FE-calculations of stress distribution under prismatic and conical sandpiles within hypoplasticity

Granular Matter

Volumn 10, Issue 5, 2008, Pages 399-405

  Tejchman, Jacek ^a   Wu, Wei ^b  

^a GDANSK UNIVERSITY OF TECHNOLOGY   (Poland)

^b UNIVERSITY OF NATURAL RESOURCES AND LIFE SCIENCES   (Austria)

Author keywords

Finite element method; Micro polar hypoplasticity; Sandpile; Stress distribution

Indexed keywords

CONSTRUCTION METHODS; HYPOPLASTICITY; INFLUENCE FACTORS; MAXIMUM STRESS; MEAN GRAIN DIAMETER; MICRO-POLAR HYPOPLASTICITY; PILE CONSTRUCTION; SANDPILE; STRESS DISTRIBUTION; STRESS DISTRIBUTIONS; VOID RATIO;

CONSTITUTIVE MODELS; FINITE ELEMENT METHOD; PILES; STRESS CONCENTRATION; STRESSES;

SAND;

EID: 49149127945     PISSN: 14345021     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10035-008-0102-6     Document Type: Article

References (32)

1. Hummel, F.H., Finnan, E.J.: The distribution of pressure on surfaces supporting a mass of granular materials. Minutes of Proc. Int. Civil Eng. Session, vol. 212, pp. 369-392 (1920)
2. Smid, J., Novosad, J.: Particle technology. Proceedings of the Conference POWTECH 1981. IChE Symposium, vol. 63, pp. D3/V/1-D3/V/12 (1981)
3. A. Watson 1996 Searching for the sand-pile pressure dip Science 273 579 580
4. J. Wittmer P. Claudin M.E. Cates J.-P. Bouchaud 1996 In explanation for the central stress minimum in sand piles Nature 382 336 338
5. R. Brockbank J.M. Huntley R.C. Ball 1997 Contact force distribution beneath three-dimensional granular pile J. Phys. II 7 1521 1532
6. Savage S.B. (1997). Problems in the statics and dynamics of granular materials. In: Behringer, R.P. and Jenkins, J.T. (eds) Powders and Grains, vol. 97., pp 185-194. Balkema, Amsterdam
7. Savage S.B. (1998). Modeling and granular material boundary value problems. In: Herrmann, H.J., Hovi, J.P. and Luding, S. (eds) Physics of Dry Granular Media, pp 25-95. Kluwer, Dordrecht
8. L. Vanel D. Howell D. Clarck R.P. Behringer E. Clement 1999 Memories in sand: experimental test of construction history on stress distribution under sandpiles Phys. Rev. E 60 5 R5040 R5043
9. R.L. Michalowski N. Park 2004 Admissible stress fields and arching in piles of sand Geotechnique 54 8 529 538
10. Michalowski, R.L., Park, N.: Arching in soils. Numerical Models in Geomechanics, NUMOG X Pande, G.N., Pietruszczak, S. (eds.), Taylor and Francis Group, London, 433-438 (2007)
11. O. Al Hattamleh B. Muhunthan H.M. Zbib 2005 Stress distribution in granular heaps using multi-slip formulation Int. J. Numer. Anal. Methods Geomech. 29 713 727
12. K. Liffman D.Y.C. Chan B.D. Hughes 1994 On the stress depression under a sandpile Powder Technol. 78 263 271
13. J.M. Huntley 1999 Force distribution in an inhomogeneous sandpile Eur. Phys. J. B 8 3 389 397
14. K. Liffman M. Nguyen G. Metcalfe P. Cleary 2001 Forces in piles of granular material: an analytic and 3D DEM study Granul. Matter 3 3 165 176
15. W. Wu E. Bauer D. Kolymbas 1996 Hypoplastic constitutive model with critical state for granular materials Mech. Mater. 23 45 69
16. E. Bauer 1996 Calibration of a comprehensive hypoplastic model for granular materials Soils Found. 36 1 13 26
17. G. Gudehus 1996 A comprehensive constitutive equation for granular materials Soils Found. 36 1 1 12
18. P.A. von Wolffersdorff 1996 A hypoplastic relation for granular materials with a predefined limit state surface Mech. Cohesive Frict. Mater. 1 251 271
19. C.C. Wang 1970 A new representation theorem for isotropic functions J. Rat. Mech. Anal. 36 166 223
20. D. Mašín 2005 A hypoplastic constitutive model for clays Int. J. Numer. Anal. Methods Geomech. 29 311 336
21. W.X. Huang W. Wu D.A. Sun S. Sloan 2006 A simple hypoplastic model for normally consolidated clay Acta Geotech. 1 15 27
22. T. Weifner D. Kolymbas 2007 A hypoplastic model for clay and sand Acta Geotech. 2 103 112
23. I. Herle G. Gudehus 1999 Determination of parameters of a hypoplastic constitutive model from properties of grain assemblies Mech. Cohesive Frict. Mater. 4 5 461 486
24. H.A. Rondón T. Wichtmann T. Triantafyllidis A. Lizcano 2007 Hypoplastic material constants for a well-graded granular material for base and subbase layers of flexible pavements Acta Geotech. 2 113 126
25. Maier, T.: Numerische Modellierung der Entfestigung im Rahmen der Hypoplastizität. PhD Thesis, University of Dortmund (2002)
26. J. Tejchman 2004 Influence of a characteristic length on shear zone formation in hypoplasticity with different enhancements Comput. Geotech. 31 8 595 611
27. Oda M. (1993). Micro-fabric and couple stress in shear bands of granular materials. In: Thornton, C. (eds) Powders and Grains., pp 161-167. Balkema, Rotterdam
28. Schäfer H. (1962). Versuch einer Elastizitätstheorie des zweidimensionalen ebenen Cosserat-Kontinuums. In: Festschrift Tolmien, W. (eds) Miszellaneen der Angewandten Mechanik., Akademie-Verlag, Berlin
29. Mühlhaus H.-B. (1990). Continuum models for layered and blocky rock. In: Hudson, J.A. and Fairhurst, Ch. (eds) Comprehensive Rock Engineering, vol. 2., pp 209-231. Pergamon Press, New York
30. J. Tejchman G. Gudehus 2001 Shearing of a narrow granular strip with polar quantities J. Numer. Anal. Methods Geomech. 25 1 18
31. J. Tejchman A. Niemunis 2006 FE-studies on shear localization in an anisotropic micro-polar hypoplastic granular material Granul. Matter 8 3-4 205 220
32. J. Tejchman W. Wu 2007 Modeling of textural anisotropy in granular materials with stochastic micro-polar hypoplasticity Int. J. Non-linear Mech. 42 882 894