabi    
University of Colorado Boulder
United States

Richard Regueiro    
University of Colorado Boulder
United States