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On the dynamics of cracks in three dimensions

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Oleaga Apadula, Gerardo Enrique (2003) On the dynamics of cracks in three dimensions. Journal of the Mechanics and Physics of Solids, 51 (1). pp. 169-185. ISSN 0022-5096

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Official URL: http://www.sciencedirect.com/science/article/pii/S002250960200056X


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Abstract

We introduce a three-dimensional dynamic crack propagation law, which is derived from Hamilton's principle. The result is an extension of a previous one obtained, corresponding to the two-dimensional case. As a matter of fact, in an orthogonal plane to the crack front, the geometric condition to be satisfied over the path is the same as in two dimensions. The third mode enters only through the energy release rate. The fact that the physics of the problem is locally two dimensional is a consequence of the virtual motions allowed in the set of admissible crack configurations.


Item Type:Article
Uncontrolled Keywords:Dynamic fracture; Variational principles; Crack propagation law; Propagation; Fracture; Law
Subjects:Sciences > Mathematics > Functions
ID Code:17213
Deposited On:27 Nov 2012 09:05
Last Modified:12 Dec 2018 15:07

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