Micromechanical Analysis in Applications of Active Mono-Slip and Continuum Dislocations in the MDCM

Abstract

The key purpose of this paper is to propose a mono-slip-dependent continuum dislocation method for matrix-dominated composite structure (MDCS) analysis. The methodology focuses on dissipation energy theories utilizing a continuum dislocation method (CDM) integrated with small-strain kinematics. The mathematical modeling of the CDM comprises active mono-slip system formulations, thermodynamic dislocation analysis (TDA), free energy dissipation analysis, and the progression of dislocations. Furthermore, zero and non-zero energy dissipation due to dislocation progression is formulated by using an energy minimization technique with variational calculus. The numerical analysis, performed with Wolfram Mathematica©, is presented using zero and non-zero energy dissipation energy formulations. The outcomes indicate that the formulated approach can be effective for obtaining optimal analysis results for matrix-dominated composite (MDC) materials with a mono-slip system. In sum, this study confirms the feasibility of using the proposed approach to investigate MDCS with inclusions.

Modal analysis of a lattice type metamaterial by modeling cell structures using Euler–Bernoulli beams

“…3,4 Kasa presented an improved higher order layer-wise theory for the investigation of flawlessly wedged sandwich-composite beams with general laminate configurations and proposed a simple approach based on continuum dislocation theory to analyze the plastic phenomenon of matrix-dominated composite exposed to shear. 5,6 Li et al 7 and Omachi et al 8 showed failure mechanisms of sandwich lattice constructions. Simsek et al used finite-element (FE) modeling and modal testing to investigate the dynamic performances of gyroid structures made of HS188 and manufactured with direct metal laser melting.…”