Skip to main content
Log in

Calibration and validation of a sand model considering the effects of wave-induced principal stress axes rotation

  • Published:
Acta Oceanologica Sinica Aims and scope Submit manuscript

Abstract

Principal stress axes rotation influences the stress-strain behavior of sand under wave loading. A constitutive model for sand, which considers principal stress orientation and is based on generalized plasticity theory, is proposed. The new model, which employs stress invariants and a discrete memory factor during reloading, is original because it quantifies model parameters using experimental data. Four sets of hollow torsion experiments were conducted to calibrate the parameters and predict the capability of the proposed model, which describes the effects of principal stress orientation on the behavior of sand. The results prove the effectiveness of the proposed calibration method.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Chen Yunmin, Lai Xianghua, Ye Yincan, et al. 2005. Wave-induced pore water pressure in marine cohesive soils. Haiyang Xuebao (in Chinese), 24(4): 138–145

    Google Scholar 

  • Cuéllar P, Mira P, Pastor M, et al. 2014. A numerical model for the transient analysis of offshore foundations under cyclic loading. Computers and Geotechnics, 59: 75–86

    Article  Google Scholar 

  • Dewoolkar M M, Chan A H C, Ko H–Y, et al. 2009. Finite element simulations of seismic effects on retaining walls with liquefiable backfills. International Journal for Numerical and Analytical Methods in Geomechanics, 33(6): 791–816

    Article  Google Scholar 

  • Dunn S L, Vun P L, Chan A H C, et al. 2006. Numerical modeling of wave-induced liquefaction around pipelines. Journal of Waterway, Port, Coastal, and Ocean Engineering, 132(4): 276–288

    Article  Google Scholar 

  • Gräbe P J, Clayton C R I. 2014. Effects of principal stress rotation on resilient behavior in rail track foundations. Journal of Geotechnical and Geoenvironmental Engineering, 140(2): 04013010, doi: 10.1061/(ASCE)GT.1943-5606.0001023

    Article  Google Scholar 

  • Ishihara K, Towhata I. 1983. Sand response to cyclic rotation of principal stress directions as induced by wave loads. Soils and Foundations, 23(4): 11–26

    Article  Google Scholar 

  • Jafarian Y, Towhata I, Baziar M H, et al. 2012. Strain energy based evaluation of liquefaction and residual pore water pressure in sands using cyclic torsional shear experiments. Soil Dynamics and Earthquake Engineering, 35: 13–28

    Article  Google Scholar 

  • Jiang Changbo, Cheng Yongzhou, Chang Liuhong, et al. 2012. The numerical study of wave-induced pore water pressure response in highly permeable seabed. Acta Oceanologica Sinica, 31(6): 46–55

    Article  Google Scholar 

  • Konstadinou M, Georgiannou V N. 2013. Cyclic behaviour of loose anisotropically consolidated Ottawa sand under undrained torsional loading. Géotechnique, 63(13): 1144–1158

    Article  Google Scholar 

  • Liang Bingchen, Zhao Hongping, Li Huajun, et al. 2012. Numerical study of three-dimensional wave-induced longshore current’s effects on sediment spreading of Huanghe river mouth. Acta Oceanologica Sinica, 31(2): 129–138

    Article  Google Scholar 

  • Ling H I, Liu Huabei. 2003. Pressure-level dependency and densification behavior of sand through generalized plasticity model. Journal of Engineering Mechanics, 129(8): 851–860

    Article  Google Scholar 

  • Liu Huabei, Zou Degao. 2013. Associated generalized plasticity framework for modeling gravelly soils considering particle breakage. Journal of Engineering Mechanics, 139(5): 606–615

    Article  Google Scholar 

  • Luan Maotian, Xu Chengshun, Guo Ying, et al. 2005. An experimental study on the deformation characteristics of saturated loose sand under coupled static and dynamic combined stress conditions. China Civil Engineering Journal (in Chinese), 38(3): 81–86

    Google Scholar 

  • Manzanal D, Fernández-Merodo J A, Pastor M. 2006. Generalized plasticity theory revisited: new advances and applications. In: Proceeding of 17 th European Young Geotechnical Engineer’s Conference. Zagreb, Croatia, 20–22

  • Manzanal D, Merodo J A F, Pastor M. 2011a. Generalized plasticity state parameter-based model for saturated and unsaturated soils. Part 1: Saturated state. International Journal for Numerical and Analytical Methods in Geomechanics, 35(12): 1347–1362

    Article  Google Scholar 

  • Manzanal D, Pastor M, Merodo J A F. 2011b. Generalized plasticity state parameter-based model for saturated and unsaturated soils. Part II: Unsaturated soil modeling. International Journal for Numerical and Analytical Methods in Geomechanics, 35(18): 1899–1917

