A model for the quasistatic growth of cracks with fractional dimension. (May 2017)

• Record Type: Journal Article
• Authors: Dal Maso, Gianni; Morandotti, Marco
• Is Part Of: Nonlinear analysis. Volume 154(2017)
• Page Start: 43
• Page End: 58
• Publication Date: 2017-05
• Subjects: primary 49J45 -- secondary 74R10 49J40 28A78; Fracture mechanics -- Quasistatic evolution -- Fractional dimension; 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.2016.03.007
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: We study a variational model for the quasistatic growth of cracks with fractional dimension in brittle materials. We give a minimal set of properties of the collection of admissible cracks which ensure the existence of a quasistatic evolution. Both the antiplane and the planar cases are treated.