Damage as Gamma-limit of microfractures in anti-plane linearized elasticity

Scardia, L. (2008) Damage as Gamma-limit of microfractures in anti-plane linearized elasticity. Mathematical Models and Methods in Applied Sciences, 18(10), pp. 1703-1740. (doi: 10.1142/S0218202508003170)

Abstract

A homogenization result is given for a material having brittle inclusions arranged in a periodic structure. <br/> According to the relation between the softness parameter and the size of the microstructure, three different limit models are deduced via Gamma-convergence. <br/> In particular, damage is obtained as limit of periodically distributed microfractures.

• Item Type: Articles
• Additional Information: Electronic version of an article published as Mathematical Models and Methods in Applied Sciences 18(10):1703-1740 © World Scientific Publishing Company http://www.worldscientific.com/worldscinet/m3as
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Scardia, Dr Lucia
• Authors: Scardia, L.
• College/School: College of Science and Engineering > School of Mathematics and Statistics > Mathematics
• Journal Name: Mathematical Models and Methods in Applied Sciences
• Publisher: World Scientific Publishing
• ISSN: 0218-2025
• Copyright Holders: Copyright © 2008 World Scientific Publishing
• First Published: First published in Mathematical Models and Methods in Applied Sciences 18(10):1703-1740
• Publisher Policy: Reproduced in accordance with the copyright policy of the publisher