Carbon nanotubes (CNTs) possess extremely high stiffness, strength and resilience, and may provide ultimate reinforcing materials for the development of nano composites. In this paper, the effective material properties of CNT-based composites are evaluated using a square representative volume element (RVE) based on the continuum mechanics and with the finite element method (FEM). Formulas to ex...

Abstract. The present work presents statistical results of numerical simulations to investigate the effect different void percentages on composite materials’ coefficient thermal expansion (CTE). A random distribution voids is simulated over Representative Volume Element (RVE) matrix. use a high-order beam model within framework Carrera Unified Formulation (CUF) leads Component Wise (CW) descrip...

As a naturally polycrystalline material, Yellow River ice exhibits complex mechanical properties that are closely related to its internal microstructure. To study the micromechanical of this ice, geometrically representative volume element (RVE) and method for determining it proposed. By observing quantifying trends in microstructural characteristics granular micro-numerical model is establishe...

A computationally efficient method for generating virtual periodic representative volume element (RVE), capable of handling arbitrary inclusion shapes, is developed. universal collision/overlap detection and repair proposed, where each shape represented as a union n-Spheres (UnS). constrained optimization problem formulated solved to remove overlaps; closed-form solution derived calculating the...

Effective elastic properties of a defected solid with distributed cohesive micro-cracks are estimated based on homogenization of the Dugdale–Bilby–Cottrell–Swinden (Dugdale–BCS) type micro-cracks in a two dimensional elastic representative volume element (RVE). Since the cohesive micro-crack model mimics various realistic bond forces at micro-scale, a statistical average of cohesive defects can...

Abstract In this paper, a three-dimensional thermo-viscoelastic constitutive equation is used to simulate and analyze the hot stamping process of thermoplastic resin matrix composites. Dynamic mechanical analyzer (DMA) was measure relaxation behavior at different temperatures. Then, times weight factors were obtained by regression analysis data using genetic intelligent algorithm. According cla...

The aim of this research is to assess the effects of interphase property and matrix property on the tensile elastic modulus (TEM) of the carbon nanotube (CNT) using a 3-D nanoscale representative volume element (RVE) based on continuum mechanics and using the finite element method (FEM). Formulas to extract the effective material constants from solutions for the RVE is derived based on the elas...

Abstract Material modeling using modern numerical methods accelerates the design process and reduces costs of developing new products. However, for multiscale heterogeneous materials, well-established homogenization techniques remain computationally expensive high accuracy levels. In this contribution, a machine learning approach, convolutional neural networks (CNNs), is proposed as efficient s...

Scale separation is often assumed in most homogenization-based topology optimization (TO) frameworks for design of material microstructures. This work goes beyond the mainstream TO contributions by abandoning scale hypothesis. First, it puts to evidence limits approach when size Representative Volume Element (RVE) not negligible with respect structure. Then, a re-localized scheme bridging RVE a...