Remarks on a basic law for dynamic crack propagation
| dc.contributor.author | Oleaga Apadula, Gerardo Enrique | |
| dc.date.accessioned | 2023-06-20T17:04:49Z | |
| dc.date.available | 2023-06-20T17:04:49Z | |
| dc.date.issued | 2001-10 | |
| dc.description.abstract | A basic law of motion for a dynamic crack propagating in a brittle material is derived in the case of two space dimensions. The only basic assumptions for this purpose are the energy conservation law and a variational inequality following the well known Hamilton's principle. Our study is developed within Griffith's framework, that is under the assumption that crack surface energy is proportional to crack length. It is shown that the speed and direction of the crack can be found without further assumptions. Moreover, the corresponding law is local, and if expressed in terms of the stress intensity factors yields the principle of local symmetry previously proposed for quasi-static evolution. | |
| dc.description.department | Depto. de Análisis Matemático y Matemática Aplicada | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/17265 | |
| dc.identifier.doi | 10.1016/S0022-5096(01)00048-5 | |
| dc.identifier.issn | 0022-5096 | |
| dc.identifier.officialurl | http://www.sciencedirect.com/science/article/pii/S0022509601000485 | |
| dc.identifier.relatedurl | http://www.sciencedirect.com/ | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/57737 | |
| dc.issue.number | 10 | |
| dc.journal.title | Journal of the Mechanics and Physics of Solids | |
| dc.language.iso | eng | |
| dc.page.final | 2306 | |
| dc.page.initial | 2273 | |
| dc.publisher | Elsevier | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 517.986 | |
| dc.subject.keyword | Dynamic fracture | |
| dc.subject.keyword | Variational principles | |
| dc.subject.keyword | Configurational forces | |
| dc.subject.keyword | Dynamic crack propagation | |
| dc.subject.keyword | Griffith's crack | |
| dc.subject.keyword | Brittle material | |
| dc.subject.keyword | Energy conservation | |
| dc.subject.keyword | Variational inequality | |
| dc.subject.keyword | Hamilton's principle | |
| dc.subject.keyword | Crack surface | |
| dc.subject.keyword | Stress intensity factors | |
| dc.subject.keyword | Principle of local symmetry | |
| dc.subject.ucm | Funciones (Matemáticas) | |
| dc.subject.unesco | 1202 Análisis y Análisis Funcional | |
| dc.title | Remarks on a basic law for dynamic crack propagation | |
| dc.type | journal article | |
| dc.volume.number | 49 | |
| dcterms.references | Adda-Bedia, M., Arias, R., Ben Amar, M., Lund, F., 1999. Generalized Gri3th criterion for dynamic fracture and the stability of crack motion at high velocities.Phys.Rev.E 60 (2), 2366–2376. Cherepanov, G.P., 1967.Crack Propagation in Continuous Media, P.M.M.J.Appl.Math.Mech. 31 (3), 503-512. Cotterell, B., Rice, J.R., 1980.Slightly curved or kinked cracks.Int.J.Fracture 16, p 155. Eshelby, J.D., 1956.The Continuum Theory of Lattice Defects.Solid State Physics, Vol.3, Academic Press, New York. Eshelby, J.D., 1970. Energy relations and the energy-momentum tensor in continuum mechanics. Inelastic Behaviour of Solids. McGraw-Hill, New York. Freund, L.B., 1972.Energy Qux into the tip of an extending crack in an elastic solid.J.Elasticity 2 (4), 341–349. Freund, L.B., 1990. Dynamic Fracture Mechanics. Cambridge University Press, Cambridge. Gurtin, M.E., Podio-Guidugli, P., 1996. ConDgurational forces and the basic laws for crack propagation. J.Mech. Phys. Solids 44 (6), 905–927. Gurtin, M.E., Podio-Guidugli, P., 1998. ConDgurational forces and a constitutive theory for crack propagation that allows for kinking and curving.J.Mech.Phys.Solids 46 (8), 1343–1378. Gurtin, M.E., Yatomi, C., 1980. On the energy release rate in elastodynamic crack propagation. Arch. Rat. Mech.Anal.74, pp 231–247. Lanczos, C., 1949.The Variational Principles of Mechanics.University of Toronto Press, Toronto. Maugin, G., 1993.Material Inhomogeneities in Elasticity.Applied Mathematics and Mathematical Computation, Vol.3.Chapman & Hall, London. Rice, J.R., 1968. A path independent integral and the approximate analysis of strain concentration by notches and cracks.J.Appl.Mech.35, 379. SKanchez Palencia, E., 1980.Non Homogeneous Media and Vibration Theory.Springer, Berlin. Sih, G.C., 1973. Mechanics of Fracture, Introductory Chapter: A Special Theory of Crack Propagation, Vol. 1.NoordhoN Int, Leiden. Slepyan, L.I. , 1993.Principle of maximum energy dissipation rate in crack dynamics .J.Mech.Phys.Solids 41 (6), 1019– 1033. Stumpf, H., Le, K.C., 1990. Variational principles of nonlinear fracture mechanics. Acta Mechanica 83, 25–37. Stumpf, H., Le, K.C., 1992. Variational formulation of the crack problem for an elastoplastic body at Dnite strain.Z.Angew.Math.Mech.72 (9), 387–396. Willis, J.R., 1975. Equations of motion for propagating cracks. In: Knott, J.F., Smith, R. (Eds.) The Mechanics and Physics of Fracture.The Metals Society, London, pp.57– 67. Willis, J.R., Movchan, A.B., 1997. Three-dimensional dynamic perturbation of a propagating crack. J. Mech. Phys.Solids 45 (4), 591–610. YoNe, E.,1951. The moving Gri3th crack.Philos.Mag.42, 739-750. | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 8a7b6bff-4e63-42ed-bb95-31a089c7d57f | |
| relation.isAuthorOfPublication.latestForDiscovery | 8a7b6bff-4e63-42ed-bb95-31a089c7d57f |
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