On the pure jump nature of crack growth for a class of pressure-sensitive elasto-plastic materials. (January 2022)

• Record Type: Journal Article
• Authors: Dal Maso, Gianni; Toader, Rodica
• Is Part Of: Nonlinear analysis. Volume 214(2022)
• Publication Date: 2022-01
• Subjects: 49K10 -- 35J05 -- 35J25 -- 74A45 -- 74C05; Fracture mechanics -- Plasticity -- Quasistatic evolution -- Rate-independent problems; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2021.112539
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: In the framework of a model for the quasistatic crack growth in pressure-sensitive elasto-plastic materials in the planar case, we study the properties of the length ℓ ( t ) of the crack as a function of time. We prove that, under suitable technical assumptions on the crack path, the monotone function ℓ is a pure jump function.