Abstract
The behavior of soil-structure interface plays a major role in the definition of soil-structure interaction. In this paper a bi-potential surface elasto-plastic model for soil-structure interface is proposed in order to describe the interface deformation behavior, including strain softening and normal dilatancy. The model is formulated in the framework of generalized potential theory, in which the soil-structure interface problem is regard as a two-dimensional mathematical problem in stress field, and plastic state equations are used to replace the traditional field surface. The relation curves of shear stress and tangential strain are fitted by a piecewise function composed by hyperbolic functions and hyperbolic secant functions, while the relation curves of normal strain and tangential strain are fitted by another piecewise function composed by quadratic functions and hyperbolic secant functions. The approach proposed has the advantage of deriving an elastoplastic constitutive matrix without postulating the plastic potential functions and yield surface. Moreover, the mathematical principle is clear, and the entire model parameters can be identified by experimental tests. Finally, the predictions of the model have been compared with experimental results obtained from simple shear tests under normal stresses, and results show the model is reasonable and practical.
Similar content being viewed by others
References
Clough, G.W. and Duncan, J.M., Finite element analysis of retaining wall behavior. Journal of Soil Mechanics and Foundation Engineering Division, ASCE, 1971, 97(12): 1657–1673.
Desai, C.S., Drumm, E.C. and Zaman, M.M., Cyclic testing and modeling of interface. Journal of Geotechnical engineering, ASCE, 1985, 111(6): 793–815.
Lu, T.H. and Bao, F.B., A coupled constitutive model for interface thin-layer element. Hydraulic Engineering, 2000, 2: 71–75.
Wang, W., Study on soil-structure interface model based on the potential energy dissipating principle and its application [Ph.D. dissertation]. Nanjing: Hohai University, 2006.
Wang, W., Lu, T.H. and Sun, B.X., Mathematical model of shear stress-strain relationship of soil-concrete interface during shear fracture. Key Engineering Materials, 2007, (348–349): 881–884.
Desai, C.S. and Ma, Y., Modelling of joints and interfaces using the disturbed-state concept. Journal or Numerical and Analysis Methods in Geomechanics, 1992, (16): 623–653.
Hu, L.M., The mechanical characteristics of soil and structure interface and its engineering application [Ph.D. dissertation]. Beijing: Tsinghua University, 2000.
Zhang, G., Monotonic and cyclic mechanical characteristics and damage theory of the interface between structure and coarse grained soil [Ph.D. dissertation]. Beijing: Tsinghua University, 2002.
Zhang, G. and Zhang, J.M., Load-induced damage of the interface between structure and coarse grained soil. Acta Mechanica Sinica, 2004, 36(3): 322–327.
Zhang, G. and Zhang, J.M., Elastoplastic damage model of soil-structure interface in single pile-soil interaction analysis. Engineering Mechanics, 2006, 23(2): 72–77.
Boulon, M. and Nova, R., Modelling of soil-structure interface behavior: a comparison between elasto- plastic and rate type laws. Computers and Geotechnics, 1990, (9): 21–26.
Gennaro, V. and Frank, R., Elasto-plastic analysis of the interface behavior between granular media and structure. Computers and Geotechnics, 2002, 29: 547–572.
Ghionna, V.N. and Mortar, G., An elastoplastic model for sand-structure interface behavior. Geotechnique, 2002, 52(1): 41–50.
Liu, H.B., Song, E.X. and Ling, H.I., Constitutive modeling of soil-structure interface through the concept of critical state soil mechanics. Mechanics Research Communications, 2006, 33: 515–531.
Sun, J.Z. and Wang, Y., Constitutive model of calcareous sand structure interface. Chinese Quarterly of Mechanic, 2006, 27(3): 476–480.
Yin, Z.Z., Zhu, H. and Xu, G.H., Numerical simulation of the deformation in the interface between soil and structural material. Chinese Journal of Geotechnical Engineering, 1994, 16(3): 14–22.
Luan, M.T. and Wu, Y.J., A nonlinear elasto-perfectly plastic model of interface element for soil-structure interaction and its applications. Rock and Soil Mechanics, 2004, 25(4): 507–513.
Yang, G.H., Building the generalized plastic potential theory in constitutive relation of soils. In: Proceedings of the 3th National Conference on the Numerical Analysis and Analytical Method for Rock and Soil Mechanics, Zhuhai, 1988: 140–148.
Yang, G.H., The Multi-potential constitutive theory of elasto-plasticity for the soil and rock materials. Chinese Journal of Geotechnical Engineering, 1991, 13(5): 99–107.
Yang, G.H., A new strain space elasto-plastic constitutive model for soils. In: Proceedings of second international conference on soft soil engineering, Nanjing: Hohai University Press, 1996: 255–262.
Yang, G.H., Mathematical theory and application of the constitutive model of soils [Ph.D. dissertation]. Beijing: Tsinghua University, 1998.
Yang, G.H., Jie, Y.X. and Li, G.X., Multi-potential surface model for soils and its verification. Chinese Journal of Geotechnical Engineering, 1999, 21(5): 578–582.
Yang, G.H. and Li, G.X., Mathematical foundation of constitutive models of geotechnical material and generalized potential theory. Rock and Soil Mechanics, 2002, 23(5): 531–535.
Yang, G.H. and Li, G.X., Constitutive theory of soils based on the generalized potential theory. Chinese Journal of Geotechnical Engineering, 2007, 29(4): 594–597.
Shen, Z.J., A nonlinear dilatant stress-strain model for soils and rock materials. Hydro-Science and Engineering, 1986, 4: 1–14.
Wang, P.C., Zhu, X.R. and Fang, P.F., Expansion of large strain spherical cavity in soil in consideration of dilation and strain softening. Shuili Xuebao, 2004, 9: 78–82.
Author information
Authors and Affiliations
Corresponding author
Additional information
Project supported by the National Natural Science Foundation of China and Yalona River Hydropower Development of Ertan Hydropower Development Company (No.50639050).
Rights and permissions
About this article
Cite this article
Zhou, A., Lu, T. Elasto-plastic constitutive model of soil-structure interface in consideration of strain softening and dilation. Acta Mech. Solida Sin. 22, 171–179 (2009). https://doi.org/10.1016/S0894-9166(09)60102-6
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1016/S0894-9166(09)60102-6