    Google Scholar 

  • Mroz Z, Zienkiewicz O C. 1984. Uniform formulation of constitutive equations for clay and sand. In: Deasi C S, Gallangher R H, eds. Mechanics of Engineering Materials. New York: Wiley Press, 415–450

  • Rodriguez N M, Lade P V. 2014. Non-coaxiality of strain increment and stress directions in cross-anisotropic sand. International Journal of Solids and Structures, 51(5): 1103–1114

    Article  Google Scholar 

  • Pan Dongzhi, Wang Lizhong, Pan Cunhong, et al. 2007. Experimental investigation on the wave-induced pore pressure around shallowly embedded pipelines. Haiyang Xuebao (in Chinese), 26(5): 125–135

    Google Scholar 

  • Pastor M, Zienkiewicz O C, Chan A H C. 1990. Generalized plasticity and the modelling of soil behavior. International Journal for Numerical and Analytical Methods in Geomechanics, 14(3): 151–190

    Article  Google Scholar 

  • Pastor M, Zienkiewicz O C, Leung K H. 1985. Simple model for transient soil loading in earthquake analysis: II. Non-associative models for sands. International Journal for Numerical and Analytical Methods in Geomechanics, 9(5): 477–498

    Article  Google Scholar 

  • Peric D, Ayari M A. 2002a. Influence of Lode’s angle on the pore pressure generation in soils. International Journal of Plasticity, 18(8): 1039–1059

    Article  Google Scholar 

  • Peric D, Ayari M A. 2002b. On the analytical solutions for the threeinvariant Cam clay model. International Journal of Plasticity, 18(8): 1061–1082

    Article  Google Scholar 

  • Sassa S, Sekiguchi H. 2001. Analysis of wave-induced liquefaction of sand beds. Géotechnique, 51(2): 115–126

    Article  Google Scholar 

  • Stickle M M, De La Fuente P, Oteo C, et al. 2013. A modelling framework for marine structure foundations with example application to vertical breakwater seaward tilt mechanism under breaking wave loads. Ocean Engineering, 74: 155–167

    Article  Google Scholar 

  • Towhata I, Ishihara K. 1985. Undrained strength of sand undergoing cyclic rotation of principal stress axes. Soils and Foundations, 25(2): 135–147

    Article  Google Scholar 

  • Wei Kuangmin, Zhu Sheng. 2013. A generalized plasticity model to predict behaviors of the concrete-faced rock-fill dam under complex loading conditions. European Journal of Environmental and Civil Engineering, 17(7): 579–597

    Article  Google Scholar 

  • Xiao Junhua, Juang C H, Wei Kai, et al. 2014. Effects of principal stress rotation on the cumulative deformation of normally consolidated soft clay under subway traffic loading. Journal of Geotechnical and Geoenvironmental Engineering, 140(4): 04012046, doi: 10.1061/(ASCE)GT.1943-5606.0001069

    Article  Google Scholar 

  • Xu Chengshun, Luan Maotian, He Yang, et al. 2006. Effect of intermediate principal stress on undrained behavior of saturated loose sands under monotonic shearing. Rock and Soil Mechanics (in Chinese), 27(5): 689–693

    Google Scholar 

  • Yang Zhongxuan, Li X S, Yang J. 2007. Undrained anisotropy and rotational shear in granular soil. Géotechnique, 57(4): 371–384

    Article  Google Scholar 

  • Yoshimine M, Ishihara K, Vargas W. 1998. Effects of principal stress direction and intermediate principal stress on undrained shear behavior of sand. Journal of the Japanese Geotechnical Society: Soils and Foundations, 38(3): 179–188

    Google Scholar 

  • Zienkiewicz O C, Leung K H, Pastor M. 1985. Simple model for transient soil loading in earthquake analysis: I. Basic model and its application. International Journal for Numerical and Analytical Methods in Geomechanics, 9(5): 453–476

    Article  Google Scholar 

  • Zienkiewicz O C, Mroz Z. 1984. Generalized plasticity formulation and applications to geomechanics. In: Deasi C S, Gallangher R H, eds. Mechanics of Engineering Materials. New York: Wiley Press, 655–679

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Zhongtao Wang.

Additional information

Foundation item: The Specialized Research Fund for the Doctoral Program of Higher Education under contract No. 20120041130002; the National Key Project of Science and Technology under contract No. 2011ZX05056-001-02; the Fundamental Research Funds for the Central Universities under contract No. DUT14ZD220.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Liu, P., Wang, Z., Li, X. et al. Calibration and validation of a sand model considering the effects of wave-induced principal stress axes rotation. Acta Oceanol. Sin. 34, 105–115 (2015). https://doi.org/10.1007/s13131-015-0655-2

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s13131-015-0655-2

Keywords

Navigation