A hyperelastic fractional damage material model with memory. (1st October 2017)

• Record Type: Journal Article
• Authors: Sumelka, Wojciech; Voyiadjis, George Z.
• Is Part Of: International journal of solids and structures. Volume 124(2017)
• Page Start: 151
• Page End: 160
• Publication Date: 2017-10-01
• Subjects: Hyperelasticity -- Scalar damage -- Fractional calculus -- Materials -- Damage mechanics; 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.2017.06.024
• Languages: English
• ISSNs: 0020-7683

Abstract

Abstract: In this paper a scalar damage model for hyperelastic materials is considered. The novelty of the proposed approach lies in the evolution law for the damage variable that is formulated with the application of fractional calculus. In this way damage evolution includes the memory, or in other words the current intensity of damage evolution, which is based on information from the past - whose length is included in the fractional operator. Based on illustrative examples, the flexibility of the model to mimic experimentally observed material behaviour is presented.