Crack phantoms: localized damage correlations and failure in network models of disordered materials. (26th August 2015)

• Record Type: Journal Article
• Authors: Zaiser, M; Lennartz-Sassinek, S; Moretti, P
• Is Part Of: Journal of statistical mechanics. (2015:Aug.)
• Publication Date: 2015-08-26
• Subjects: 9; 9/200 -- 9/220; Statistical mechanics -- Periodicals; Mechanics -- Statistical methods -- Periodicals; 530.1305
• DOI: 10.1088/1742-5468/2015/08/P08029
• Languages: English
• ISSNs: 1742-5468

Abstract

Abstract: We study the initiation of failure in network models of disordered materials such as random fuse and spring models, which serve as idealized representations of fracture processes in quasi-two-dimensional, disordered material systems. We consider two different geometries, namely rupture of thin sheets and delamination of thin films, and demonstrate that irrespective of geometry and implementation of the disorder (random failure thresholds versus dilution disorder) failure initiation is associated with the emergence of typical localized correlation structures in the damage patterns. These structures ('crack phantoms') exhibit well-defined characteristic lengths, which relate to the failure stress by scaling relations that are typical for critical crack nuclei in disorder-free materials. We discuss our findings in view of the fundamental nature of failure processes in materials with random microstructural heterogeneity.