Construction of an averaged stress tensor for a granular medium

European Journal of Mechanics, A/Solids

Volumn 22, Issue 4, 2003, Pages 567-582

  Fortin, J ^a   Millet, O ^b   De Saxce G ^b  

^a UNIVERSITÉ DE PICARDIE JULES VERNE   (France)

^b UNIV LILLE   (France)

Author keywords

Averaged stress tensor; Contact dynamics; Granular materials; Homogenization

Indexed keywords

COMPUTER SIMULATION; CONTINUUM MECHANICS; GRANULAR MATERIALS; MATHEMATICAL MODELS; METHOD OF MOMENTS; NUMERICAL METHODS; TENSORS;

AVERAGE STRESS TENSORS; CONTACT DYNAMICS; DISCRETE FORCES; HOMOGENIZATION;

STRESS ANALYSIS;

EID: 2942521613     PISSN: 09977538     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0997-7538(03)00054-8     Document Type: Article

References (15)

1. Bardet J.B., Vardoulakis I. The asymmetry of stress in granular media. Int. J. Solids Structures. 38:2001;353-367.
2. Cambou B., Jean M. Micromécanique des matériaux granulaires. 2001;Hermès Science, Paris.
3. Bensoussan A., Lion J.P., Papanicolau G. Asymptotic Analysis for Periodic Structures. 1978;North-Holland.
4. Caillerie D., 1991. Tenseur des contraintes dans un milieu granulaire. Rapport du G.R.E.C.O. géomatériaux.
5. Cambou B., Dubujet P., Emeriault F., Sidoroff F. Homogeneization for granular materials. Eur. J. Mech. A Solids. 14:(2):1995;255-276.
6. Chree C. Changes in the Dimension of Elastic Bodies Due to Given Systems of Forces, Cambridge Phil. Soc. Trans., Vol. 15. 1892;. pp. 313-337.
7. De Saxcé G. Une généralisation de l'inégalité de Fenchel et ses applications aux lois constitutives. C. R. Acad. Sci. Paris, Ser. II. 314:1992;125-129.
8. De Saxcé G., Feng Z.-Q. The bipotentiel method: a constructive approach to design the complete contact law with friction and improved numerical algorithms. Math. Comput. Modelling. 28:(4-8):1998;225-245.
9. Fortin J., de Saxcé G. Modélisation numérique des milieux granulaires par l'approche du bipotentiel. C. R. Acad. Sci. Paris, Ser. IIb. 327:1999;721-724.
10. Gurtin M.E. The linear theory of elasticity. Flügge. Encyclopedia of Physics, Vol. VIa/2. 1972;Springer-Verlag, Berlin.
11. Moreau J.-J. Some numerical methods in multibody dynamics: application to granular materials. Eur. J. Mech. A Solids. 13:(4):1994;93-114.
12. Moreau J.-J. Numerical investigation of shear zones in granular materials. Grassberger P., Wolf D. Contact Dynamics, Proc. HLRZ-Workshop on Friction, Arching. 1997;233-247 World Scientific, Singapore.
13. Sanchez-Palencia E. Non-Homogeneous Media and Vibration Theory. 1980;Springer-Verlag.
14. Signorini A. Sollecitazioni Iperastatiche. Rend. Inst. Lombardo. 2:(65):1932;1-7.
15. Weber J., 1966. Recherches concernant les contraintes intergranulaires dans les milieux pulvérulents. Bul. liaison P. et Ch. n°, juilet-août.