|
| << vorige | volgende >> |
Tijdschrift beschrijving
Alle jaargangen van het bijbehorende tijdschrift
Alle afleveringen van het bijbehorende jaargang
Alle artikelen van de bijbehorende aflevering
Details van artikel 11 van 17 gevonden artikelen
| Titel: |
On the Energy Release Rate in Finite-Strain Elasticity |
| Auteur: |
Knees, Dorothee Mielke, Alexander |
| Verschenen in: |
Mechanics of advanced materials & structures |
| Paginering: | Jaargang 15 (2008) nr. 6-7 pagina's 421-427 |
| Jaar: |
2008-08 |
| Inhoud: |
Griffith's fracture criterion describes in a quasistatic setting whether or not a pre-existing crack in an elastic body is stationary for given external forces. This fracture criterion can be reformulated in terms of the the energy release rate (ERR), which is the derivative of the deformation energy of the body with respect to a virtual crack extension. In this note we consider geometrically nonlinear elastic models with polyconvex energy densities and provide a mathematical framework which guarantees that the ERR is well defined. Moreover, without making any assumptions on the asymptotic structure of the elastic fields near the crack tip, we derive rigorously two formulas for the ERR, namely a generalized Griffith formula and the J-integral. For simplicity we consider here a straight crack in a two dimensional domain. The presented techniques are also applicable to smooth interface cracks, for which we give an example in the last section. |
| Uitgever: |
Taylor & Francis |
| Bronbestand: |
Elektronische Wetenschappelijke Tijdschriften |
Details van artikel 11 van 17 gevonden artikelen
| << vorige | volgende >> |