The effects of inertia on crack growth in poroelastic fluid-saturated media

Journal of the Mechanics and Physics of Solids - Tập 49 - Trang 995-1020 - 2001
Benjamin Loret1, Enrico Radi2
1Institut de Mécanique de Grenoble, Laboratoire Sols Solides Structures, Domaine Universitaire, B.P. 53X - 38041 Grenoble, France
2Dipartimento di Ingegneria Strutturale, Università di Cagliari, Piazza d'Armi, 19 - 09123 Cagliari, Italy

Tài liệu tham khảo

Achenbach, 1972, Dynamic effects in brittle fracture., 1 Achenbach, 1975, Elastodynamic near tip stress and displacement fields for rapidly propagating cracks in orthotropic materials, J. Appl. Mech., 42, 183, 10.1115/1.3423513 Atkinson, 1991, Plane strain fracture in poroelastic media, Proc. Roy. Soc. A, 434, 605, 10.1098/rspa.1991.0116 Atkinson, 1992, Fracture in fully coupled dynamic thermoelasticity, J. Mech. Phys. Solids, 40, 1415, 10.1016/0022-5096(92)90026-X Biot, 1941, General theory of three-dimensional consolidation, J. Appl. Phys., 12, 155, 10.1063/1.1712886 Biot, 1956, The theory of propagation of elastic waves in a fluid saturated porous solid, I The low frequency range, II The high frequency range, J. Acoust. Soc. Am., 28, 168, 10.1121/1.1908239 Biot, 1962, Mechanics of deformation and acoustic propagation in porous media, J. Appl. Phys., 33, 1482, 10.1063/1.1728759 Bowen, 1982, Compressible porous media models by use of the theory of mixtures, Int. J. Engng. Sci., 20, 697, 10.1016/0020-7225(82)90082-9 Freund, 1972, Energy flux into the tip of an extending crack in an elastic solid, J. Elasticity, 2, 341, 10.1007/BF00045718 Freund, 1990 Freund, 1974, On the uniqueness of plane elastodynamic solutions for running cracks, J. Elasticity, 4, 293, 10.1007/BF00048612 Jones, 1961, Rayleigh waves in a porous, elastic, saturated solid, J. Acoust. Soc. Am., 33, 959, 10.1121/1.1908865 Loret, 1991, Acceleration waves, flutter instabilities and stationary discontinuities in inelastic porous media, J. Mech. Phys. Solids, 39, 569, 10.1016/0022-5096(91)90042-M Louis, C., 1974. Introduction á l'hydraulique des roches. Bull. Bur. Rech. Géol. Min. Ser. 2, Sect. III, No. 4. Moran, 1987, A general treatment of crack-tip contour integrals, Int. J. Fracture, 35, 295, 10.1007/BF00276359 Piva, 1991, Elastodynamic local fields for a crack running in an orthotropic medium, J. Appl. Mech., 58, 982, 10.1115/1.2897717 Rice, 1985, Shear localization, faulting, and frictional slip: Discusser's report., 211 Rice, 1976, Some basic stress-diffusion solutions for fluid-saturated elastic porous media with compressible constituents, Rev. Geophys. Space Phys., 14, 227, 10.1029/RG014i002p00227 Rice, 1976, The stabilization of spreading shear faults by coupled deformation-diffusion effects in fluid-infiltrated porous materials, J. Geophys. Res., 81, 5322, 10.1029/JB081i029p05322 Rudnicki, 1985, Effects of pore fluid diffusion on deformation and failure of rock., 65 Rudnicki, 1991, Boundary layer analysis of plane strain shear cracks propagating steadily on an impermeable plane in an elastic diffusive solid, J. Mech. Phys. Solids, 39, 201, 10.1016/0022-5096(91)90003-7 Rudnicki, 1991, Steady propagation of plane strain shear cracks on an impermeable plane in an elastic diffusive solid, Int. J. Solids Struct., 27, 205, 10.1016/0020-7683(91)90229-9 Ruina, A., 1978. Influence of coupled deformation-diffusion effects on retardation of hydraulic fracture. In: Kim, Y.S. (Ed.), Proceedings of the 19th U.S. Symposium on Rock Mechanics. Stateline, University of Nevada, Reno, pp. 274–282. Willis, J.R., 1989. Accelerating cracks and related problems. In: Ogden R.W. (Ed.), Elasticity, Mathematical Methods and Applications, the Ian Sneddon 70th Birthday Volume. Ellis Horwood, Chichester, pp. 397–409. Willis, 1992, The stress field near the tip of an accelerating crack, J. Mech. Phys. Solids, 40, 1671, 10.1016/0022-5096(92)90045-4