Hostname: page-component-7dd5485656-jtdwj Total loading time: 0 Render date: 2025-10-31T23:21:32.784Z Has data issue: false hasContentIssue false
  • English
  • Français

Dynamic viscoplastic approach for strain localization in a sandstone

Published online by Cambridge University Press:  15 April 2000

N. G. Diouta
N. G. Diouta*
Affiliation:
GRMS, ENSET, B.P. 1872, Douala, Cameroun
Get access

Abstract

In this paper, the viscoplastic regularization method is used to simulate strain localization in a compressed prismatical sample of Fontainebleau sandstone. First of all, the limits of Rice's formalism concerning the prediction of the localization band width and the post-bifurcation treatment are recalled. Then the theoretical aspects of the viscoplastic regularization method is reviewed. The non-objectivity or mesh-sensitivity of the solution is pointed out when a simple plastic model without viscosity is used. Finally, a fictitious viscosity parameter in the form of relaxation time is introduced in the model and regularizes the problem.

Keywords

Information

Type
Research Article
Information
The European Physical Journal - Applied Physics , Volume 10 , Issue 1 , April 2000 , pp. 53 - 65
Copyright
© EDP Sciences, 2000

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Article purchase

Temporarily unavailable

References

Ortiz, M., Leroy, Y., Needelman, A., Comp. Methods Appl. Mech. Eng. 61, 189 (1987). CrossRef
Leroy, Y., Ortiz, M., Int. J. Num. Anal. Meth. Geomech. 13, 53 (1989). CrossRef
Belytschko, T., Fish, J., Bayliss, A., Comp. Methods Appl. Mech. Eng. 81, 71 (1990). CrossRef
Habraken, A.M., Cescotto, S., Int. J. Num. Meth. Eng. 30, 1503 (1990). CrossRef
R. Charlier, Modelling of shear band localization using interface finite elements, Proc. Numog IV, Swansea, 1992.
Bazant, Z.P., Belytschko, T.B., Chang, T.P., J. Eng. Mech. 110, 1666 (1984). CrossRef
Pijaudier-Cabot, G., Bazant, Z.P., J. Eng. Mech. 113, 1512 (1986). CrossRef
Triantafyllidis, N., Aifantis, E.C., J. Elast. 16, 225 (1986). CrossRef
Papanastasiou, P.C., Vardoulakis, I.G., Int. J. Num. Anal. Meth. Geomech. 16, 389 (1992). CrossRef
Loret, B., Prevost, J.H., Comp. Meth. Appl. Mech. Eng. 83, 275 (1990). CrossRef
P. Underwood, Dynamic relaxation, in Comp. Meth. Trans. Anal., edited by T. Belytschko, T.J.R. Hughes (North Holland, Dordrecht, 1993), Chap. 5, pp. 245-265.
Zienkiewicz, O.C., Löhner, R., Int. J. Num. Mech. Eng. 21, 1 (1985). CrossRef
O.C. Zienkiewicz, R.L. Taylor, The finite element method, Volume 2, Solid and Fluid Mechanics, Dynamic and Non-linearity, 4th edition (McGraw-Hill Book Company, 1989).
X. Wang, Modélisation numérique des problèmes avec localisation de la déformation en bandes de cisaillement, Thèse de doctorat, Université de Liège, Belgique, 1993.
Needelman, A., Comp. Meth. Appl. Mech. Eng. 67, 69 (1988). CrossRef
Needelman, A., J. Appl. Mech. 56, 1 (1989). CrossRef
D.J.R. Owen, E. Hinton, Finite elements in plasticity: Theory and practice (Pinaridge press limited, 1987).
Loret, B., Prevost, J.H., Comp. Meth. Appl. Mech. Eng. 83, 247 (1990). CrossRef
Hughes, T.J.R., Liu, W.K., J. Appl. Mech. 45, 371 (1978). CrossRef
T.J.R. Hughes, The finite element method (Prentice-Hall, Englewood Cliffs, NJ, 1987).
Cormeau, I., Int. J. Num. Meth. Eng. 9, 109 (1975). CrossRef
Brickstad, B., J. Mech. Phys. Solids 31, 307 (1983). CrossRef
Moran, B., Comp. Struct. 27, 241 (1987). CrossRef
Pierce, D., Shih, C.F., Needelman, A., Comp. Struct. 18, 875 (1984). CrossRef
Diouta, N.G., Kondo, D., Shao, J.F., Eur. Phys. J. AP 8, 179 (1999). CrossRef
Rudnicki, J.W., Rice, J.R., J. Mech. Phys. Solids 23, 371 (1975). CrossRef
Sulem, J., Vardoulakis, I.G., Papamichos, E., Geotech. Eng. Hard Soils - Soft Rocks 2, 1663 (1993).
Simo, J.C., Kennedy, J.G., Govindjee, S., Hughes, T.J.R., Unconditionnally convergent algorithms for non-smooth multi-surface plasticity amenable to exact linearization, 1987, edited by J. Sulem, I.G. Vardoulakis, E. Papamichos, Geoth. Eng. Hard Solids - Soft Rocks 2, 1663 (1993).
A. Haied, D. Kondo, J.P. Henry, Experimental detection of shear bands in a sandstone, Assessment and Prevention of failure phenomenon in rock engineering, 1993, pp. 149-154.