Eur. Phys. J. AP 10, 53-65 (2000)
https://doi.org/10.1051/epjap:2000119

Dynamic viscoplastic approach for strain localization in a sandstone

GRMS, ENSET, B.P. 1872, Douala, Cameroun

Received: 26 October 1999
Accepted: 20 January 2000
Published online: 15 April 2000

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.