An automatic time increment selection scheme for simulation of elasto-viscoplastic consolidation of clayey soils

Karim, M.R. and Oka, F. (2010) An automatic time increment selection scheme for simulation of elasto-viscoplastic consolidation of clayey soils. Geomechanics and Geoengineering, 5 (3). pp. 153-177. ISSN 1748-6025

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Abstract

An automatic time increment selection scheme for numerical analysis of long-term response of geomaterials is presented. The scheme is simple, rational and stable. Governed by a simple empirical expression, it can adaptively adjust the time increments depending on the strain rate-dependent temporal history of the material response. The proposed expression requires only a few parameters whose selection is a trivial task since they have a small effect on accuracy but have a significant effect on computational efficiency. This generalization has been made possible because of the enforcement of certain predefined control criteria to avoid extreme conditions. If any of the control criteria is satisfied, the computation is restarted by going a few time steps back to ensure the smoothness of the computed responses and time increments are again continuously adjusted through the governing equation provided. Performance of the automatic time increment selection scheme is investigated through finite element analyses of the long-term consolidation response of clay under different geotechnical profiles and loading conditions. Both elastic and elasto-viscoplastic constitutive relations are considered, including the consideration of the destructuration effects of geomaterials. Numerical results show that the performance of the automatic time increment selection scheme is reasonably excellent. While offering reasonable accuracy of the numerical solution, it can ensure temporal stability at optimal computational efficiency. In addition to the Euler implicit method, the automatic time increment selection scheme also performs well even when the explicit fourth-order Runge-Kutta method is employed for the integration of time derivatives.

