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

PDF
Restringido a Repository staff only hasta 31 December 2020. 252kB |

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

## 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 |

References: | Adda-Bedia, M., Arias, R., Ben Amar, M., Lund, F., 1999. Generalized GriRth criterion for dynamic fracture and the stability of crack motion at high velocities.Phys.Rev.E 60 (2), 2366–2376. Cotterell, B., Rice, J.R., 1980.Slightly curved or kinked cracks.Int.J.Fract.16, 155–169. Eshelby, J.D., 1970. Energy relations and the energy-momentum tensor in continuum mechanics. In: Inelastic Behavior of Solids, ed.M. F.Kanninen, McGraw-Hill, New York, pp.77–115. Freund, L.B., 1990. Dynamic Fracture Mechanics. Cambridge University Press, Cambridge. GriRth, A.A., 1920.The phenomenon of rupture and Kow in solids.Philos.Trans.Roy.Soc.London A 221, 163–198. Gurtin, M.E., Podio-Guidugli, P., 1998. Con7gurational forces and a constitutive theory for crack propagation that allows for kinking and curving.J.Mech.Phys.Solids 46 (8), 1343–1378. Hodgdon, J.A., Sethna, J.P., 1993. Derivation of a general three-dimensional crack-propagation law. Phys. Rev.B 47 (9), 4831–4840. Lanczos, C., 1949.The Variational Principles of Mechanics. University of Toronto Press, Toronto. Mechanics.University of Toronto Press, Toronto. Maugin, G., 1993.Material inhomogeneities in elasticity. Applied Mathematics and Mathematical Computation, Vol. 3. Chapman & Hall, London. elasticity. Morrisey, J.W., Rice, J.R., 1998.Crack front waves. J. Mech.Phys. Solids 46, 467-487. Movchan, A.B., Willis, J.R., 2002. Theory of crack front waves. In: Abrahams, I.D., Martin, P.A., Simons, M.J.(Eds), DiHraction and Scattering in Fluid Mechanics and Elasticity, pp.235-250. Kluwer Academic Publishers, Dordrecht. Oleaga, G.E., 2001.Remarks on a basic law for dynamic crack propagation.J.Mech.Phys.Solids 49/10, 2273–2306. Sih, G.C., 1973.Introductory chapter: a special theory of crack propagation.In: Mechanics of Fracture, Vol.1. NoordhoH International Publishing, Leiden. Stumpf, H., Le, K.C., 1990. Variational principles of nonlinear fracture mechanics. Acta Mech. 83, 25–37. Vujanovic, B.D., Jones, S.E., 1989. Variational methods in nonconservative phenomena. Mathematics in Science and Engineering, Vol.182.Academic Press Inc, San Diego. |

Deposited On: | 27 Nov 2012 09:05 |

Last Modified: | 07 Feb 2014 09:44 |

Repository Staff Only: item control page