Some symmetrical cavity problems for a hypoplastic granular material

Quarterly Journal of Mechanics and Applied Mathematics

Volumn 53, Issue 1, 2000, Pages 111-135

  Hill, James M ^a  

^a UNIVERSITY OF WOLLONGONG   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

CONTINUUM MECHANICS; EQUATIONS OF STATE OF SOLIDS; FUNCTIONS; GRANULAR MATERIALS; MATHEMATICAL MODELS; NONLINEAR EQUATIONS; PROBLEM SOLVING; STRAIN RATE; STRESS ANALYSIS; TENSORS;

DYNAMICAL CYLINDRICAL CAVITY PROBLEMS; HYPOELASTICITY; HYPOPLASTICITY; STRESS RATE THEORY; SYMMETRICAL CAVITY PROBLEMS;

ELASTOPLASTICITY;

EID: 0033885973     PISSN: 00335614     EISSN: None     Source Type: Journal    
DOI: 10.1093/qjmam/53.1.111     Document Type: Article

References (24)

1. D. Kolymbas, A novel constitutive law for soils. In Proceedings 2nd Int. Conf. Constitutive Laws for Engineering Materials (ed. C. S. Desai; Elsevier, Amsterdam 1987) 319-326.
2. C. A. Truesdell, Hypo-elasticity. J. rat. Mech. Anal. 4 (1955) 83-133.
3. V. Osinov and R. Cudmani, Theoretical investigation of the cavity expansion problem based on a hypoplasticity model. Int. J. numer. anal. Methods Geomech. to appear.
4. D. Kolymbas, An outline of hypoplasticity. Archive app. Mech. 61 (1991) 143-151.
5. G. Gudehus, A comprehensive constitutive equation for granular materials. Soils and Foundations 36 (1996) 1-12.
6. E. Bauer, Calibration of a comprehensive hypoplastic model for granular materials. Ibid. 36 (1996) 13-26.
7. P.-A. von Wolffersdorff, A hypoplastic relation for granular materials with a predefined limit state surface. Mech. cohesive-frictional Mater. 1 (1996) 251-271.
8. E. Bauer and W. Wu, A hypoplastic constitutive model for cohesive powders. Powder Technol. 85 (1995) 1-9.
9. W. Wu, E. Bauer and D. Kolymbas, Hypoplastic constitutive model with critical state for granular materials. Mech. Mater. 23 (1996) 45-69.
10. _ and _, A simple hypoplastic constitutive model for sand. Int. J. numer. anal. Methods Geomech. 18 (1994) 833-862.
11. C. C. Wang, A new representation theorem for isotropic functions. Parts I and II. Archiv rat. Mech. Anal. 36 (1970) 166-223.
12. D. C. Drucker and W. Prager, Soil mechanics and plastic analysis or limit design. Quart. appl. Math. 10 (1952) 157-165.
13. H. Matsuoka and T. Nakai, Stress-strain relationship of soil based on the SMP. In Proceedings 9th Int. Conf. Soil Mechanics and Foundation Engineering, Tokyo (1977) 153-162.
14. W. Wu, Hypoplasticity as a Mathematical Model for the Mechanical Behaviour of Granular Materials. Publication Series of the Institute for Soil and Rock Mechanics 129 (University of Karlsruhe 1992).
15. D. Kolymbas and W. Wu, Introduction to hypoplasticity. In Proceedings Modern Approaches to Plasticity (ed. D. Kolymbas; Elsevier, Amsterdam 1993) 213-223.
16. _, Computer-aided design of constitutive laws. Int. J. numer. anal. Methods Geomech. 15 (1991) 593-604.
17. W. Wu and E. Bauer, A hypoplastic model for barotropy and pyknotropy of granular soils. In Proceedings Modern Approaches to Plasticity (ed. D. Kolymbas; Elsevier, Amsterdam 1993) 225-245.
18. G. Castro, Liquefaction of sand. Harvard University Soil Mechanics Series 81 (1969).
19. W. Wu and A. Niemunis, Failure criterion, flow rule and dissipation function derived from hypoplasticity. Mech. cohesive-frictional Mater. 1 (1996) 145-163.
20. _ and _, Beyond failure in granular materials. Int. J. numer. anal. Methods Geomech. 21 (1997) 153-174.
21. A. Niemunis and I. Herle, Hypoplastic model for cohesionless soils with elastic strain range. Mech. cohesive-frictional Mater. 2 (1997) 279-299.
22. A. J. M. Spencer, Deformation of ideal granular materials. In Mechanics of Solids (ed. H.G. Hopkins; Pergamon, Oxford 1982) 607-652.
23. G. de Josselin de Jong, The double-sliding, free-rotating model for granular assemblies. Geotechnique 21 (1971) 155-163.
24. J. M. Hill, Differential Equations and Group Methods for Scientists and Engineers. Studies in Advanced Mathematics (CRC Press, 1992).