Granular hypoplasticity with Cosserat effects

AIP Conference Proceedings

Volumn 1227, Issue , 2010, Pages 323-332

  Goddard, J D ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Cosserat continuum; Couple stress; Dilatancy; Micropolar; Parametric hypoplasticity; Stiff elastoplasticity

Indexed keywords

EID: 77954566044     PISSN: 0094243X     EISSN: 15517616     Source Type: Conference Proceeding    
DOI: 10.1063/1.3435403     Document Type: Conference Paper

References (44)

1. J. Goddard, Granular Mat., accepted and to appear (2009).
2. J. Tejchman, Shear Localization in Granular Bodies with Micro-Polar Hypoplasticity, Geomechanics and Geoengineering, Springer, Berlin; Heidelberg, 2008.
3. D. Kolymbas, Introduction to Hypoplasticity, A.A. Balkema, Rotterdam; Brookfield, 2000.
4. H. B. Mühlhaus, Ingenieur Arch. 56, 389-99 (1986).
5. H. Mühlhaus, and I. Vardoulakis, Géotechnique 37, 271-83 (1987).
6. J. Tejchman, and W. Wu, Acta Mech. 99, 61-74 (1993).
7. J. Tejchman, and E. Bauer, Comput. Geotech. 19, 221-44 (1996).
8. W. Huang, K. Nubel, and E. Bauer, Mech. Mat. 34, 563-76 (2002).
9. S. Mohan, K. Rao, and P. R. Nott, J. Fluid Mech. 457, 377-409 (2002).
10. F. Froiio, G. Tomassetti, and I. Vardoulakis, Int. J. Solids Struct. 43, 7684-720 (2006).
11. P. Nott, Acta Mech. 205, 151-60 (2009).
12. E. Bauer, Mech. Cohes.-Frict. Mater. 5, 125-48 (2000).
13. C. Truesdell, and R. A. Toupin, "Principles of classical mechanics and field theory," in Handbuch der Physik, edited by S. Flügge, Springer, Berlin, 1960, vol. 3/1.
14. C. Truesdell, and W. Noll, The non-linear field theories of mechanics, Encyclopedia of Physics, v. III/3, Berlin; New York : Springer-Verlag, 1965.
15. G. Gudehus, Soils Found. (J. Jp. Geo. Soc.) 36, 1-12 (1996).
16. J. D. Goddard, Adv. Coll. Interface Sci. 17, 241-62 (1982).
17. A. C. Pipkin, and R. S. Rivlin, ZAMP 16, 313-26 (1965).
18. G. Gudehus, Powder Tech. 3, 344-51 (1969).
19. D. Kolymbas, Arch. Appl. Mech. 61, 143-51 (1991).
20. W. Wu, E. Bauer, and D. Kolymbas, Mech. Mater. 23, 45-69 (1996).
21. W. Huang, and E. Bauer, Int. J. Num. Anal. Meth. Geomech. 27, 325-52 (2003).
22. E. Bauer, W. Huang, and W. Wu, Int. J. Solids Struct. 41, 5903-19 (2004).
23. R. Hill, Proc. Roy. Soc. A 193, 281-97 (1948).
24. V. C. Prantil, J. T. Jenkins, and P. R. Dawson, J. Mech. Phys. Solids 41, 1357-82 (1993).
25. J. Sun, and S. Sundaresan, "A Plasticity model with microstructure evolution for dense granular flows," in these proceedings, 2009.
26. R. Hill, J. Mech. Phys. Solids 35, 23-33 (1987).
27. J. Ericksen, and C. Truesdell, Arch. Rat. Mech. Anal. 1, 295-323 (1957).
28. R. D. Mindlin, Arch. Ratl. Mech. Anal. 16, 51-78 (1964).
29. S. C. Cowin, Int. J. Solids Struct. 6, 389-98 (1970).
30. C. B. Kafadar, and A. C. Eringen, Int. J. Eng. Sci. 9, 271-305 (1971).
31. J. D. Goddard, "From Granular Matter to Generalized Continuum," in Mathematical models of granular matter, edited by P. Mariano, G. Capriz, and P. Giovine, Springer, Berlin, 2008, vol. 1937 of Lecture Notes in Mathematics, pp. 1-20.
32. P. Giovine, "An Extended Continuum Theory for Granular Media," in Mathematical models of granular matter, edited by P. Mariano, G. Capriz, and P. Giovine, Springer, Berlin, 2008, vol. 1937 of Lecture Notes in Mathematics, pp. 167-92.
33. K.-C. Chen, J.-Y. Lan, and Y.-C. Tai, Int. J. Solids Struct. 46 (2009).
34. W. Pietraszkiewicz, and V. A. Eremeyev, Int. J. Solids Struct. 46, 774-87, 2477-80 (2009).
35. M. M. Mehrabadi, S. C. Cowin, and J. Jaric, Int. J. Solids Struct. 32, 439-49 (1995).
36. J. Park, and W. K. Chung, IEEE Trans. Robotics 21, 850-63 (2005).
37. A. Iserles, H. Z. Munthe-Kaas, S. P. Nørsett, and A. Zanna, Acta num. 9, 215-365 (2000).
38. W. Spring, K, Mech. Machine Theo. 21, 365-73 (1986).
39. O. A. Bauchau, and J.-Y. Choi, Nonlin. Dyn. 33, 165-88 (2003).
40. J. Gallier, and D. Xu, Int. J. Robot. Autom. 17, 1-11 (2002).
41. H. Xiao, O. T. Bruhns, and A. Meyers, Acta Mech. 168, 21-33 (2004).
42. M. D. Shuster, J. Aero. Sci. 41, 439-517 (1993).
43. J. D. Goddard, "A note on the representation of Cosserat rotation," in Continuous Media with Microstructure, edited by B. Albers, Springer, Berlin, 2010, vol. to appear.
44. H. Lippmann, Appl. Mech. Revs. 48, 753-62 (1995).