An enhanced finite element model considering multi strengthening and damage mechanisms in particle reinforced metal matrix composites

Statistical Analyses of the Strengths of Particulate Reinforced Metal Matrix Composites (PRMMCs) Subjected to Multiple Tensile and Shear Stresses

“…theorem Employing shakedown conditions outlined in (6) and (7) and discretizing the physical fields by FE formulations, the macroscopic strengths of RVEs composed of elastic perfectly plastic materials can be calculated from following optimization problem…”

“…Using these models it was carefully examined and clarified in a large body of works how multiple microstructural characteristics, e.g. particle shape [3,4], size [5,6], distribution [7,8] individually and jointly influence global material properties ranging from coefficient of thermal expansion [9] to the rate of crack propagation [10]. Among global material behaviors investigated, the load bearing capacity of PRMMCs occupies a central place.…”

“…Here, ∂Ω refers to the RVE surface, n the outer surface normal, and u * the fluctuation part of the displacement corresponds to ε * . Because the material studied in this work is non-periodic, some modifications were made on conditions given in (6) and 7: Instead of enforcing the node-wise anti-periodicity of the stresses and periodicity of the fluctuating strain, it is only required ε * and ρ to be zero. In other words, when an RVE is subjected to SUBC, ρ is only required to be divergence free inside Ω and have no contribution on the macroscopic stress.…”

Predictive Computational Model for Damage Behavior of Metal-Matrix Composites Emphasizing the Effect of Particle Size and Volume Fraction

“…The micro-scale level approach, which is also known as the microstructure-based numerical model, can be applied via several techniques: (i) employing image processing tools to model the real microstructure taken from SEM image [ 5 ], (ii) Assuming an idealized regular arrangement of the particles, and thus, the real microstructure of PRMMCs cannot be captured [ 6 ], (iii) Representative volume element (RVE) model was adopted by some authors for saving the computational time [ 7 , 8 , 9 ], and (iv) Random distribution-based modelling of reinforcing particulate, which reflects the real microstructure of the composite. However, except for the first technique, the others cannot well simulate the particle clustering and voids which may exist in PRMMCs [ 9 , 10 ].…”

“…Within the conventional theory of mechanism-based strain gradient plasticity, the particle size effects in composites have been explored considering the particle/matrix interface decohesion [ 21 ]. A FE model including the effects of load transfer, grain refinement, thermal residual stress/strain, plastic strain gradient, and matrix damage was developed to assess the tensile loading behavior of the 2009Al/15%SiC composite [ 10 ]. Employing the Taylor-based nonlocal theory of plasticity besides the cohesive zone model for interfacial debonding, the particle size-dependent behavior of PRMMCs is investigated [ 22 ].…”