Time-dependent elastoplastic constitutive equation based on the subloading surface model and its application to soils

Soils and Foundations

Volumn 40, Issue 4, 2000, Pages 19-36

  Hashiguchi, Koichi ^a   Okayasu, Takashi ^a  

^a KYUSHU UNIVERSITY   (Japan)

Author keywords

(Subloading surface model); Constitutive equation of soil; Creep; Plasticity; Relaxation; Time effect (IGC: D6 E2)

Indexed keywords

EID: 0011125326     PISSN: 00380806     EISSN: None     Source Type: Journal    
DOI: 10.3208/sandf.40.4_19     Document Type: Article

References (62)

1. Abe, N. and Tomie, H. (1997): "Flow surface history variable model for clays and its applicability," Proc. 32nd Japan Natl. Conf. Geotech. Engrg., pp. 559-560.
2. Adachi, T., Mimura, M. and Oka, F. (1985): "Descriptive accuracy of several existing constitutive models for normally consolidated clays," Proc. 5th Int. Conf. Numer. Meth. Geomech., Nagoya, Vol. 1, pp. 259-266.
3. Adachi, T. and Oka, F. (1982): "Constitutive equations for normally consolidated clay based on elasto-viscoplastidty," Soils and Foundations, Vol. 22, No. 4, pp. 57-70.
4. Adachi, T. and Okano, M. (1974): "A constitutive equation for normally consolidated clays," Soils and Foundations, Vol. 14, No. 4, pp. 55-73.
5. Al-Shamrani, M. A. and Sture, S. (1998): "A time-dependent bounding surface model for anisotropic cohesive soils," Soils and Foundations, Vol. 38, No. 1, pp. 61-76.
6. Bingham, E. C. (1922): Fluidity and Plasticity, McGraw-Hill, New York.
7. Borja, R. I. and Kavazanjian, E. Jr. (1985): "A constitutive model for the stress-strain-time behaviour of 'wet' clay," Géotechnique, Vol. 35, No. 3, pp. 283-298.
8. Borja, R, I. (1992): "Generalized creep and stress relaxation model for clays," J. Geotech. Eng. (ASCE), Vol. 118, No. 11, pp. 1765-1786.
9. Corum, J. M., Greenstreet, W. L., Liu, K. C., Pugh, C. E. and Swindeman, R. W. (1974): "Interim guidelines far detailed inelastic analysis of high-temperature reactor system components," ORNL-5014.
10. Dafalias, Y. F. and Popov, E. P. (1975): "A model of nonlinearly hardening materials for complex loading," Acta Mech., Vol. 23, pp. 173-192.
11. Dafalias, Y. F. and Herrmann, L. R. (1980): "A bounding surface soil plasticity model," Proc. Int. Symp. Soils under Cyclic Trans. Load, Swansea, pp. 335-345.
12. Dafalias, Y. F. (1982): "Bounding surface elastoplasticity-viscoplasticity for particulate cohesive media," Proc. IUTAM Symp. Deformation and Failure of Granular Materials, Delft, pp. 97-107.
13. Dafalias, Y. F. (1985): "The plastic spin," J. Appl. Mech. (ASME), Vol. 52, No. 4, pp. 865-871.
14. Dafalias, Y. F. (1986): "Bounding surface plasticity. I: Mathematical foundation and hypoplasticity," J. Engrg. Mech. (ASCE), Vol. 112, No. 6, pp. 966-987.
15. Drucker, D. C. (1988): "Conventional and unconventional plastic response and representation," Appl. Mech. Rev. (ASME), Vol. 41, No. 4, pp. 151-167.
16. Hashiguchi, K. (1974): "Isotropic hardening theory of granular media," Proc. Japan Soc. Civil Engrg., No. 227, pp. 45-60.
17. Hashiguchi, K. and Ueno, M. (1977): "Elastoplastic constitutive laws of granular materials," Constitutive Equations of Soils (Proc. 9th ICFSME, Spec. Session 9), Tokyo, JSSMFE, Tokyo, pp. 7382.
18. Hashiguchi, K. (1978): "Plastic constitutive equations of granular materials," Proc. US-Japan Seminar Continuum Mech. Stast. Appr. Mech. Granular Materials, Sendai, pp. 321-329.
19. Hashiguchi, K. (1980): "Constitutive equations of elastoplastic materials with elastic-plastic transition," J. Appl. Mech. (ASME), Vol. 47, No. 2, pp. 266-272.
