The main purpose of this work is the computational simulation of the sensitivity coefficients of the homogenized tensor for a polymer filled with rubber particles with respect to the material parameters of the constituents. The Representative Volume Element (RVE) of this composite contains a single spherical particle, and the composite components are treated as homogeneous isotropic media, resu...

We present a topology optimization framework to design periodic composites comprised of piezoelectric constituents that exhibit large flexoelectric constants. The novelty the approach is it leverages representative volume element (RVE)-based computational homogenization enables analysis where characteristic dimensions microstructure are significantly smaller than those structure, and as such re...

A simple stochastic up-scaling strategy is presented for incorporating the effects of micro-scale variations of thermal conductivity in the thermal analysis of macro-scale systems. Incomplete characterization of the fine-scale variation necessitates posing the thermal conductivity as a stochastic multiscale random field. A data-driven approach coupled with a non-linear dimension reduction algor...

The objective of this paper is to predict the different damage mechanisms in multiple scales that can occur a cross ply composite material loaded uniaxial tension. simulated consists four epoxy-glass fibre layers [0/90]s and each layer transversely isotropic with viscous effects occurred from micromechanical homogenization using Mori-Tanaka formulation, extended for visco-elastic materials. For...

Multiscale optimization is an attractive research field recently. For the most of optimization tools, design parameters should be updated during a close loop. Therefore, a simple Python code is programmed to obtain effective properties of Representative Volume Element (RVE) under Periodic Boundary Conditions (PBCs). It can compute the mechanical properties of a composite with a periodic structu...

A general framework for the multi-scale topology optimisation (TO) of lattice structures (LSs) is presented in this work. The proposed method involves: Non-Uniform Rational Basis Spline (NURBS) hyper-surfaces to represent pseudo-density field describing LS representative volume element (RVE) topology, Solid Isotropic Material with Penalisation (SIMP) approach and strain energy-based homogenisat...

The FE 2 $$ {}^2 computational homogenization method is a predictive multi-scale without the need for constitutive assumptions and/or potential function postulates at macro engineering scale. Instead, effective micro-structural responses are extracted directly from representative volume element (RVE) underlying each point. However, still computationally too expensive most practical uses, since ...

A model to predict the effective stiffness of woven fabric composite materials is presented. Taking advantage of the inherent periodicity of woven fabric architecture, periodic microstructure theory is used at the mesoscale for the case of a two-phase heterogeneous material with multiple periodic inclusions. For plain weave fabrics, the representative volume element (RVE) is discretized into fi...

The elastoplastic deformation behaviors of hollow glass microspheres/iron syntactic foam under tension were modeled using a representative volume element (RVE) approach. The three-dimensional microstructures of the iron syntactic foam with 5 wt % glass microspheres were reconstructed using the random sequential adsorption algorithm. The constitutive behavior of the elastoplasticity in the iron ...

An important application of simulating wave propagation in bone is the early detection osteoporosis. During course this disease cortical reduced and replaced by marrow, weakening increasing likelihood fractures [1]. Commonly, modeling problem to only mechanical effects. Recent research includes electrical magnetic effects as well [2-4]. In our previous contributions we introduced a two-phase ma...