Continuum Dislocations and Active Single-slip Assumption in MicroMechanical analysis of Matrix Dominated Composite Unit cell

Abstract

The key purpose of this paper is to propose a mono-slip dependent continuum dislocation method to MDCS (matrix dominated composite structure) analysis. The methodology focused on the dissipation energy theories using CDM (continuum dislocations method) integrated with the kinematics of small strain. The mathematical modeling of CDM comprises active mono-slip system formulations, thermodynamic dislocation analysis (TDA), energy dissipation analysis on the free form, and the progressions of dislocations. Furthermore, the dissipation energy analysis due to dislocation progression could be formulated in zero and non-zero principle by using an energy minimization technique with variational calculus. The numerical analysis performed by Wolfram Mathematica©, presented in zero and non-zero energy dissipation forms. The outcomes indicate that the formulated approach could be well-qualified to find optimal analysis results for MDC (matrix dominated composite) materials for the mono-slip system. Generally, this approach confirms its ability to investigate MDCS by including inclusions inside the UC.