Delayed plastic model for time-dependent behaviour of materials

International Journal for Numerical and Analytical Methods in Geomechanics

Volumn 25, Issue 6, 2001, Pages 605-627

  Namikawa, Tsutomu ^a  

^a TAKENAKA CORPORATION   (Japan)

Author keywords

Cohesivesoil; Constitutive relations; Creep; Plasticity; Strees path; Time effect

Indexed keywords

CLAY; MATHEMATICAL MODELS; SHEAR STRESS; STRAIN RATE; STRESS ANALYSIS;

CAM-CLAY MODELS; STATIC STRESS; TIME-DEPENDENT MODELS;

ELASTOPLASTICITY;

CREEP; PLASTICITY; STRESS-STRAIN RELATIONSHIP; TIME DEPENDENT BEHAVIOR;

EID: 0035339624     PISSN: 03639061     EISSN: None     Source Type: Journal    
DOI: 10.1002/nag.144     Document Type: Article

References (31)

1. Perzyna P. The constitutive equations for rate sensitive plastic materials. Quarterly of Applied Mathematics. 1963; 20:321-332.
2. Adachi T, Okano M. A constitutive equation for normally consolidated clay. Soil and Foundation 1974; 14(4):55-73.
3. Schofield AN, Wroth CP. Critical State Soil Mechanics. McGraw-Hill: London, 1968.
4. Adachi T, Oka F. Constitutive equations for normally consolidated clay based on elasto-viscoplasticity. Soil and Foundation 1982; 22(4):57-70.
5. Zienkiewicz OC, Humpheson C, Lewis RW. Associated and non-associated visco-plasticity and plasticity in soil mechanics. Geotechnique 1975; 25(4):671-689.
6. Katona MG. Evaluation of viscoplastic cap model. Journal of Geotechnical Engineering Division ASCE 1984; 110(8):1106-1125.
7. Kutter BL, Sathialingam N. Elastic-viscoplastic modeling of the rate-dependent behaviour. Geotechnique 1992; 42(3):427-441.
8. Di Prisco C, Imposimato S. Time dependent mechanical behaviour of loose sand. Mechanics of Cohesive-Frictional Materials 1996; 1:45-73.
9. Kaliakin VN, Dafalias YF. Theoretical aspects of the elastoplastic-viscoplastic bounding surface model for cohesive soils. Soil and Foundation 1990a; 30(3):11-24.
10. Kaliakin VN, Dafalias YF. Verification of the elastoplastic-viscoplastic bounding surface model for cohesive soils. Soil and Foundation 1990b; 30(3):25-36.
11. Dafalias YF. Bounding surface plasticity. 1: mathematical foundation and hypoplasticity. Journal of Engineering Mechanics ASCE 1986; 112(9):966-987.
12. Darve F, Vuaillat P. A visco-elasto-plastic law for clays and its use. Proceedings of the 4th International Conference on Numerical Methods in Geotechniques, Edmonton, vol. 1, 1982; 131-138.
13. Borja RI. Generalized creep and stress relaxation model for clays. Journal of Geotechnical Engineering ASCE 1992; 118(11):1765-1786.
14. Al-Shamrani MA, Sture S. A time-dependent bounding surface model for anisotropic cohesive soils. Soil and Foundation 1998; 38(1):61-76.
15. Hashiguchi K, Okayasu T. Time-dependent elastoplastic constitutive equation based on the subloading surface model and its application to soils. Soil and Foundation 2000; 40(4):19-36.
16. Naghdi PM, Murch, SA. On the mechanical behaviour of viscoelastic/plastic solids. Journal of Applied Mechanics 1963; 30:321-328.
17. Sekiguchi H. Rheological characteristics of clays. Proceedings of the 9th ICSMFE, vol. 1, 1977; 289-292.
18. Nova R. A viscoplastic constitutive model for normally consolidated clay. Proceedings of the IUTAM Symposium, on Deformation and Failure of Granular Materials, 1982; 287-295.
19. Matsui T, Abe N. Elasto-viscoplastic constitutive equation of normally consolidated clays based on flow surface theory. Proceedings of the 5th International Conference on Numerical Methods in Geotechniques, Nagoya, vol. 1, 1985; 407-413.
20. Tatsuoka F, Santucci de Magistris F, Hayano K, Momoya Y, Koseki J. Some new aspects of time effects on the stress-strain behaviour of stiff geomaterials. Proceedings of the 2nd International Conference on Hard Soils-Soft Rocks, Napoli, vol. 2, 1998; in press.
21. Hill R. The Mathematical Theory of Plasticity. Oxford University Press: London, 1950.
22. Perzyna P. Fundamental problems in viscoplasticity. Advances in Applied Mechanics 1966; 9:243-377.
23. Vaid YP. Time dependent shear deformation of clay. Proceedings of the International Conference on Rheology and Soil Mechanics, Coventry, 1988; 123-138.
24. Eisenberg MA, Yen CF. A theory of multiaxial anisotropic viscoplasticity. Journal of Applied Mechanics 1981; 48:276-284.
25. Hill R. A general theory of uniqueness and stability in elastic-plastic solids. Journal of the Mechanics and Physics of Solids 1958; 6(3):236-249.
26. Hashiguchi K. Subloading surface model in unconventional plasticity. International Journal of Solids and Structures 1989; 25(8):917-945.
27. Oka F. Constitutive theory for solid-fluid mixture and its application to stress wave propagation through cohesive soil. Proceedings of JSCE 1979; 272:117-130.
28. Bjerrum L. Engineering geology of Norwegian normally consolidated marine clays as related to settlements of buildings. Geotechnique 1967; 17(2):81-118.
29. Adachi T, Mimura M, Oka F. Descriptive accuracy of several existing constitutive models for normally consolidated clays. Proceedings of the 5 International Conference on Numerical Methods in Geomechanics, Nagoya, vol. 1, 1985; 259-266.
30. Arulanandan K, Shen CK, Young RB. Undrained creep behaviour of a coastal organic silty clay. Geotechnique 1971; 21(4), 359-375.
31. Sekiguchi H. Theory of undrained creep rupture of normally consolidated clay based on elasto-viscoplasticity. Soil and Foundation 1984; 24(1):129-147.