20. Hashiguchi, K. (1981): "Constitutive equations of elastoplastic materials with anisotropic hardening and elastic-plastic transition," J. Appl. Mech. (ASME), Vol. 48, No. 2, pp. 297-301.
21. Hashiguchi, K. (1988): "A mathematical modification of two surface model formulation in plasticity," Int. J. Solids Struct., Vol. 24, No. 10, pp. 987-1001.
22. Hashiguchi, K. (1989): "Subloading surface model in unconventional plasticity," Int. J. Solids Struct., Vol. 25, No. 8, pp. 917-945.
23. Hashiguchi, K. (1993a): "Fundamental requirements and formulation of elastoplastic constitutive equations with tangential plasticity," Int. J. Plasticity, Vol. 9, No. 5, pp. 525-549.
24. Hashiguchi, K. (1993b): "Mechanical requirements and structures of cyclic plasticity models," Int. J. Plasticity, Vol. 9, No. 6, pp. 721-748.
25. Hashiguchi, K. (1994a): "On the loading criterion," Int. J. Plasticity, Vol. 10, No. 8, pp. 871-878.
26. Hashiguchi, K. (1994b): "Subloading surface model with rotational hardening," Proc. Int. Conf. Compt. Methods in Struct. & Geotech. Engrg., Hong Kong, pp. 807-812.
27. Hashiguchi, K. (1995): "On the linear relations of V-ln p and In v-In p for Isotropic consolidation of soils," Int. J. Numer. Anal. Meth. Geomech., Vol. 19, No. 3, pp. 367-376.
28. Hashiguchi, K. (1997): "The extended flow rule in plasticity," Int. J. Plasticity, Vol. 13, No. 1, pp. 37-58.
29. 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., Vol. 22, No. 2, pp. 197-227.
30. Hill, R. (1958): "A general theory of uniqueness and stability in elastic-plastic solids," J. Mech. Phys. Solids, Vol. 6, No. 3, pp. 236-249.
31. Hill, R. (1967): "On the classical constitutive relations for elastic/ plastic solids," Recent Progress in Appl. Mech. (The Folke Odqvist Volume), John Wiley & Sons, pp. 241-249.
32. Hohenesmser, K. and Prager, W. (1932): "Uber die Ansatze der Mechanik isotroper Kontinua," Z. angew. Math. Mech., Vol. 12, No. 2, pp. 216-226.
33. Iwan, W. D. (1967): "On a class of models for the yielding behavior of continuous and composite systems," J. Appl. Mech. (ASME), Vol. 34, No. 3, pp. 612-617.
34. Kaliakin, V. N. and Dafalias, Y. F. (1990a): "Theoretical aspects of the elastoplastic-viscoplastic bounding surface model for cohesive soils," Soils and Foundations, Vol. 30, No. 3, pp. 11-24.
35. Kaliakin, V. N. and Dafalias, Y. F. (1990b): "Verification of the elastoplastic-viscoplastic bounding surface model for cohesive soils," Soils and Foundations, Vol. 30, No. 3, pp. 25-36.
36. Krieg, R. D. (1975): "A practical two surface plasticity theory," J. Appl. Mech. (ASME), Vol. 42, No. 3, pp. 641-646.
37. Krieg, R. D. and Krieg, D. B. (1977): "Accuracies of numerical solution methods for the elastic-perfectly plastic models," J. Pressure Vessel Tech. (ASME), Vol. 99, No. 4, pp. 510-515.
38. Kujawski, D. and Mroz, Z. (1980): "A viscoplastic material model and its application to cyclic loading," Acta Mech. Vol. 36, pp. 213-230.
39. Kutter, B. L. and Sathialingam, N. (1992): "Elastic-viscoplastic modeling of the rate-dependent behavior," Géotechnique, Vol. 42, No. 3, pp. 427-441.
40. Lacerda, W. A. and Houston, W. N. (1973): "Stress relaxation in soils," Proc. 8th ICSFME, pp. 221-227.
41. Liang, R. Y. and Ma, F. (1992): "A unified elasto-viscoplasticity model for clays, Part I: Theory," Compt. Geotech., Vol. 13, No. 2, pp. 71-87.
42. Matsui, T. and Abe, N. (1985): "Elasto-viscoplastic constitutive equation of normally consolidated clays based on flow surface theory," Proc. 5th Int. Conf. Numer. Meth. Geotech., Nagoya, Vol. 1, pp. 407-413.
