Accurate micromechanical modeling of particle and fibrous composite samples with large number of defects (inclusions, voids, cracks, etc.) using regular finite elements is expensive because of the mesh-refinement used around each defect. Based on Lekhnitskii formulation, we develop new type of elements (named "Computational Piezo-Grains" (CPGs)) with two important features: (1) each element can have an arbitrarily polygonal shape to mimic the shape of grains in the microscale, (2) each element may contain a void or inclusion embedded in its domain. The materials of the matrix and inclusions could be elastic, piezoelectric, or piezomagnetic, allowing for modeling various composite types.
- Finite elements