Numerical experiments for the appropriate representative volume element size selection on thin texturized metals under mechanical loads

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...

the algorithm for solving the inverse numerical range problem

برد عددی ماتریس مربعی a را با w(a) نشان داده و به این صورت تعریف می کنیم w(a)={x8ax:x ?s1} ، که در آن s1 گوی واحد است. در سال 2009، راسل کاردن مساله برد عددی معکوس را به این صورت مطرح کرده است : برای نقطه z?w(a)، بردار x?s1 را به گونه ای می یابیم که z=x*ax، در این پایان نامه ، الگوریتمی برای حل مساله برد عددی معکوس ارانه می دهیم.

Influence of representative volume element size on predicted elastic properties of polymer materials

Molecular dynamics (MD) simulations and micromechanical modeling are used to predict the bulk-level Young’s modulus of polycarbonate and polyimide polymer systems as a function of representative volume element (RVE) size and force field type. The bulk-level moduli are determined using the predicted moduli of individual finite-sized RVEs (microstates) using a simple averaging scheme and an energ...

Development of a Representative Volume Element of Lithium-ion Batteries for Thermo-mechanical Integrity

The importance of Lithium-ion batteries continues to grow with the introduction of more electronic devices, electric cars, and energy storage. Yet the optimization approach taken by the manufacturers and system designers is one of test and build, an approach that nearly every other industry has long abandoned. A computational model is required to reduce the expensive build-test cycle and allow ...

Finite element analysis of 2-D representative volume element