Generalized non-linear strength theory and transformed stress space

摘要

［1］Yu, M. H., Song, L. Y., Generalization of twin shear stress criterion, Journal of Xi'an Jiaotong University (in Chinese), 1983, 17(3): 65-69.［2］Yu, M. H., He, L. N., Song, L. Y., Twin shear stress strength theory and its generalization, Science in China (in Chinese), Ser. A, 1985, 28(12): 1113-1120.［3］Yu, M. H., Twin Shear Stress Strength Theory and Its Application (in Chinese), Beijing: Science Press, 1998, 60-63.［4］Yu, M. H., He, L. N., A new model and theory on yield and failure of materials under the complex stress state, Mechanical Behavior of Materials-6, London: Pergamon Press, 1991, 3: 841-846.［5］Yu, M. H., He, L. N., Liu, C. Y., Generalized twin shear stress criterion and its generalization, Chinese Science Bulletin (in Chinese), 1992, 37(2): 182-185.［6］Yu, M. H., Unified strength theory for geomaterials and its applications, Chinese Journal of Geotechnical Engineering (in Chinese), 1994, 16(2): 1-10.［7］Matsuoka, H., Nakai, T., Stress deformation and strength characteristics of soil under three different principal stresses, Proc. of JSCE, 1974, 232: 59-70.［8］Lade, P. V., Duncan, J. M., Elastoplastic stress-strain theory for cohesionless soil, J. Geotech. Eng. Div., ASCE, 1975, 101(10): 1037-1053.［9］Chowdhury, E. Q., Nakai T., Consequences of the tij-concept and a new modeling approach, Computers and Geotechnics, 1998, 23: 131-164.［10］Pivonka, P., Lackner, R., Mang, H. A., Shapes of loading surfaces of concrete models and their influence on the peak load and failure mode in structural analyses, Int. J. Eng. Sci., 2003, 41: 1649-1665.［11］Aubertin, A., Li, L., Simon, R. A., Multiaxial stress criterion for short-and long-term strength of isotropic rock media, Int. J. Rock Mech. Min. Sci., 2000, 37(8): 1169-1193.［12］Yao, Y. P., Sun, D. A., Application of Lade's criterion to Cam-clay model, ASCE, J. Engrg. Mech., 2000, 126(1): 112-119.［13］Yao, Y. P., Sun, D. A., Application of Lade's criterion to Cam-clay model (Closure), ASCE, J. Engrg. Mech., 2001, 127(6): 631-633.［14］Matsuoka, H., Yao, Y. P., Sun, D. A., The Cam-clay models revised by the SMP criterion, Soils and Foundations, 1999, 39(1): 81-95.［15］Yao, Y. P., Luo, T., New transformed stress space and its application, Proc. of 7th Numerical Calculation and Analysis on Geomechanics (in Chinese), Dalian: Dalian University of Technology Press, 2001, 16-22.［16］Roscoe, K. H., Schofield, A. N., Thurairajah, A., Yielding of clay in states wetter than critical, Geotechnique, 1963, 13(3): 211-240.［17］Sheng, Z. J., Reasonable expression of elastoplastic stress-strain relationship of soils, Chinese Journal of Geotechnical Engineering (in Chinese), 1980, 2(2): 11-19.［18］Jiang, J. J., Non-linear Finite Element Analysis on Reinforced Concrete Structure (in Chinese), Xi'an: Shanxi Science and Technology Press, 1994, 24-34.［19］Chen, W. F., Constitutive Equations for Engineering Materials, Vol. 1 (translated by Yu, T. Q. et al.) (in Chinese), Wuhan: Huazhong University of Science and Technology Press, 2001, 199-218.［20］Lee, K. L., Seed, H. B., Drained strength characteristics of sands, Journal of the Soil Mechanics and Foundations Division, ASCE, 1967, 93(6): 117-141.［21］Yu, M. H., Zan, Y. W., Zhao, J., A unified strength criterion for rock material, Int. J. Rock Mech. Min. Sci., 2002, 39: 975-989.［22］Launay, P., Gachon, H., Strain and ultimate strength of concrete under triaxial stresses, Special Publication, SP-34, ACI, 1970, 1: 269-282.［23］Lade, P. V., Inel, S., Rotational kinematics hardening model for sand: Part Ⅰ concept of rotating yield and plastic potential surfaces, Computers and Geotechnics, 1997, 21(3): 183-216.［24］Guo, Z. H., Strength and Deformation of Concrete (in Chinese), Beijing: Tsinghua University Press, 1997, 156-156.［25］Willam, K. J., Warnke, E. P., Constitutive model for the triaxial behavior of concrete, International Association for Bridge and Structural Engineering, Seminar on Concrete Structure Subjected to Triaxial Stresses, Paper Ⅲ-1 Bergamo, Italy, IABSE Proceedings, 1975, 19: 1-30.［26］Liu, M. C., Gao, Y. F., Liu, H. L. et al., Large scale triaxial test study on deformation and strength characteristics of rockfill materials, Chinese Journal of Rock Mechanics and Engineering (in Chinese), 2003, 22(7): 1104-1111.［27］Lade, P. V., Musante, H. M., Three-dimensional behavior of remolded clay, J. Geotech. Engrg. Div., ASCE, 1978, 104(2): 193-209.［28］Lade, P. V., Stress-strain theory for normally consolidated clay, Proc. 3rd Int. Conf. Numer. Methods in Geomechanics, Aachen, ed., Balkema, 1979, 3: 1337-1352.