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The properties of strain localization for elastic-plastic porous media with transversely isotropic elasticity under undrained conditions are investigated. Under non-associated plasticity and tri-axial stress states, the conditions for strain localization of elastic-plastic porous media are derived, in which the effects of deviation from isotropic elasticity and pore fluid compressibility are included. Based on the Mohr-Coulomb yield criterion, the influences of the deviation from isotropic elasticity and pore fluid compressibility on the direction angle of localized band initiation and the corresponding critical hardening modulus for the case of plane strain are discussed. As a result, the properties of strain localization are dependent upon the deviation from isotropic elasticity and pore fluid compressibility. The deviation from isotropic elasticity and pore fluid compressibility has significant impacts on the direction angle of localized band initiation and the corresponding critical hardening modulus.
Czasopismo
Rocznik
Tom
Strony
199--211
Opis fizyczny
Bibliogr. 21 poz., rys.
Twórcy
autor
- College of Civil Engineering and Architecture, Zhejiang University, Hangzhou, China
autor
- College of Civil Engineering and Architecture, Zhejiang University, Hangzhou, China
autor
- College of Civil Engineering and Architecture, Zhejiang University, Hangzhou, China
autor
- College of Civil Engineering and Architecture, Zhejiang University, Hangzhou, China
Bibliografia
- 1. Alyavuz B., Gultop T., 2009, Weak shock waves and shear bands in compressible, inextensible thermoelastic solids, Archive of Applied Mechanics, 79, 1145-1161
- 2. Bigoni D., Loret B., 1999, Effects of elastic anisotropy on strain localization and flutter instability in plastic solids, Journal of the Mechanics and Physics of Solids, 47, 1409-1436
- 3. Gao Z.W., Zhao J.D., 2013, Strain localization and fabric evolution in sand, International Journal of Solids and Structures, 50, 3634-3648
- 4. Han C., Vardoulakis I., 1991, Plane strain compression experiments on water-saturated finegrained sand, Geotechnique, 16, 49-78
- 5. Longere P., Dragon A., 2007, Adiabatic heat evaluation for dynamic plastic localization, Journal of Theoretical and Applied Mechanics, 45, 203-223
- 6. Loret B., Rizzi E., 1997, Qualitative analysis of strain localization. Part II: Transversely isotropic elasticity and plasticity, International Journal of Plasticity, 13, 501-519
- 7. Mandel J., 1962, Ondes plastiques dans un milieu ind´efini `a trios dimensions, Journal de M´ecanique I, 1, 3-30
- 8. Mandel J., 1964, Conditions de Stabilit´e et Postulat de Drucker, [In:] Kravtchenko J., Sirieys P.M. (Eds.), Rheology and Soil Mechanics, Springer, Berlin, 58-68
- 9. Nielsin K., Schreyer H.L., 1993, Bifurcations in elastic-plastic materials, International Journal of Solids and Structures, 30, 521-544
- 10. Ottosen N.S., Runesson K., 1991, Properties of discontinuous bifurcation solutions in elastoplasticity, International Journal of Solids and Structures, 27, 401-421
- 11. Rice J.R., 1976, The localization of plastic deformation, [In:] Loiter W.T. (Ed.), Proceedings of 14 th IUTAM Congress, Delft, Amsterdam: North Holland, 207-220
- 12. Rizzi E., Loret B., 1997, Qualitative analysis of strain localization. Part I: Transversely isotropic elasticity and isotropic plasticity, International Journal of Plasticity, 13, 461-499
- 13. Rizzi E, Loret B., 1999, Strain localization in fluid-saturated anisotropic elastic-plastic porous media, International Journal of Engineering Science, 37, 235-251
- 14. Rudnicki J.W., 1977, The effect of stress-induced anisotropy on a model of brittle rock failure as localization of deformation, [In:] Wang F.D., Clark G.B. (Eds.), Energy Resources and Excavation Technology, Proceedings of the 18th US Symposium on Rock Mechanics, Keystone, Colorado, 1-8
- 15. Rudnicki J.W., 2002, Conditions for compaction and shear bands in a transversely isotropic material, International Journal of Solids and Structures, 39, 3741-3756
- 16. Runesson K., Peric D., Sture S., 1996, Effect of pore fluid compressibility on localization in elastic-plastic porous solids under undrained conditions, International Journal of Solids and Structures, 33, 1501-1518
- 17. Thomas T.Y., 1961, Plastic Flow and Fracture in Solids, Academic Press, New York
- 18. Zhang H.W., Schrefler B.A., 2001, Uniqueness and localization analysis of elastic-plastic saturated porous media, International Journal for Numerical and Analytical Methods Geomechanics, 25, 29-48
- 19. Zhang H.W., Zhou L., Schrefler B.A., 2005, Material instabilities of anisotropic saturated multiphase porous media, European Journal of Mechanics A/Solids, 24, 713-727
- 20. Zhang Y.Q., Hao H., Yu M.H., 2002, Effect of porosity on the properties of strain localization in porous media under undrained conditions, International Journal of Solids and Structures, 39, 1817-1831
- 21. Zhang Y.Q., Lu Y., Yu M.H., 2003, Investigation of strain localization in elastoplastic materials with transversely isotropic elasticity, International Journal of Mechanical Sciences, 45, 217-233
Uwagi
PL
Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017)
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Bibliografia
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bwmeta1.element.baztech-662d54da-ddd5-4031-b0a8-16f699b7403f