3-Dimensional Bond-Based Peridynamic Representative Volume Element Homogenization

The Bond-based Peridynamic System with Dirichlet-type Volume Constraint

In this paper, the bond-based peridynamic system is analyzed as a nonlocal boundary value problem with volume constraint. The study extends earlier works in the literature on nonlocal diffusion and nonlocal peridynamic models to include non-positive definite kernels. We prove the well-posedness of both linear and nonlinear variational problems with volume constraints. The analysis is based on s...

Finite element analysis of 2-D representative volume element

Effect of Carbon Nanotube Geometries on Mechanical Properties of Nanocomposite Via Nanoscale Representative Volume Element

Predicting the effective elastic properties of carbon nanotube-reinforced nanocomposites is of great interest to many structural designers and engineers for improving material and configuration design in recent years. In this paper, a finite element model of a CNT composite has been developed using the Representative volume element (RVE) to evaluate the effective material properties of nanocomp...

In Vivo 3-dimensional Wrist Kinematics: Using Volume-based Registration

INTRODUCTION: Registration is a fundamental task in image processing used to match two or more pictures taken, for example, at different times, from different sensors or from different viewpoints. Such procedures are frequently needed in medical applications not only within clinical diagnostic settings, but prominently so in the area of planning and evaluation of surgical and radiotherapeutical...

Representative Element Modeling of Fracture Systems Based on Stochastic Analysis

An i m p o r t a n t t a s k a s s o c i a t e d w i t h r e s e r v o i r s imu la t ion i s t h e deve lopmen t o f a t e c h n i q u e t o model a l a r g e number o f f r a c t u r e s w i t h a s i n g l e descr ip t ion . R e p r e s e n t a t i v e e l e m e n t s m u s t b e d e v e l o p e d b e f o r e r e s e r v o i r s c a l e s i m u l a t i o n s c a n a d e q u a t e l y a d d r...