Subloading surface model in unconventional plasticity

International Journal of Solids and Structures - Tập 25 - Trang 917-945 - 1989
K. Hashiguchi1
1Department of Agricultural Engineering, Kyushu University, Fukuoka, Japan

Tài liệu tham khảo

Aboim, 1982, Bounding-surface-plasticity theory applied to cyclic loading of sand, 65 Anandrajah, 1986, Bounding surface plasticity. III. Application to anisotropic cohesive soils, J. Engng Mech. ASCE, 112, 1292, 10.1061/(ASCE)0733-9399(1986)112:12(1292) Armstrong, 1966, A mathematical representation of the multiaxial Baushinger effect, G.E.G.B. Report RD B/N, 731 Banerjee, 1986, Transient yielding model for clays, J. Engng Mech. ASCE, 112, 170 Bardet, 1986, A bounding surface plasticity model for sands, J. Engng Mech. ASCE, 112, 1198, 10.1061/(ASCE)0733-9399(1986)112:11(1198) Benalla, 1987, Constitutive equations for nonproportional cyclic elastoplastic viscoplasticity, J. Enyng Technol. ASME, 109, 326, 10.1115/1.3225985 Chaboche, 1979, Modelization of the strain memory effect on the cyclic hardening of 316 stainless steel Chen, 1985, Constitutive model for concrete in cyclic compression, J. Engng. Mech. ASCE, 111, 797, 10.1061/(ASCE)0733-9399(1985)111:6(797) Dafalias, 1981, A novel bounding surface constitutive law for the monotonic and cyclic hardening response of metals, L3/44 Dafalias, 1984, Modelling cyclic plasticity: simplicity versus sophistication, 153 Dafalias, 1986, Bounding surface plasticity. I. Mathematical foundation and hypoplasticity, J. Engng Mech. ASCE, 112, 966, 10.1061/(ASCE)0733-9399(1986)112:9(966) Dafalias, 1980, A bounding surface soil plasticity, 335 Dafalias, 1982, Bounding surface formulation of soil plasticity, 253 Dafalias, 1986, Bounding surface plasticity. II: Application to isotropic cohesive soils, J. Engng Mech. ASCE, 112, 1263, 10.1061/(ASCE)0733-9399(1986)112:12(1263) Dafalias, 1975, A model of nonlinearly hardening materials for complex loading, Acta Mech., 21, 173, 10.1007/BF01181053 Dafalias, 1976, Plastic internal variables formalism of cyclic plasticity, J. Appl. Mech. ASME, 43, 645, 10.1115/1.3423948 Dafalias, 1977, Cyclic loading for materials with a vanishing elastic domain, Nuclear Engng Design, 41, 293, 10.1016/0029-5493(77)90117-0 Drucker, 1951, A more fundamental approach to plastic stress-strain relations, 1, 487 Drucker, 1988, Conventional and unconventional plastic response and representation, Appl. Mech. Rev. ASME, 41, 151, 10.1115/1.3151888 Dungar, 1987, A viscoplastic bounding surface model for concrete under compressive and tensile conditions and its application to arch dam analysis, 849 Edelman, 1951, Some extensions of elementally plasticity theory, J. Franklin Inst., 251, 581, 10.1016/0016-0032(51)90406-1 Fardis, 1983, Monotonic and cyclic constitutive laws for concrete, J. Engng Mech. ASCE, 109, 516, 10.1061/(ASCE)0733-9399(1983)109:2(516) Hashiguchi, 1977, Elastoplastic constitutive laws of soils. Constitutive Equations of Soils, 73 Hashiguchi, 1978, Plastic constitutive equations of granular materials, 321 Hashiguchi, 1979, Constitutive equations of granular media with an amnisotropic hardening, 435 Hashiguchi, 1980, Constitutive equations of elastoplastic materials with elastic-plastic transition, J. Appl. Mech. ASME, 47, 266, 10.1115/1.3153653 Hashiguchi, 1980, Anisotropic hardening model for granular media, 469 Hashiguchi, 1981, Constitutive equations of elastoplastic materials with amsotropic hardening and elastic plastic transition, J. Appl. Mech. ASME, 48, 297, 10.1115/1.3157612 Hashiguchi, 1985, Macrometric approaches—static intrinsically time-independent. Constitutive Laws of Soils, 25 Hashiguchi, 1985, Subloading surface model of plasticity, 127 Hashiguchi, 1988, A mathematical modification of two surface model formulation