Localization study of a regularized variational damage model. (September 2015)

• Record Type: Journal Article
• Authors: Jirásek, Milan; Zeman, Jan
• Is Part Of: International journal of solids and structures. Volume 69/70(2015)
• Page Start: 131
• Page End: 151
• Publication Date: 2015-09
• Subjects: Damage -- Failure -- Dissipation -- Non-locality -- Variational approach -- Bifurcation; Mechanics, Applied -- Periodicals; Structural analysis (Engineering) -- Periodicals; Elastic solids -- Periodicals; Mécanique appliquée -- Périodiques; Constructions, Théorie des -- Périodiques; Solides élastiques -- Périodiques; Elastic solids; Mechanics, Applied; Structural analysis (Engineering); Periodicals; 624.18
• DOI: 10.1016/j.ijsolstr.2015.06.001
• Languages: English
• ISSNs: 0020-7683

Abstract

Abstract: The paper presents a detailed analysis and extended formulation of a rate-independent regularized damage model proposed by Mielke and Roubíček (2006). Localization properties are studied in the context of a simple one-dimensional problem, but the results reveal the fundamental features of the basic model and of its modified versions. The initial bifurcation from a uniform solution is described analytically while the complete failure process is studied numerically. Modifications of the regularizing term and of the dissipation distance are introduced and their effect on the global response is investigated. It is shown that, with a proper combination of model parameters, a realistic shape of the load–displacement diagram can be achieved and pathological effects such as extremely brittle response or expansion of the damage zone accompanied by stress locking can be eliminated.