I was going though papers related to micromechanical modeling of composites using unit cell approach. Usually in this procedure, a unit cell is isolated from the material and to ensure the compatabilty of the unit cell boundary, periodic boundary conditions are applied.
To ensure the compatabilty of the boundary and to apply loads, can we use submodeling techniques available in ABAQUS.
I have modeled a two phase unit cell with one inclusion in a soft matrix. I have applied appropriate periodic boundary conditions. Load is applied a displacement. I have solved the problem using FEA through ABAQUS. Now I want macroscopic stress-strain response of the material.
What I have done is, taken the Reaction force and divided it by the area and similary displacement and didvided by length, will this give me the stress-strain response or do I have to use some homogenisation methods.
I am trying to simulate mechanical behaviour of a concrete unit cell for uniaxial compression laoding. I have apllied periodic bounadary conditions on both lateral edges using linear equation option available in ABAQUS where as on top and bottom edges load is apllied. Deformed structure shows there is no lateral deformation and unit cell behaves as if it is confined laterally on both sides. I am confused about my boundary conditions whether they are correct or not.
Equation used to aplly periodic bounadary condition are
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