Brittle fracture: thermodynamic refinement of the Griffith problem

作者: A. I. Rusanov

DOI: 10.1007/S10704-009-9428-2

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摘要: The purpose of the work is (a) a rigorous formulation brittle fracture problem from thermodynamic point view and (b) widening theory by accounting for not only surface tension, but also line tension crack. A proper Griffith attained introducing generalized Gibbs energy as potential, both 2d 3d cases being included. Thermodynamic introduced new characteristic crack originating changing near tip, which can be certain significance nanocracks. criterion rupture reformulated in context tension. As an example, detailed calculation tensions performed molecular solid with dispersion forces. effect on ultimate strength shown to twice much case compared case.

参考文章(27)
E. R. Fuller, Robb Thomson, Theory of chemically assisted fracture Journal of Materials Science. ,vol. 15, pp. 1027- 1034 ,(1980) , 10.1007/BF00552116
C.-R. Chiang, Some crack problems in transversely isotropic solids Acta Mechanica. ,vol. 170, pp. 1- 9 ,(2004) , 10.1007/S00707-004-0114-1
R A Sack, Extension of Griffith's theory of rupture to three dimensions Proceedings of the Physical Society. ,vol. 58, pp. 729- 736 ,(1946) , 10.1088/0959-5309/58/6/312
J. H. Irving, John G. Kirkwood, The Statistical Mechanical Theory of Transport Processes. IV. The Equations of Hydrodynamics The Journal of Chemical Physics. ,vol. 18, pp. 817- 829 ,(1950) , 10.1063/1.1747782
Morton E. Gurtin, Thermodynamics and the griffith criterion for brittle fracture International Journal of Solids and Structures. ,vol. 15, pp. 553- 560 ,(1979) , 10.1016/0020-7683(79)90082-9
A. A. Griffith, The Phenomena of Rupture and Flow in Solids Philosophical Transactions of the Royal Society A. ,vol. 221, pp. 163- 198 ,(1921) , 10.1098/RSTA.1921.0006
Zhang Chunyuan, B.L. Karihaloo, A thermodynamic framework of fracture mechanics Engineering Fracture Mechanics. ,vol. 46, pp. 1023- 1030 ,(1993) , 10.1016/0013-7944(93)90152-I
A.I Rusanov, On the thermodynamics of deformable solid surfaces Journal of Colloid and Interface Science. ,vol. 63, pp. 330- 345 ,(1978) , 10.1016/0021-9797(78)90142-X
L.G. Margolin, A generalized Griffith criterion for crack propagation Engineering Fracture Mechanics. ,vol. 19, pp. 539- 543 ,(1984) , 10.1016/0013-7944(84)90010-9