Finite element methods for micropolar models of granular materials

Applied Mathematical Modelling

Volumn 30, Issue 10, 2006, Pages 1043-1055

  Walsh, S D C ^a   Tordesillas, A ^a  

^a UNIVERSITY OF MELBOURNE   (Australia)

Author keywords

Finite element method; Granular material; Micropolar media; Thermomechanics

Indexed keywords

BOUNDARY VALUE PROBLEMS; DEFORMATION; DEGREES OF FREEDOM (MECHANICS); ELASTOPLASTICITY; FINITE ELEMENT METHOD; GALERKIN METHODS; MATHEMATICAL MODELS; RHEOLOGY; THERMODYNAMICS;

MICROPOLAR CONTINUA; MICROPOLAR MEDIA; MICROPOLAR MODELS; THERMOMECHANICS;

GRANULAR MATERIALS;

BOUNDARY VALUE PROBLEMS; DEFORMATION; DEGREES OF FREEDOM (MECHANICS); ELASTOPLASTICITY; FINITE ELEMENT METHOD; GALERKIN METHODS; GRANULAR MATERIALS; MATHEMATICAL MODELS; RHEOLOGY; THERMODYNAMICS;

EID: 33745750455     PISSN: 0307904X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.apm.2005.05.016     Document Type: Article

References (17)

1. Lakes R. Experimental micro mechanics methods for conventional and negative poisson ratio cellular solids as cosserat continua. J. Eng. Mater. Technol. (Trans. ASME) 113 1 (1991) 148-155
2. Gardiner B.S., and Tordesillas A. The link between discrete and continuous modelling of liquid foam at the level of a single bubble. J. Rheol. 49 (2005) 808-819
3. Onck P.R. Cosserat modeling of cellular solids. Comptes Rendus Mecanique 330 11 (2002) 717-722
4. Tordesillas A., and Walsh S.D.C. Incorporating rolling resistance and contact anisotropy in micromechanical models of granular media. Powder Technol. 124 (2002) 106-111
5. Duran J. Sands, Powders and Grains (2000), Springer-Verlag, New York
6. Chow T.S. Mesoscopic Physics of Complex Materials (2000), Springer-Verlag, New York
7. Lubliner J. Plasticity Theory (1990), Macmillan Publishing Company, New York
8. Walsh S.D.C., and Tordesillas A. A thermomechanical approach to the development of micropolar constitutive models of granular media. Acta Mech. 167 3-4 (2004) 145-169
9. Tordesillas A., and Walsh S.D.C. Analysis of deformation and localization in thermomicromechanical Cosserat models of granular media. In: Garca-Rojo R., Herrmann H.J., and McNamara S. (Eds). Powders and Grains 05 1 (2005), A.A. Balkema, Rotterdam 419-424
10. Ziegler H. An Introduction to Thermomechanics. second ed. (1983), Amsterdam, North Holland
11. Collins I.F., and Houlsby G.T. Applications of thermomechanical principles to the modeling of geotechnical materials. Proc. R. Soc. London, Ser. A 453 (1997) 1975-2001
12. Houlsby G.T., and Puzrin A.M. A thermomechanical framework for constitutive models for rate-independent dissipative materials. Int. J. Plasticity 16 (2000) 1017-1047
13. Ehlers W., and Volk W. On shear band localization phenomena of liquid-saturated granular elastoplastic porous solid materials accounting for fluid viscosity and micropolar solid rotations. Mech. Cohes.-Frict. Mater. 2 (1997) 301-320
14. Adhikary D.P., and Dyskin A.V. A continuum model of layered rock masses with non-associative joint plasticity. Int. J. Numer. Anal. Meth. Geomech. 22 (1998) 245-261
15. Biarez J., and Taibi S. From Grains to a Continuum: Experiments to Check Codes-CDROM (1998), Kodak, France
16. Tejchman J., Herle I., and Wehr J. FE-studies on the influence of initial void ratio, pressure level and mean grain diameter on shear localization. Int. J. Numer. Anal. Meth. Geomech. 23 (1999) 2045-2074
17. Oda M., and Kazama H. Microstructure of shear bands and its relation to the mechanisms of dilatancy and failure of dense granular soils. Geotechnique 48 4 (1998) 465-481