2015-Sustainable Industrial Processing Summit
SIPS 2015 Volume 1: Aifantis Intl. Symp. / Multiscale Material Mechanics
| Editors: | Kongoli F, Bordas S, Estrin Y |
| Publisher: | Flogen Star OUTREACH |
| Publication Year: | 2015 |
| Pages: | 300 pages |
| ISBN: | 978-1-987820-24-9 |
| ISSN: | 2291-1227 (Metals and Materials Processing in a Clean Environment Series) |
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Numerical Simulation of the Size Effects in Nanostructured Li-Ion Batteries Using the Isogeometric Analysis
Katerina Aifantis1; Sundararajan Natarajan2;1UNIVERSITY OF ARIZONA, Tucson, United States; 2INDIAN INSTITUTE OF TECHNOLOGY MADRAS, Chennai, India;
Type of Paper: Invited
Id Paper: 460
Topic: 1
Abstract:
Materials such as Si, Al and Sn are considered as active sites during the formation of Li-alloys. During the Li insertion, the volume of the active sites expands over 100% at maximum capacity. As a result, large internal stresses are produced. The effect of stresses is widely acknowledged. However, as the size of these particles is small, the gradient effects cannot be ignored. In this paper, we present for the first time the size effects within a purely gradient elasticity framework for a composite model with an inner Sn particle and a C matrix. Each of these constituents has different internal lengths. As the constitutive equation involves higher order gradient terms, the conventional finite element method is not suitable. We employ B-spline functions with the framework of the iso-geometric analysis spatial discretization. The effect of internal characteristic length on the radial and hydrostatic stresses is studied. It is observed that the internal length has significant impact on the stresses amplitudes.