Prediction of the deformation behavior of sand subjected to general cyclic loading by the tangential-subloading surface model

Lowland Technology International

Volumn 7, Issue 1, 2005, Pages 51-63

  Setouchi, H ^a   Hashiguchi, K ^b   Ueno, M ^a  

^a UNIVERSITY OF THE RYUKYUS   (Japan)

^b KYUSHU UNIVERSITY   (Japan)

Author keywords

Cyclic loading; Elastoplasticity; Inelastic strain rate; Nonproportional loading; Subloading surface model; Tangential stress rate

Indexed keywords

DEFORMATION; ELASTOPLASTICITY; LOADING; MATHEMATICAL MODELS; STRAIN; STRESSES;

MAGNITUDE; NONPROPORTIONAL LOADING; SOLUTION RATIO; STRESS RATE;

SAND;

SOIL DYNAMICS;

EID: 20444492707     PISSN: 13449656     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (29)

1. Dafalias, Y. F. (1985). The plastic spin, J. Appl. Mech. (ASME), 52, 865-871.
2. Drucker, D. C. (1988). Conventional and unconventional plastic response and representation, Appl. Mech. Rev. (ASME), 41, 151-167.
3. Hashiguchi, K. (1974). Isotropic hardening theory of granular media, Proc. JSCE, No.227, 45-60.
4. Hashiguchi, K. and Ueno, M. (1977). Elastoplastic constitutive laws of granular materials, Constitutive Equations of Soils (Proc. 9th Int. conf. Soil Mech. Found. Eng., Spec. Session 9, Tokyo), JSSMFE, 73-82.
5. Hashiguchi, K. (1980). Constitutive equations of elastoplastic materials with elastic-plastic transition, J. Appl. Mech. (ASME), 47, 266-272.
6. Hashiguchi, K. (1989). Subloading surface model in unconventional plasticity, Int. J. Solids Strut., 25, 917-945.
7. Hashiguchi, K. (1993a). Fundamental requirements and formulation of elastoplastic constitutive equations with tangential plasticity, Int. J. Plasticity, 9, 525-549.
8. Hashiguchi, K. (1993b). Mechanical requirements and structures of cyclic plasticity models, Int. J. Plasticity, 9, 721-748.
9. Hashiguchi, K. (1995). On the linear relation of V-lnp and lnv-lnp for isotropic consolidation of soils, Int. J. Numer. Anal. Meth. Geomech., 19, 367-376.
10. Hashiguchi, K. and Yoshimaru. (1995). A generalized formulation of the concept of nonhardening region, Int. J. Plasticity, 11, 347-365.
11. Hashiguchi, K. and Chen, Z.-P. (1998). Elastoplastic constitutive equations of soils with the subloading surface and the rotational hardening, Int. J. Numer. Anal. Meth. Geomech., 22, 197-227.
12. Hashiguchi, K. (2000). Fundamentals in constitutive equation: continuity and smoothness conditions and loading criterion, Soils and Foundations, 40(4), 155-161.
13. Hashiguchi, K. and Tsutsumi, S. (2001). Elastoplastic constitutive equation with tangential stress rate effect, Int. J. Plasticity, 17, 117-145.
14. Hashiguchi, K. (2001). Description of inherent/induced anisotropy of soils: Rotational hardening rule with objectivity, Soils and Foundations, 41 (6), 139-145.
15. Hashiguchi, K. (2002). A Proposal of the simplest convex-conical surface for soils, Soils and Foundations, 42(3), 107-113.
16. Hashiguchi, K. and Tsutsumi, S. (2003). Shear band formation analysis in soils by the subloading surface model with tangential stress rate effect, Int. J. Plasticity, 19, 1651-1677.
17. Hashiguchi, K. and Protasov, A. (2004). Localizaed necking analysis by the subloading surface model with tangential-strain rate and anisotropy, Int. J. Plasticity, 20, 1909-1930.
18. Hill, R. (1950). The Mathematical Theory of Plasticity, Clarendon Press.
19. Khojastehpour, M. and Hashiguchi, K. (2004a). Axisymmetric bifurcation analysis in soils by the tangential-subloading surface model, J. Mech. Physics of Solids, In Press.
20. Khojastehpour, M. and Hashiguchi, K. (2004b). Plane strain bifurcation analysis of soils by the tangential-subloading surface model, Int. J. Solids Struct., 41, 5541-5563.
21. Masing, G. (1926). Eigensppannungen und Verfestigung beim Messing, Int: Proc. 2nd Int. Congr. Appl., Mech., Zurich, 332-335.
22. Mroz, Z. (1966). On forms of constitutive laws for elastic-plastic solids, Archiwum Mechaniki Stosowanej, 18, 1-34.
23. Paradhan, T. B. S., Tatsuoka, F. and Sato, Y. (1989). Experimental stress-dilatancy relations of sand subjected to cyclic loading, Soils and Foundations, 29 (1), 45-64.
24. Rudnicki, J. W. and Rice, J. R. (1975). Conditions for localization of deformation in pressure-sensitive dilatant materials, J. Mech. Phys. Solids, 23, 371-394.
25. Saada, A. S. and Bianchini, G. (1989). Proc. Int. Workshop on Constitutive Equations for Granular Non-cohesive Soils, Cleveland, Balkema, Rotterdam.
26. Tatsuoka, F., Toki, S., Miura, S., Kato, H., Okamoto, M., Yamada, S., Yasuda, S. and Tanizawa, F. (1986). Some factors affecting cyclic undrained triaxial strength of sand, Soils and Foundations, 26 (3), 99-116.
27. Topolnicki, M. (1990). An elasto-plastic subloading surface model for clay with isotropic and kinematic mixed hardening parameters, Soils and Foundations, 30, pp. 103-113.
28. Yoshimi, Y., Hatanaka, M. and Oh-Oka, H. (1978). Undisterbed sampling of saturated sand by freezing, Soils and Foundations, 18 (3), 59-73.
29. Zbib, H. M. and Aifantis, E. C. (1988). On the concept of relative and plastic and its implications to large deformation theories. Part I: Hypoelasticity and vertex-type plasticity Acta. Mech., 75, 15-33.