Please use this identifier to cite or link to this item:
http://bura.brunel.ac.uk/handle/2438/14418
Title: | Thermodynamic derivation and damage evolution for a fractional cohesive-zone model |
Authors: | Alfano, G Musto, M |
Issue Date: | 31-Mar-2017 |
Publisher: | American Society of Civil Engineers |
Citation: | Giulio, A. and Marco, M. (2017) 'Thermodynamic Derivation and Damage Evolution for a Fractional Cohesive Zone Model', Journal of Engineering Mechanics, 143(7), D4017001, pp. 1-10. doi: 10.1061/(ASCE)EM.1943-7889.0001203. |
Abstract: | A thermodynamic derivation is presented for a fractional rate-dependent cohesive zone model recently proposed by the authors to combine damage and linear viscoelasticity. In this setting, the assumptions behind the initially proposed damage evolution law are revisited. In particular, in the original model damage evolution is driven only by the energy stored in the elastic arm of a fractional standard linear solid model and the relationship between total fracture energy and crack speed is monotonically increasing, with a sigmoidal shape. Here, physical arguments are discussed, which could support the hypothesis of allowing damage to be driven also by the remaining parts of the free energy. The implications of these different assumptions are then studied, analytically and numerically, and in both cases the assumption that damage is also driven by the remaining parts of the energy results in a nonmonotonic relationship between total fracture energy and crack speed, with a bell rather than sigmoidal shape. The analysis presented provides a novel physical interpretation of the significant differences found in the rate dependence of fracture in elastomers and glassy polymers. |
URI: | https://bura.brunel.ac.uk/handle/2438/14418 |
DOI: | https://doi.org/10.1061/(ASCE)EM.1943-7889.0001203 |
ISSN: | 0733-9399 |
Appears in Collections: | Dept of Mechanical and Aerospace Engineering Research Papers |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
FullText.pdf | 467.49 kB | Adobe PDF | View/Open |
This item is licensed under a Creative Commons License