Fracture as a material sink

Abstract Cracks are created by massive breakage of molecular or atomic bonds. The latter, in its turn, leads to the highly localized loss of material, which is the reason why even closed cracks are visible by a naked eye. Thus, fracture can be interpreted as the local material sink. Mass conservatio...

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Main Author: K. Y. Volokh
Format: Article
Language:English
Published: SpringerOpen 2017-05-01
Series:Materials Theory
Online Access:http://link.springer.com/article/10.1186/s41313-017-0002-4
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author K. Y. Volokh
author_facet K. Y. Volokh
author_sort K. Y. Volokh
collection DOAJ
description Abstract Cracks are created by massive breakage of molecular or atomic bonds. The latter, in its turn, leads to the highly localized loss of material, which is the reason why even closed cracks are visible by a naked eye. Thus, fracture can be interpreted as the local material sink. Mass conservation is violated locally in the area of material failure. We consider a theoretical formulation of the coupled mass and momenta balance equations for a description of fracture. Our focus is on brittle fracture and we propose a finite strain hyperelastic thermodynamic framework for the coupled mass-flow-elastic boundary value problem. The attractiveness of the proposed framework as compared to the traditional continuum damage theories is that no internal parameters (like damage variables, phase fields, etc.) are used while the regularization of the failure localization is provided by the physically sound law of mass balance.
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spelling doaj.art-a0b1ff0348464407839f570c5d12e7f92022-12-22T00:38:36ZengSpringerOpenMaterials Theory2509-80122017-05-01111910.1186/s41313-017-0002-4Fracture as a material sinkK. Y. Volokh0Faculty of Civil and Environmental Engineering, Technion - I.I.T.Abstract Cracks are created by massive breakage of molecular or atomic bonds. The latter, in its turn, leads to the highly localized loss of material, which is the reason why even closed cracks are visible by a naked eye. Thus, fracture can be interpreted as the local material sink. Mass conservation is violated locally in the area of material failure. We consider a theoretical formulation of the coupled mass and momenta balance equations for a description of fracture. Our focus is on brittle fracture and we propose a finite strain hyperelastic thermodynamic framework for the coupled mass-flow-elastic boundary value problem. The attractiveness of the proposed framework as compared to the traditional continuum damage theories is that no internal parameters (like damage variables, phase fields, etc.) are used while the regularization of the failure localization is provided by the physically sound law of mass balance.http://link.springer.com/article/10.1186/s41313-017-0002-4
spellingShingle K. Y. Volokh
Fracture as a material sink
Materials Theory
title Fracture as a material sink
title_full Fracture as a material sink
title_fullStr Fracture as a material sink
title_full_unstemmed Fracture as a material sink
title_short Fracture as a material sink
title_sort fracture as a material sink
url http://link.springer.com/article/10.1186/s41313-017-0002-4
work_keys_str_mv AT kyvolokh fractureasamaterialsink