In this study, an artificial neural network is designed and trained to predict the elastic properties of short fiber reinforced plastics. The results finite element simulations three-dimensional representative volume elements are used as a data basis for network. fraction, length, matrix-phase properties, orientation varied so that can be within very wide range parameters. A comparison predicti...

Abstract The present work discusses the impact of back coupling fiber orientation distribution on base flow and itself during mold filling simulations. Flows through a channel over backward-facing step are investigated. Different closure approximations considered for modeling flow-induced evolution anisotropy. results corresponding to decoupled approach, in which effect fibers local fluid prope...

In recent studies, the exact solutions of the Eshelby tensors for a spherical inclusion in a finite, spherical domain have been obtained for both the Dirichletand Neumann boundary value problems, and they have been further applied to the homogenization of composite materials [15], [16]. The present work is an extension to a more general boundary condition, which allows for the continuity of bot...

The concept of a stress tensor [for instance, the Cauchy stress σ , Cauchy (1789-1857); the first Piola-Kirchhoff stress P, Piola (1794-1850), and Kirchhoff (1824-1889); and the second Piola-Kirchhoff stress, S] plays a central role in Newtonian continuum mechanics, through a physical approach based on the conservation laws for linear and angular momenta. The pioneering work of Noether (1882-19...

Eshelby's theory is the foundation of composite mechanics, allowing calculation of the effective elastic moduli of composites from a knowledge of their microstructure. However, it ignores interfacial stress and only applies to very dilute composites-i.e. where any inclusions are widely spaced apart. Here, within the framework of the Mori-Tanaka multiphase approximation scheme, we extend Eshelby...

We have used the Mori–Tanaka method to study the effect of nonlinear interface debonding on the constitutive behavior of composite material with high particle volume fraction. The interface debonding is characterized by a nonlinear cohesive law determined from the fracture test of the high explosive PBX 9501. Using the example of the composite material with spherical particles subject to hydros...

In this paper we provide an Ito-Tanaka-Wentzell trick in a non semimartingale context. We apply result to the study of fractional SDE with irregular drift coefficient.

Aiming at the large scale numerical simulation of particle reinforced materials, the concept of local Eshelby matrix has been introduced into the computational model of the eigenstrain boundary integral equation (BIE) to solve the problem of interactions among particles. The local Eshelby matrix can be considered as an extension of the concepts of Eshelby tensor and the equivalent inclusion in ...