A Note on the Energy Release Rate in Quasi-Static Elastic Crack Propagation

Abstract

Next article A Note on the Energy Release Rate in Quasi-Static Elastic Crack PropagationJames K. KnowlesJames K. Knowleshttps://doi.org/10.1137/0141034PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAboutAbstractThis paper considers analytical issues associated with the notion of the energy release rate in quasi-static elastic crack propagation.[1] C. Atkinson and , J. D. Eshelby, The flow of energy into the tip of a moving crack, Internat. J. Fracture Mech., 4 (1968), 3–8 CrossrefISIGoogle Scholar[2] B. Budiansky and , J. R. Rice, Conservation laws and energy release rates, J. Appl. Mech., 40 (1973), 201–203 0261.73059 CrossrefISIGoogle Scholar[3] J. D. Eshelby, M. F. Kanninen, Energy relations and the energy-momentum tensor in continuum mechanicsInelastic Behavior of Solids, McGraw-Hill, New York, 1956 Google Scholar[4] J. D. Eshelby, F. Seitz and , D. Turnbull, The continuum theory of lattice defectsSolid State Physics, Vol. 3, Academic Press, New York, 1956 CrossrefGoogle Scholar[5] J. R. Rice, H. Liebowitz, Mathematical analysis in the mechanics of fractureFracture, an Advanced Treatise, Vol. 2, Academic Press, New York, 1968 0214.51802 Google Scholar[6] J. L. Sanders, On the Griffith-Irwin fracture theory, J. Appl. Mech., 27 (1960), 352–353 22:2153 0093.39003 CrossrefGoogle Scholar[7] Morton E. Gurtin, On the energy release rate in quasi-static elastic crack propagation, J. Elasticity, 9 (1979), 187–195 80g:73060 0398.73089 CrossrefISIGoogle Scholar[8] I. N. Sneddon and , M. Lowengrub, Crack problems in the classical theory of elasticity, John Wiley & Sons Inc., New York, 1969viii+221 41:2986 0201.26702 Google Scholar[9] J. K. Knowles and , T. A. Pucik, Uniqueness for plane crack problems in linear elastostatics, J. Elasticity, 3 (1973), 155–160 CrossrefGoogle Scholar[10] Tom M. Apostol, Mathematical analysis: a modern approach to advanced calculus, Addison-Wesley Publishing Company, Inc., Reading, Mass., 1957xii+553 19,398e 0077.05501 Google Scholar[11] J. R. Rice, A path-independent integral and the approximate analysis of strain concentration by notches and cracks, J. Appl. Mech., 35 (1968), 379– CrossrefISIGoogle Scholar Next article FiguresRelatedReferencesCited byDetails Effective toughness of heterogeneous mediaJournal of the Mechanics and Physics of Solids, Vol. 71 Cross Ref Energy Flows in Elastic Fracture Cross Ref SHAPE ANALYSIS AND OPTIMIZATION IN DISTRIBUTED PARAMETER SYSTEMS111 This research has been supported in part by the Natural Sciences and Engineering Research Council of Canada, Operating Grant A–8730 and a FCAR grant from the “Ministere de l'Education du Quebec”. Cross Ref Shape Analysis and Optimization in Distributed Parameter SystemsIFAC Proceedings Volumes, Vol. 22, No. 4 Cross Ref Path-independent integrals for the direct determination of stress intensity factors in certain classical crack problemsJournal of Elasticity, Vol. 16, No. 4 Cross Ref Volume 41, Issue 3| 1981SIAM Journal on Applied Mathematics History Submitted:03 September 1980Accepted:09 December 1980Published online:12 July 2006 InformationCopyright © 1981 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/0141034Article page range:pp. 401-412ISSN (print):0036-1399ISSN (online):1095-712XPublisher:Society for Industrial and Applied Mathematics