References
- Basuroychowdhury, I.N. and Voyiadjis, G.Z. (1998), 'A multiaxial cyclic plasticity model for nonproportional loading cases', Int. J. Plasticity, 14, 855-870 https://doi.org/10.1016/S0749-6419(98)00033-3
- Beaudoin, A.J., Dawson, P.R., Mathur, K.K., Kocks, U.F. and Korzekwa, D.A. (1991), 'Application of polycrystalline plasticity to sheet forming', Comp. Math. Appl. Mech. Eng., 117, 49-70
- Cailletaud, G. (1984), 'Some elements on multiaxial behavior of 316L stainless steel at room temperature', Mech. Mater, 3, 333-345 https://doi.org/10.1016/0167-6636(84)90033-4
- Calloch, S. and Marquis, D. (1997), 'Additional hardening due to tension-torsion nonproportional loadings: influence of the loading shape; multiaxial fatigue and deformation testing techniques', In: Kalluri, S., Bonacuse, P.J.(Eds.) ASTM STP 1280. American Society for Testing and Materials, 113-130
- Chang, K.C. and Lee, G.C. (1986), 'Biaxial properties of structural steel under nonproportional loading', J. Eng. Mech., 112, 792-805 https://doi.org/10.1061/(ASCE)0733-9399(1986)112:8(792)
- Dafalias,Y.F. and Aifantis, E.C. (1990), 'On the microscopic origin of the plastic spin', Acta Mech., 82, 31-48 https://doi.org/10.1007/BF01173738
- Dafalias, Y.F. and Popov, E.P. (1976), 'Plastic internal variables formalism of plasticity', J. Appl. Mech., 43, 645-651 https://doi.org/10.1115/1.3423948
- Diard, O., Leclercq, S., Rousselier, G and Cailletaud, G. (2005), 'Evaluation of finite element based analysis of 3D multicrystalline aggregates plasticity: Application to crystal plasticity model identification and the study of stress and strain fields near grain boundaries', Int. J. Plasticity, 21, 691-722 https://doi.org/10.1016/j.ijplas.2004.05.017
- Ellyin, F. and Wolodko, J.D. (1997), 'Testing facilities for multiaxial loading of tubular specimens, multiaxial fatigue and deformation testing techniques', ASTM STP 1280, S. Kalluri and P.J. Bonacuse, Eds., ASTM, 724
- Hopperstad, O.S., Langseth, M. and Remseth, S. (1995a), 'Cyclic stress-strain behaviour of alloy AA6060 T4, Part I: Biaxial experiments and modeling', Int. J. Plasticity, 11, 725-739 https://doi.org/10.1016/S0749-6419(95)00032-1
- Hopperstad, O.S., Langseth, M. and Remseth, S. (1995b), 'Cyclic stress-strain behaviour of alloy AA6060 T4, Part II: Biaxial experiments and modeling', Int. J. Plasticity, 11, 741-762 https://doi.org/10.1016/S0749-6419(95)00033-X
- Krempl, E. and Lu, H. (1984), 'The hardening and rate dependent behavior of fully annealed AISI type 304 stainless steel under biaxial in-phase and out-of-phase strain cycling at room temperature', J. Eng. Mater. Technol., 106, 376-384 https://doi.org/10.1115/1.3225733
- Krieg, R.D. (1975), 'A practical two surface plasticity theory', J. Appl. Mech., 42, 641-646 https://doi.org/10.1115/1.3423656
- Kwofie, S. (2003), 'Description of cyclic hysteresis behavior based on one-parameter model', Maters. Sci. Eng., A357, 86-93
- Lamba, H.S. and Siderbottom, O.M. (1978), 'Cyclic plasticity for nonproportional path: Part 1: Cyclic hardening, erasure of memory, and subsequent strain hardening experiments', J. Eng. Mater. Technol, 100, 96-103 https://doi.org/10.1115/1.3443456
- Miehe, C., Schotte, J. and Schroder, J. (1999), 'Computational micro-macro transitions and overall moduli in the analysis of polycrystals at large strains', Comput. Mat. Sci., 16, 372-382 https://doi.org/10.1016/S0927-0256(99)00080-4
- Mroz, Z. (1967), 'On the description of anisotropic workhardening', J. Mech. Phys. Solids, 15, 163-175 https://doi.org/10.1016/0022-5096(67)90030-0