Item Type: Article
Additional Information: Cited By (since 1996):2 Export Date: 16 December 2013 Source: Scopus Language of Original Document: English Correspondence Address: Oka, F.; Department of Civil and Earth Resources Engineering, Graduate School of Engineering, Kyoto University, Katsura C Campus, Nishikyo-ku, Kyoto 615-8540, Japan; email: oka.fusao.2s@kyoto-u.ac.jp References: Adachi, T., Oka, F., Constitutive equations for normally consolidated clay based on elasto-viscoplasticity (1982) Soils and Foundations, Japanese Geotechnical Society, 22 (4), pp. 55-70; Adachi, T., Oka, F., Constitutive equations for sands and overconsolidated clays and assigned works for sand (1984) Proceedings of International Workshop On Constitutive Relations For Soils, pp. 141-157. , G. Gudehus, F. Darve, and I. Vardoulakis, eds, Grenoble: Balkema; Bathe, K.J., (1996) Finite Element Procedures, , New Jersey: Prentice Hall; Biot, M.A., General theory of three-dimensional consolidation (1941) Journal of Applied Physics, 12, pp. 155-164; Brenan, K.E., Campbell, S.L., Petzold, L.R., (1989) Numerical Solution of Initial Value Problems In Differential-Algebraic Equations, , New York: North Holland; Butcher, J.C., (1987) The Numerical Analysis of Ordinary Differential Equations. RUnge-KUtta and General Linear Methods, , New York: John Wiley; Diebels, S., Ellsiepen, P., Ehlers, W., Error-controlled Runge-Kutta time integration of a viscoplastic hybrid two-phase model (1999) Technische Mechanik, 19, pp. 19-27; Ehlers, W., Ellsiepen, P., Ammann, M., Time- and space-adaptive methods applied to localization phenomena in empty and saturated micropolar and standard porous materials (2001) International Journal For Numerical Methods In Engineering, 52, pp. 503-526; Flanagan, D.P., Belytschko, T., Eigenvalues and stable time steps for the uniform strain hexahedron and quadrilateral (1984) Journal of Applied Mechanics, 51, pp. 35-40; Gear, C.W., (1971) Numerical Initial Value Problems In Ordinary Differential Equations, , New York: Prentice Hall; Hongyi, Y., A local space-time adaptive scheme in solving two-dimensional parabolic problems based on domain decomposition methods (2001) SIAM Journal On Scientific Computing, 23 (1), pp. 304-322; Kabbaj, M., Tavenas, F., Leroueil, S., In situ and laboratory stress-strain relationships (1988) Géotechnique, 38 (1), pp. 83-100; Karim, M.R., (2006) Simulation of Long-term Consolidation Behavior of Soft Sensitive Clay Using An Elasto-viscoplastic Constitutive Model, , Thesis (PhD). Kyoto University, Japan; Kimoto, S., (2002) Constitutive Models For Geomaterials Considering Structural Changes and Anisotropy, , Thesis(PhD). KyotoUniversity, Japan; Kimoto, S., Oka, F., An elasto-viscoplastic model for clay considering destructuralization and consolidation analysis of unstable behavior (2005) Soils and Foundations, 45 (2), pp. 29-42; Kimoto, S., Oka, F., Higo, Y., Strain localization analysis of elasto-viscoplasticsoil considering structural degradation (2004) Computer Methods In Applied Mechanics and Engineering, 193, pp. 2845-2866; Leveque, R., (1992) Numerical Methods For Conservation Laws, , New York: Birkhauser Verlag; Matthew, W.F., Christopher, E.K., Cass, T.M., Mixed finite element methods and higher order temporal approximations for variably saturated groundwater flow (2003) Advances In Water Resources, 26, pp. 373-394; Mesri, G., Choi, Y.K., Settlement analysis of embankments on soft clay (1985) Journal of Geotechnical Engineering Division, ASCE, 111 (4), pp. 441-464; Oka, F., Adachi, T., Okano, Y., Two-dimensional consolidation analysis using an elasto-viscoplastic constitutive equation (1986) International Journal For Numerical and Analytical Methods In Geomechanics, 10, pp. 1-16; Oka, F., Tavenas, F., Leroueil, S., An elasto-viscoplastic FEM analysis of sensitive clay foundation beneath embankment (1991) Computer Method and Advances In Geomechanics, 2, pp. 1023-1028. , In: G. Beer, J.R. Booker, and J.P. Carter, eds., Brookfield: Balkema; Perzyna, P., The constitutive equations for work-hardening and rate sensitive plastic materials (1963) Proceedings of Vibrational Problems, Warsaw, 4 (3), pp. 281-290; Sandhu, R.S., Liu, H., Singh, K.J., Numerical performance of some finite element schemes for analysis of seepage in porous elastic media (1977) International Journal For Numerical and Analytical Methods In Geomechanics, 1, pp. 177-194; Sandhu, R.S., Wilson, E.L., Finite element analysis of seepage in elastic medium (1969) Journal of the Engineering Mechanics Division, ASCE, 95, pp. 641-651; Sheng, D., Sloan, S.W., Time stepping schemes for coupled displacement and pore pressure analysis (2003) Computational Mechanics, 31, pp. 122-134; Sloan, S.W., Abbo, A.J., Biot consolidation analysis with automatic time stepping and error control, part 1: Theory and implementation (1999) International Journal For Numerical and Analytical Methods In Geomechanics, 23, pp. 467-492; Sloan, S.W., Abbo, A.J., Biot consolidation analysis with automatic time stepping and error control, part 2: Applications (1999) International Journal For Numerical and Analytical Methods In Geomechanics, 23, pp. 493-529; Soderlind, G., Automatic control and adaptive time-stepping (2002) Numerical Algorithms, 31, pp. 281-310; Terzaghi, K., Peck, R.B., (1976) Soil Mechanics In Engineering Practice, , New York: John Wiley; Valli, A.M.P., Carey, G.F., Coutinho, A.L.G.A., Control strategies for timestep selection in simulation of coupled viscous flow and heat transfer (2002) Communications In Numerical Methods In Engineering, 18 (2), pp. 131-139; Valli, A.M.P., Coutinho, A.L.G.A., Carey, G.F., Adaptive stepsize control strategies in finite element simulation of 2D Rayleigh-Benard-Marangoni flows (1999) 15th Brazilian Congress On Mechanical Sciences, AI Guas De LindoIia: Brazil, 1, pp. 1-10; Verruijt, A., Elastic storage of aquifers (1969) Flow Through Porous Media, pp. 331-376. , In: J. Rogerand M. Wies, eds, New York: Academic Press; Wang, J.G., Liu, G.R., Wu, Y.G., A point interpolation method for simulating dissipation process of consolidation (2001) Computer Methods In Applied Mechanics and Engineering, 190, pp. 5907-5922
Uncontrolled Keywords: Consolidation, Elasto-viscoplasticity, Finite element methods, Time increments, clay soil, computer simulation, elastoplasticity, finite element method, geotechnical property, loading, mathematical analysis, strain rate, viscoplasticity,
Subjects: T Technology > TA Engineering (General). Civil engineering (General)
Divisions: Faculty of Engineering
Depositing User: Mr Jenal S
Date Deposited: 20 Mar 2014 02:28
Last Modified: 20 Mar 2014 02:28
URI: http://eprints.um.edu.my/id/eprint/8784

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