in plasticity, Int. J. Solids Structures, 24, 987, 10.1016/0020-7683(88)90103-5 Hashiguchi, 1989, Subloading surface model with tangential plasticity Herrmann, 1986, Numerical implementation of plasticity model for cohesive soils, J. Engng Mech. ASCE, 113, 500, 10.1061/(ASCE)0733-9399(1987)113:4(500) Hill, 1958, A general theory of uniqueness and stability in elastic-plastic solids, J. Mech. Phys. Solids., 6, 236, 10.1016/0022-5096(58)90029-2 Hill, 1967, On the classical constitutive relations for elastic/plastic solids, Recent Progress in Applied Mech., 241 Ilyushin, 1961, O postulate plastichnosti (On the postulate of plasticity), Prik. Math. Mek., 25, 503 Ishlinski, 1954, Generalized theory of plasticity with linear strain hardening, Ukr. Mat. Zh., 6, 314 Iwan, 1967, On a class of models for the yielding behavior of continuous and composite systems, J. Appl. Mech. ASME, 34, 612, 10.1115/1.3607751 Klisinski, 1988, Plasticity theory based on fuzzy set, J. Engng Mech. ASCE, 114, 563, 10.1061/(ASCE)0733-9399(1988)114:4(563) Klisinski, 1988, Description of inelastic deformation and degradation of concrete, Int. J. Solids Structures, 24, 391, 10.1016/0020-7683(88)90070-4 Krieg, 1975, A practical two surface plasticity theory, J. Appl. Mech. ASME, 42, 641, 10.1115/1.3423656 Liang, 1987, A bounding surface plasticity model for the stress strain time behavior of clays, 699 Mair, 1979, Nonassociated and coupled flow rules of elastoplasticity for rock-like materials, Int. J. Rock Mech. Min. Sci. Geomech. Abstr., 16, 77, 10.1016/0148-9062(79)91445-1 Marquis, 1979, Sur un modèle de plasticité redant compte du comportement cyclique Masing, 1926, Eigenspannungen und Verfestigung beim Messing, 332 Mróz, 1966, On forms of constitutive laws for elastic plastic solids, Archiwum Mechaniki Stosowanej, 18, 3 Mróz, 1967, On the description of anisotropic work-hardening, J. Mech. Phys. Solids, 15, 163, 10.1016/0022-5096(67)90030-0 Mróz, 1982, Elastoplastic and viscoplastic constitutive models for soils with anisotropic loading, 305 Mróz, 1981, An anisotropic, critical state model for soils subject to cyclic loading, Geotechnique, 31, 451, 10.1680/geot.1981.31.4.451 Mróz, 1984, Uniform fortnalization of constitutive equations for clays and sands, 415 Naylor, 1985, A continuous plasticity versioin of the critical stale model, Int. J. Numer. Meth. Engng, 21, 1187, 10.1002/nme.1620210703 Ohno, 1982, A constitutive model of cyclic plasticity with a nonhardening strain region, J. Appl. Mech. ASME, 49, 721, 10.1115/1.3162603 Pande, 1982, Reflecting surface model for soils, 50 Pastor, 1985, Simple model for transient soil loading in earthquake analysis. II. Non-associated models for sands, Int. J. Numer. Anal. Methods Geomech., 9, 477, 10.1002/nag.1610090506 Pietruszczak, 1986, A flow theory of soil: Concept of multiple neutral loading surface, Int. J. Comput. Geotech., 2, 185, 10.1016/0266-352X(86)90027-3 Prager, 1956, Recent development in the mathematical theory of plasticity, J. Appl. Mech. ASME, 20, 235 Tanaka, 1985, Effects of strain path shapes on nonproportional cyclic plasticity, J. Mech. Phys. Solids, 33, 559, 10.1016/0022-5096(85)90003-1 Truesdell, 1955, Hypo-elasticity, J. Ratl. Mech. Anal., 4, 83 Yang, 1985, A bounding surface plasticity model for concrete, J. Eng. Mech. ASCE, 111, 359, 10.1061/(ASCE)0733-9399(1985)111:3(359) Ziegler, 1959, A modification of Prager's hardening rule, Q. Appl. Phys., 17, 55 Zienkiewicz, 1985, Simple model for transient soil loading in earthquake analysis. I. Basic model and its application, Int. J. Numer. Anal. Methoids Geomech., 9, 453, 10.1002/nag.1610090505 Zienkiewicz, 1984, Generalized plasticity formulation and application to geomechanics, 655 Zienkiewicz, 1987, A general model for sand/soil behavior, 261