- Murakami, H. and Read, H.E. (1989), 'A second-order numerical scheme for integrating the endochronic plasticity equations', Comput. Struct., 31, 663-672 https://doi.org/10.1016/0045-7949(89)90200-9
- Ning, J. and Aifantis, E.C. (1996), 'Anisotropic yield and plastic flow of polycrystalline solids', Int. J. Plasticity, 12, 1221-1240 https://doi.org/10.1016/S0749-6419(98)80003-X
- Pan, W.F. and Chern, C.H. (1997), 'Endochronic description for viscoplastic behavior of materials under multiaxial loading', Int. J. Solids Struct., 34, 2131-2160 https://doi.org/10.1016/S0020-7683(96)00118-7
- Pan, W.F. and Chiang, W.J. (1999), 'Endochronic analysis for rate-dependent elasto-plastic deformation', Int. J. Solids Struct., 36, 3215-3237 https://doi.org/10.1016/S0020-7683(98)00145-0
- Rivlin, R.S. (1981), 'Some comments on the endochronic theory of plasticity', Int. J. Solids Struct., 17, 231-248 https://doi.org/10.1016/0020-7683(81)90078-0
- Samson, Y., Hong S.G. and Lee, S.B. (2004), 'Phenomenological description of cyclic deformation using the overlay model', Mater. Sci. Eng., A364, 17-26
- Sandler, I.S. (1978), 'On the uniqueness and stability of endochronic theories of material behavior', J. Appl. Mech., 45, 263-266 https://doi.org/10.1115/1.3424285
- Shiao, Y.P. (2000), 'A study on multi axial cyclic loading and anisotropic plasticity of structural metals', Ph.D. Thesis, National Taiwan University, Dept. of C.E
- Tanaka, E., Murakami, S. and Ooka, M. (1985a), 'Effects of strain path shapes on non-proportional cyclic plasticity', J. Mech. Phys. Solids, 33(6), 559-575 https://doi.org/10.1016/0022-5096(85)90003-1
- Tanaka, E., Murakami, S. and Ooka, M. (1985b), 'Effects of plastic strain amplitudes on non-proportional cyclic plasticity', Acta Mech., 57, 167-192 https://doi.org/10.1007/BF01176916
- Valanis, K.C. (1971), 'A theory of viscoplasticity without a yield surface, Part I: General theory', Arch. Mech., 23, 517-551
- Valanis, K.C. (1980), 'Fundamental consequence of a new intrinsic time measure-plasticity as a limit of the endochronic theory', Arch. Mech., 32, 171-191
- Valanis, K.C. and Fan, J. (1983), 'Endochronic analysis of cyclic elastoplastic strain fields in a notch plate', J. Appl. Mech., ASME, 50, 789-794 https://doi.org/10.1115/1.3167147
- Valanis, K.C. (1984), 'Continuum foundations of endochronic plasticity', J. Eng. Mater. Technol., 106, 367-375 https://doi.org/10.1115/1.3225732
- Watanabe, O. and Atluri, S.N. (1986), 'Constitutive modeling of cyclic plasticity and creep, using an internal time concept', Int. J. Plasticity, 2, 107-134 https://doi.org/10.1016/0749-6419(86)90008-2
- Wu, H.C., Yao, J.C. and Chu, S.C. (1986), 'Investigation of endochronic constitutive equation subject to plastic strain-controlled axial-torsional deformation', J. Eng. Mater. Technol, 108, 262-269 https://doi.org/10.1115/1.3225879
- Wu, H.C. and Yip, M.C. (1981), 'Endochronic description of cyclic hardening behavior of metallic material', J. Eng. Mater. Technol, 103, 212-217 https://doi.org/10.1115/1.3225003
- Yeh, W.C. (1995), 'Verification of the endochronic theory of plasticity under biaxial load', J. the Chinese Institute of Engineers, 18(1), 25-34 https://doi.org/10.1080/02533839.1995.9677663
- Yeh, W.C., Cheng, J.Y. and Her, R.S. (1994), 'Analysis of plastic behavior to cyclically uniaxial tests using an endochronic approach', J. Eng. Mater. Technol, ASME, 116, 62-67 https://doi.org/10.1115/1.2904256
- Yeh, W.C., Ho, C.D. and Pan, W.F. (1996), 'An endochronic theory accounting for deformation induced anisotropy', Int. J. Plasticity, 12, 987-1004 https://doi.org/10.1016/S0749-6419(96)00038-1