Homogenisation of high-contrast brittle materials
Caterina Ida Zeppieri, Angewandte Mathematik, WWU Münster. Einsteinstrasse 62, 48149 Münster, Germany, <sup>†</sup><b>This contribution is part of the Special Issue:</b> Variational Models in Elasticity, Guest Editors: Lucia De Luca; Marcello Ponsiglione, Link: <a href="https://www.aimspress.com/newsinfo/1369.html" target=_blank>https://www.aimspress.com/newsinfo/1369.html</a> · Mathematics in Engineering · 2020
This paper is an overview on some recent results concerning the variational analysis of static fracture in the so-called high-contrast brittle composite materials. The paper is divided into two main parts. The first part is devoted to establish a compactness result for a general class of free-discontinuity functionals with degenerate (or high-contrast) integrands. The second part is focussed on some specific examples which show that the degeneracy of the integrands may lead to non-standard limit effects, which are specific to this high-contrast setting.