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EnglishIn this paper a general expression of the potential energy release rate G for a three-dimensional fracture mechanics problem is supplied. Under the hypothesis of a quasi-static growth phenomenon, the distribution of the vector a, i.e. the velocity field of the fracture propagation, is assumed unknown along the crack front. This assumption leads to a general formula of G for a three-dimensional hyperelastic body containing a plane crack. Moreover, imposing a stationary condition of G with respect to a, the analytical problem of the crack front shape evaluation is formulated. A unique solution exists for the problem, which is described by a system of two non-linear equations. Practical applications of the theory can be obtained by the use of finite element analysis results, together with a numerical solution of the two equations in the unknown components of the fracture propagation velocity.
| Titolo: | A General Formulation of the Potential Energy Release Rate for a Three Dimesional Hyperelastic Body containing a Plane Crack |
| Autori interni: | |
| Anno del prodotto: | 2005 |
| Abstract: | In this paper a general expression of the potential energy release rate G for a three-dimensional fracture mechanics problem is supplied. Under the hypothesis of a quasi-static growth phenomenon, the distribution of the vector a, i.e. the velocity field of the fracture propagation, is assumed unknown along the crack front. This assumption leads to a general formula of G for a three-dimensional hyperelastic body containing a plane crack. Moreover, imposing a stationary condition of G with respect to a, the analytical problem of the crack front shape evaluation is formulated. A unique solution exists for the problem, which is described by a system of two non-linear equations. Practical applications of the theory can be obtained by the use of finite element analysis results, together with a numerical solution of the two equations in the unknown components of the fracture propagation velocity. |
| Handle: | http://hdl.handle.net/11568/243396 |
| ISBN: | 9788890318818 |
| Appare nelle tipologie: | 4.1 Contributo in Atti di convegno |
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