43. Mroz, Z. (1967): "On the description of anisotropic hardening," J. Mech. Phys. Solids, Vol. 15, No. 2, pp. 163-175.
44. Mroz, Z., Norris, V. A. and Zienkiewicz, O. C. (1981): "An anisotropic, critical state model for soils subjected to cyclic loading," Géotechnique, Vol. 31, No. 4, pp. 451-468.
45. Murayama, S. Kurihara, N. and Sekiguchi, H. (1970): "On creep rupture of normally consolidated clays," Annuals, Disaster Prevention Research Institute, Kyoto University, No. 13 B, pp. 525-541 (in Japanese).
46. Nova, R. (1982): "A viscoplastic constitutive model for normally consolidated clay," Proc. IUTAM Symp. on Deformation and Failure of Granular Materials, Delft, pp. 287-295.
47. Odqvist, F. K. G. and Hult, J. (1962): "Kriechfestigkeit Metal-lischer Werkstoffe," Springer-Verlag, Berlin.
48. Olszak, W. and Perzyna, P. (1966): "The constitutive equations of the flow theory for a non-stationary yield condition," Proc. 11th Int. Congress of Applied Mechanics, pp. 545-553.
49. Olszak, W. and Perzyna, P. (1970): "Stationary and nonstationary viscoplasticity," Inelastic Behavior of Solids, McGraw-Hill, pp. 53-75.
50. Perzyna, P. (1963a): "The constitutive equations for rate sensitive plastic materials," Quart. Appl. Math., Vol. 20, No. 4, pp. 321-332.
51. Perzyna, P. (1963b): "The constitutive equations for workhardening and rate sensitive plastic materials," Proc. Vibration Prob-lems, Warsaw, Vol. 3, No. 3, pp. 281-290.
52. Perzyna, P. (1966): "Fundamental problems in viscoplasticity," Advances in Applied Mechanics, Vol. 9, pp. 243-377.
53. Pillinger, I., Hartley, P., Sturgess, C. E. N. and Rowe, G. W. (1986): "Use of a mean-normal large-strain elastic-plastic finite element solutions," Int. J. Mech. Sci., Vol. 28, No. 1, pp. 23-29.
54. Prager, W. (1961): "Linearization in visco-plasticity," Ingenieur Archiv., Vol. 15, No. 2, pp. 152-157.
55. Pugh, C. E. (1983): "Progress in developing constitutive equations for inelastic design analysis," J. Pressure Vessel Tech. (ASME), Vol. 105, No. 3, pp. 273-276.
56. Sekiguchi, H. (1977): "Rheological characteristics of clays," Proc. 9th ICSFME, Tokyo, Vol. 1, pp. 289-291.
57. Sekiguchi, H. and Ohta, H. (1977): "Induced anisotropy and its time dependence in clays," Constitutive Equations of Soils (Proc. Spec. Session 9, 9th ICSFME), Tokyo, pp. 229-238.
58. Sekiguchi, H. (1984): "Theory of undrained creep rupture of normally consolidated clay based on elasto-viscoplasticity," Soils and Foundations, Vol. 24, No. 1, pp. 129-147.
59. Tatsuoka, F., Santucci de Magistris, F., Hayano, K., Momoya, Y. and Koseki, J. (1998): "Some new aspects of time effects on the stress-strain behaviour of stiff geomaterials," Proc. 2nd Int. Conf. Hard Soils and Soft Rocks, Napoli, (in press).
60. Tian, W.-M., Sadd, M. H., Silva, A. J. and Veyera, G. E. (1994): "Modeling creep behavior of anisotropically consolidated marine clays," Proc. Compt. Meth. & Advances in Geomech., Morgantown (West Virginia), pp. 701-706, A. A. Balkema, Rotterdam.
61. Yamada, Y., Yoshimura, N. and Sakurai, T. (1968): "Plastic stress-strain matrix and its application for the solution of elastic-plastic problems by finite element method," Int. J. Mech. Sci., Vol. 10, No. 5, pp. 343-354.
62. Zbib, H. M. and Atfantis, E. C. (1988): "On the concept of relative and plastic spins and its implications to large deformation theories. Part I: Hypoelasticity and vertex-type plasticity," Acta Mech., Vol. 75, pp. 15-33.