Fractional Order Plastic Model for Sand under Triaxial Compressive and Extensive Loads

CHEN Chen

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Fractional Order Plastic Model for Sand under Triaxial Compressive and Extensive Loads

更新时间：2025-09-25

- Fractional Order Plastic Model for Sand under Triaxial Compressive and Extensive Loads
- Issue 3, Pages: 380-386(2020)
- 作者机构：
  
  河海大学教育部岩土力学与堤坝工程教育部重点实验室,江苏,南京,210098
- 作者简介：
- 基金信息：
- DOI：
  CLC： TU443
- Published：2020
- 稿件说明：
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陈晨,孙逸飞,宋顺翔.砂土三轴压缩和拉伸行为的分数阶塑性模型∗[J].防灾减灾工程学报,2020,(3):380-386

CHEN Chen. Fractional Order Plastic Model for Sand under Triaxial Compressive and Extensive Loads[J]. 2020, (3): 380-386.
陈晨,孙逸飞,宋顺翔.砂土三轴压缩和拉伸行为的分数阶塑性模型∗[J].防灾减灾工程学报,2020,(3):380-386 DOI：

CHEN Chen. Fractional Order Plastic Model for Sand under Triaxial Compressive and Extensive Loads[J]. 2020, (3): 380-386. DOI：

摘要

实际工程中的砂土等粗粒土往往不仅会受到压缩剪切作用，还有可能受到拉伸剪切作用。但是，目前所建立的分数阶塑性力学模型，仅考虑了砂土的压缩剪切行为；对于砂土的拉伸剪切行为，还有待进一步验证。运用广义分数阶微分定义，提出了一个修正的剪胀方程，并基于此建立了一个可以描述砂土三轴压缩和拉伸行为的分数阶塑性力学模型。选取不同砂土的三轴压缩和拉伸试验数据，对模型进行了验证，结果表明，模型可以合理的对砂土在压缩和拉伸条件下的应力应变行为进行预测。

Abstract

Granular soils such as sand are often subjected to compressive shearing as well as extensive shearing in practical engineering. However

existing fractional models only consider the triaxial compressive behavior of sand and further model verification for the triaxial extensive behavior of sand needs to be conducted. Thus

a modified stress-dilatancy equation by using general definition of the fractional derivatives is proposed. Then

a fractional order plasticity model for sand subjected to triaxial compression and extension is developed. To validate the proposed model

the results of a series of triaxial compressive and extensive tests on different sands are simulated

from which it is found that the proposed model can reasonably simulate the compressive and extensive stress-strain behavior of sand.

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references

Been K,Jefferies M G.A state parameter for sands[J].Géotechnique,1985,35(2):99-112.

Verdugo R,Ishihara K.The steady state of sandy soils[J].Soils and Foundations,1996,36(2):81-91.

Vaid Y P,Thomas J.Liquefaction and postliquefaction behavior of sand[J].Journal of Geotechnical Engineering,ASCE,1995,121(2):163-173.

Doanh T,Ibraim E,Matiotti R.Undrained instability of very loose Hostun sand in triaxial compression and extension.Part I:experimental observations[J].Mechanics of Cohesive-Frictional Materials,1997,2(1):47-70.

张建民.砂土动力学若干基本理论探究[J].岩土工程学报,2012,34(1):1-50.Zhang J M.New advances in basic theories of sand dynamics[J].Chinese Journal of Geotechnical Engineering，2012,34(1):1-50.(in Chinese)

Dafalias Y F,Taiebat M.SANISAND-Z:zero elastic range sand plasticity model[J].Géotechnique,2016,66(12):999-1 013.

Been K,Jefferies M G.Stress dilatancy in very loose sand[J].Canadian Geotechnical Journal,2004,41(5):972-989.

Li X.A Sand model with state-dapendent dilatancy[J].Géotechnique,2002,52(3):173-186.

Yao Y,Yamamoto H,Wang N D.Constitutive model considering sand crushing[J].Soils and Foundations,2008,48(4):603-608.

Yao Y,Kong L,Zhou A,et al.Time-dependent unified hardening model:three-dimensional elastoviscoplastic constitutive model for clays[J].Journal of Engineering Mechanics,2014,141(6):04014162.

Yao Y,Wang N.Transformed stress method for generalizing soil constitutive models[J].Journal of Engineering Mechanics,2014,140(3):614-629.

Yao Y,Kong Y.Extended UH Model:three-dimensional unified hardening model for anisotropic clays[J].Journal of Engineering Mechanics,2012,138(7):853-866.

Yao Y,Zhou A.Non-isothermal unified hardening model:a thermo-elasto-plastic model for clays[J].Géotechnique,2013,63(15):1 328-1 345.

Sun Y,Xiao Y.Fractional order plasticity model for granular soils subjected to monotonic triaxial compression[J].International Journal of Solids and Structures,2017,118-119,224-234.

Sun Y,Shen Y.Constitutive model of granular soils using fractional order plastic flow rule[J].International Journal of Geomechanics,2017,17(8):04017025.

Sun Y,Xiao Y.Fractional order model for granular soils under drained cyclic loading[J].International Journal for Numerical and Analytical Methods in Geomechanics,2017,41(4):555-577.

Sun Y,Indraratna B,Carter J P,et al.Application of fractional calculus in modelling ballast deformation under cyclic loading[J].Computers and Geotechnics,2017,82:16-30.

Podlubny I.Fractional differential equations:an introduction to fractional derivatives,fractional differential equations,to methods of their solution and some of their applications[M].San Diego,California:Acade?mic Press,1998.

Schofield A,Wroth P.Critical state soil mechanics[M].New York,USA:McGraw-Hill London,1968.

Khalili N,Habte M A,Valliappan S.A bounding surface plasticity model for cyclic loading of granular soils[J].International Journal for Numerical Methods in Engineering,2005,63(14):1 939-1 960.

孙逸飞,高玉峰,鞠雯.分数阶塑性力学及其砂土本构模型[J].岩土工程学报,2018,40(8):1 535-1 541.Sun Y F,Gao Y F,Ju W.Fractional plasticity and its application in constitutive modelling of sand[J].Chinese Journal of Geotechnical Engineering,2018,40(8):1 535-1 541.(in Chinese)

陈生水,傅中志,韩华强,等.一个考虑颗粒破碎的堆石料弹塑性本构模型[J].岩土工程学报,2011,33(10):1 489-1 495.Chen Sh Sh,Fu Zh Zh,Han H Q,et al.An elastoplastic model for rockfill materials considering particle breakage[J].Chinese Journal of Geotechnical Engineering,2011,33(10):1 489-1 495.(in Chinese)

Li X,Dafalias Y.Dilatancy for cohesionless soils[J].Géotechnique,2000,50(4):449-460.

Hyodo M,Tanimizu H,Yasufuku N,et al.Undrained cyclic and monotonic triaxial behavior of saturated loose sand[J].Soils and Foundations,1994,35(2):127-128.

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