Numerical Analysis Characterizing the Influence of the Evolution of the Length Scale on Strain Localization in Cosserat Media
Publication: International Journal of Geomechanics
Volume 12, Issue 3
Abstract
In this paper, on the basis of the micropolar (Cosserat) continua approach, a constitutive model for simulation of granular material (e.g., sand) response in the elastoplastic range has been presented. Numerical analyses on strain localization in this type of material are carried out in the last part of this paper. The influence of the evolution of the internal length-scale micropolar parameters on the formation of strain localization is investigated.
Get full access to this article
View all available purchase options and get full access to this article.
References
Abu, Al-Rub R. K., and Voyiadjis, G. Z. (2004). “Analytical and experimental determination of the material intrinsic length scale of strain gradient plasticity theory from micro—and nano-indentation experiment.” Int. J. Plast., 20(6), 1139–1182.IJPLER
Aifantis, E. C. (1999). “Strain gradient interpretation of size effects.” Int. J. Fract., 95(1-4), 299–314.IJFRAP
Aravas, N. (1987). “On the numerical integration of a class of pressure-dependent plasticity models.” Int. J. Numer. Methods Eng.IJNMBH, 24(7), 1395–1416.
Arslan, H., and Sture, S. (2008). “Evaluation of a physical length scale for granular materials.” Comput. Mater. Sci., 42(3), 525–530.CMMSEM
de Borst, R. (1991). “Simulation of strain localization: A reappraisal of the Cosserat continuum.” Eng. Comput., 8(4), 317–332.ENGCE7
Desai, C. S. (1980). “A general basis for yield, failure and potential functions in plasticity.” Int. J. Numer. Anal. Methods Geomech.IJNGDZ, 4(4), 361–375.
Haque, M. A., and Saif, A. M. T. (2003). “Strain gradient effect in nanoscale thin films.” Acta Mater.ACMAFD, 51, 3053–3061.
Krieg, R. D., and Key, S. W. (1976). “Implementation of a time dependent plasticity theory into structural computer programs.” Constitutive equations in viscoplasticity: Computational and engineering aspects, Stricklin, J. A. and Saczalski, K. J., eds., AMD-20, ASME, New York, 125–137.
Liu, X., Cheng, X. H., Scarpas, A., and Blaauwendraad, J. (2005). “Numerical modelling of nonlinear response of soil. Part 1: Constitutive model.” Int. J. Solids Struct., 42(7), 1849–1881.IJSOAD
Liu, X., Scarpas, A., and Kasbergen, C. (2007). “A micropolar formulation of the Desai hierarchical model for elastoplastic porous media.” Int. J. Solids Struct., 44(9), 2695–2714.IJSOAD
Nix, W. D., and Gao, H. (1998). “Indentation size effects in crystalline materials: A law for strain gradient plasticity.” J. Mech. Phys. Solids, 46(3), 411–425.JMPSA8
Ortiz, M., and Popov, E. P. (1985). “Accuracy and stability of integration algorithms for elastoplastic constitutive relations.” Int. J. Numer. Methods Eng.IJNMBH, 21(9), 1561–1576.
Pamin, J. (1994). “Gradient-dependent plasticity in numerical simulation of localization phenomena.” Ph.D. thesis, Delft Univ. of Technology, Delft, Netherlands.
Simo, J. C., and Hughes, T. J. R. (1998). Computational inelasticity, Springer, New York.
Simo, J. C., and Taylor, R. L. (1986). “A return mapping algorithm for plane stress elastoplasticity.” Int. J. Numer. Methods Eng.IJNMBH, 22(3), 649–670.
Tsagrakis, I., and Aifantis, E. C. (2002). “Recent developments in gradient plasticity—Part I: Formulation and size effects.” J. Eng. Mater. Technol., 124(3), 352–357.JEMTA8
Voyiadjis, G. Z., Alsaleh, M. I., and Alshibli, K. A. (2005). “Evolving internal length scales in plastic strain localization for granular materials.” Int. J. Plast., 21(10), 2000–2024.IJPLER
Wilkins, M. L. (1964). “Calculation of elastic-plastic flow.” Methods of computational physics 3, Alder, B. et al., eds., Academic, New York.
Zbib, H. M., and Aifantis, E. C. (2003). “Size effects and length scales in gradient plasticity and dislocation dynamics.” Scr. Mater., 48(2), 155–160.SCMAF7
Information & Authors
Information
Published In
International Journal of Geomechanics
Volume 12 • Issue 3 • June 2012
Pages: 272 - 280
Copyright
© 2012. American Society of Civil Engineers.
History
Received: Sep 13, 2010
Accepted: May 19, 2011
Published online: May 23, 2011
Published in print: Jun 1, 2012
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.