Hybrid crack-tip element and its applications
Tài liệu tham khảo
Ortiz, 1987, Continuum theory of crack shielding in ceramics, J. Appl. Mech., 54, 54, 10.1115/1.3172994
Ortiz, 1988, Microcrack coalescence and macroscopic crack growth initiation in brittle solids, Int. J. Solids Struct., 24, 231, 10.1016/0020-7683(88)90031-5
Ortiz, 1989, Maximal crack tip shielding by microcracking, J. Appl. Mech., 56, 279, 10.1115/1.3176079
Rose, 1986, Effective fracture toughness of microcracked materials, J. Am. Ceram. Soc., 69, 212, 10.1111/j.1151-2916.1986.tb07409.x
Rose, 1986, Microcrack interaction with a main crack, Int. J. Fract., 31, 233, 10.1007/BF00018929
Meguid, 1996, Mechanics and mechanisms of toughening of advance ceramics, J. Mater. Process. Technol., 56, 978, 10.1016/0924-0136(95)01909-X
Gong, 1995, On the formation of near-tip microcracking and associated toughening effects, Eng. Fract. Mech., 50, 29, 10.1016/0013-7944(94)00157-D
Carpinteri, 1996, Microcrack propagation, coalescence and size effects in compression, Eng. Fract. Mech., 54, 335, 10.1016/0013-7944(95)00161-1
R.H. Gallagher, Survey and evaluation of the finite element method in fracture mechanics analysis, Proceedings of the First International Conference on Structural Mechanics in Reactor Technology, Berlin, Vol. 6, Part L, 1971, pp. 637–653.
Barsoum, 1974, Application of quadratic isoparametric finite element in linear fracture mechanics, Int. J. Fract., 10, 603, 10.1007/BF00155266
Henshell, 1975, Crack tip finite elements are unnecessary, Int. J. Numer. Methods Eng., 9, 495, 10.1002/nme.1620090302
Banks-Sills, 1984, Reappraisal of the quarter-point quadrilateral element in linear elastic fracture mechanis, Int. J. Fract., 25, 169, 10.1007/BF01140835
Jirousek, 1993, Comparative study of p-extensions based on conventional assumed displacement and hybrid-Trefftz FE models, Computers & Structures, 46, 261, 10.1016/0045-7949(93)90191-F
Teixeira de Freitas, 1999, Numerical implementation of hybrid-Trefftz displacement elements, Computers & Structures, 73, 207, 10.1016/S0045-7949(98)00271-5
Dutta, 1990, On the use of one point and two points singularity elements in the analysis of kinked cracks, Int. J. Numer. Methods Eng., 29, 1487, 10.1002/nme.1620290708
Maiti, 1992, A finite element for variable order singularities based on the displacement formulation, Int. J. Numer. Methods Eng., 33, 1955, 10.1002/nme.1620330912
Maiti, 1992, A multicorner variable order singularity triangle to model neighbouring singularities, Int. J. Numer. Methods Eng., 35, 391, 10.1002/nme.1620350210
P. Tong, T.H.H. Pian, Lasry, A hybrid-element approach to crack problems in plane elasticity, Int. J. Numer. Methods Eng. 7 (1973) 297–308.
Teixeira de Freitas, 1996, Hybrid-Trefftz finite element formulation for simulation of singular stress fields, Int. J. Numer. Methods Eng., 39, 281, 10.1002/(SICI)1097-0207(19960130)39:2<281::AID-NME857>3.0.CO;2-X
Teixeira de Freitas, 1996, Hybrid-Trefftz equilibrium model for crack problems, Int. J. Numer. Methods Eng., 39, 569, 10.1002/(SICI)1097-0207(19960229)39:4<569::AID-NME870>3.0.CO;2-8
J. Zhang, N. Katsube, A hybrid finite element method for crack, Proceedings of the International Conference on Computational Engineering Science, Hawaii, USA, July 30–August 3, 1995.
Li, 1999, An investigation of the effects of layer thickness on the fracture behavior of layered NiAI/V composites, J. Eng. Mater.—Trans. ASME, 121, 453, 10.1115/1.2812401
Fowler, 1996, Hydraulic crack propagation in a porous medium, Geophys. J. Int., 127, 595, 10.1111/j.1365-246X.1996.tb04040.x
Muskhelishvili, 1953
Kanninen, 1985
