Plastic Flow Potential for Cone Region of MRS-Lade Model
Publication: Journal of Engineering Mechanics
Volume 125, Issue 3
Abstract
The original formulation of the MRS-Lade model, with nonassociated flow rule on the meridian plane in the cone region, has a corner. In order to reduce the computational effort of corner solution algorithms, a modified plastic flow potential for the cone part is found in the literature. This modification may have a nonadmissible flip over of the flow vector in the cone-cap intersection if the plastic flow potential is not correctly defined. Here a corrected plastic flow potential for the cone region is defined to obtain a continuous transition of the flow vector.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Alawaji, H., Runesson, K., and Sture, S. ( 1992). “Implicit integration in soil plasticity under mixed control for drained and undrained response.” Int. J. Numer. and Analytical Methods in Geomech., 16, 737–756.
2.
Crisfield, M. A. ( 1991). Non-linear finite element analysis of solids and structures. Vol. 1: Essentials. Wiley, New York.
3.
Crisfield, M. A. ( 1997). Non-linear finite element analysis of solids and structures. Vol. 2: Advanced topics. Wiley, New York.
4.
Etse, G., and Willam, K. (1994). “Fracture energy formulation for inelastic behavior of plain concrete.”J. Engrg. Mech., ASCE, 120(9), 1983–2011.
5.
Hofstetter, G., Simo, J. C., and Taylor, R. L. ( 1993). “A modified cap model: Closest point solution algorithms.” Comp. and Struct., 46(2), 203–214.
6.
Jeremić, B., and Sture, S. ( 1994). “Implicit integrations rules in plasticity: Theory and implementation.” Tech. Rep. to NASA Marshall Space Flight Center. Contract: NAS8-38779, University of Colorado at Boulder, Boulder, Colo.
7.
Jeremić, B., and Sture, S. ( 1997). “Implicit integrations in elastoplastic geotechnics.” Mechanics of Cohesive-Frictional Materials, 2, 165–183.
8.
Khan, A. S., and Huang, S. ( 1995). Continuum theory of plasticity. Wiley, New York.
9.
Kim, M. K., and Lade, P. V. ( 1988). “Single hardening constitutive model for frictional materials. I. Plastic potential function.” Comp. and Geotech., 5, 307–324.
10.
Lade, P. V. ( 1989). “Experimental observations of stability, and shear planes in granular materials.” Ingenieur Arquiv, 59, 114–123.
11.
Lade, P. V. ( 1994). “Instability and liquefaction of granular materials.” Comp. and Geotech., 16, 123–151.
12.
Lade, P. V., and Duncam, J. M. (1975). “Elastoplastic stress-strain theory for cohesionless soil.”J. Geotech. Engrg., ASCE, 101(10), 1037–1053.
13.
Lade, P. V., and Kim, M. K. ( 1988). “Single hardening constitutive model for frictional materials. III. Comparisons with experimental data.” Comp. and Geotech., 6, 31–47.
14.
Larsson, R., and Runesson, K. ( 1996). “Implicit integration and consistent linearization for yield criteria of the Mohr-Coulomb type.” Mech. of Cohesive-Frictional Mat., 1, 367–383.
15.
Lubliner, J. ( 1990). Plasticity theory. Macmillan, New York.
16.
Macari-Pasqualino, E. J., Runesson, K., and Sture, S. (1987). “Response prediction of granular materials at low effective stresses.”J. Geotech. Engrg., ASCE, 120(7), 1252–1268.
17.
Macari, E. J., Weihe, S., and Arduino, P. ( 1997). “Implicit integration of elastoplastic constitutive models for frictional materials with highly non-linear hardening functions.” Mech. of Cohesive-Frictional Mat., 2, 1–29.
18.
Nova, R., and Wood, D. M. ( 1979). “A constitutive model for sand in triaxial compression.” Int. J. Numer. and Analytical Methods in Geomech., 3, 255–278.
19.
Ortiz, M., and Popov, E. P. ( 1985). “Accuracy and stability of integration algorithms for elastoplastic constitutive relations.” Int. J. Numer. Methods in Engrg., 21, 1561–1576.
20.
Pramono, E., and Willam, K., (1989a) (1989a). “Fracture energy-based placticity formulation of plain concerete.”J. Engrg. Mech., 115(6), 1183–1204.
21.
Pramono, E., and Willam, K. ( 1989b). “Implicit integration of composite yield surfaces with corners.” Engrg. Computations, 6, 186–197.
22.
Runesson, K. ( 1987). “Implicit integration of elastoplastic relations with reference to soils.” Int. J. Numer. and Analytical Methods in Geomech., 11, 315–321.
23.
Runesson, K., Sture, S., and Willam, K. ( 1988). “Integration in computational plasticity.” Comp. and Struct., 30(1/2), 119–130.
24.
Simo, J. C., Kennedy, J. G., and Govindjee, S. ( 1988). “Non-smooth multi-surface plasticity and viscoplasticity. Loading/unloading conditions and numerical algorithms.” Int. J. Numer. Methods in Engrg., 26, 2161–2185.
25.
Simo, J. C., and Taylor, R. L. ( 1985). “Consistent tangent operators for rate-independent elastoplasticity.” Comp. Methods in Appl. Mech. and Engrg., 48, 101–118.
26.
Sture, S., Runesson, K., and Macari-Pasqualino, E. J. ( 1989). “Analysis and calibration of a three-invariant plasticity model for granular materials.” Ingenieur Arquiv, 59, 253–266.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 125 • Issue 3 • March 1999
Pages: 364 - 366
History
Published online: Mar 1, 1999
Published in print: Mar 1999
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.