Implicit scheme for integrating constitutive model of unsaturated soils with coupling hydraulic and mechanical behavior

doi:10.1007/s10483-014-1859-6

Applied Mathematics and Mechanics (English Edition) ›› 2014, Vol. 35 ›› Issue (9): 1129-1154.doi: https://doi.org/10.1007/s10483-014-1859-6

Implicit scheme for integrating constitutive model of unsaturated soils with coupling hydraulic and mechanical behavior

马田田¹, 韦昌富^1,2, 陈盼¹, 魏厚振¹

1. State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, Wuhan 430071, P. R. China;
2. College of Civil and Architectural Engineering, Guilin University of Technology, Guilin 541004, Guangxi Province, P. R. China

收稿日期:2013-09-24 修回日期:2014-01-16 出版日期:2014-09-01 发布日期:2014-09-01
通讯作者: Chang-fu WEI, cfwei@whrsm.ac.cn E-mail:cfwei@whrsm.ac.cn
基金资助:
Project supported by the National Natural Science Foundation of China (No. 11072255) and the Natural Science Foundation of Guangxi Province (No. 2011GXNSFE018004)

Implicit scheme for integrating constitutive model of unsaturated soils with coupling hydraulic and mechanical behavior

Tian-tian MA¹, Chang-fu WEI^1,2, Pan CHEN¹, Hou-zhen WEI¹

1. State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, Wuhan 430071, P. R. China;
2. College of Civil and Architectural Engineering, Guilin University of Technology, Guilin 541004, Guangxi Province, P. R. China

Received:2013-09-24 Revised:2014-01-16 Online:2014-09-01 Published:2014-09-01
Supported by:
Project supported by the National Natural Science Foundation of China (No. 11072255) and the Natural Science Foundation of Guangxi Province (No. 2011GXNSFE018004)

摘要/Abstract

摘要： A constitutive model of unsaturated soils with coupling capillary hysteresis and skeleton deformation is developed and implemented in a fully coupled transient hydro-mechanical finite-element model (computer code U-DYSAC2). The obtained results are compared with experimental results, showing that the proposed constitutive model can simulate the main mechanical and hydraulic behavior of unsaturated soils in a unified framework. The non-linearity of the soil-water characteristic relation is treated in a similar way of elastoplasticity. Two constitutive relations are integrated by an implicit return-mapping scheme similar to that developed for saturated soils. A consistent tangential modulus is derived to preserve the asymptotic rate of the quadratic convergence of Newton's iteration. Combined with the integration of the constitutive model, a complete finite-element formulation of coupling hydro-mechanical problems for unsaturated soils is presented. A number of practical problems with different given initial and boundary conditions are analyzed to illustrate the performance and capabilities of the finite-element model.

关键词: unsaturated soil, capillary hysteresis, elastoplastic coupling constitutive model, stress integration, finite-element method

Abstract: A constitutive model of unsaturated soils with coupling capillary hysteresis and skeleton deformation is developed and implemented in a fully coupled transient hydro-mechanical finite-element model (computer code U-DYSAC2). The obtained results are compared with experimental results, showing that the proposed constitutive model can simulate the main mechanical and hydraulic behavior of unsaturated soils in a unified framework. The non-linearity of the soil-water characteristic relation is treated in a similar way of elastoplasticity. Two constitutive relations are integrated by an implicit return-mapping scheme similar to that developed for saturated soils. A consistent tangential modulus is derived to preserve the asymptotic rate of the quadratic convergence of Newton's iteration. Combined with the integration of the constitutive model, a complete finite-element formulation of coupling hydro-mechanical problems for unsaturated soils is presented. A number of practical problems with different given initial and boundary conditions are analyzed to illustrate the performance and capabilities of the finite-element model.

Key words: unsaturated soil, capillary hysteresis, elastoplastic coupling constitutive model, stress integration, finite-element method

中图分类号:

TU44
O359+.2

马田田;韦昌富;陈盼;魏厚振. Implicit scheme for integrating constitutive model of unsaturated soils with coupling hydraulic and mechanical behavior[J]. Applied Mathematics and Mechanics (English Edition), 2014, 35(9): 1129-1154.

Tian-tian MA;Chang-fu WEI;Pan CHEN;Hou-zhen WEI. Implicit scheme for integrating constitutive model of unsaturated soils with coupling hydraulic and mechanical behavior[J]. Applied Mathematics and Mechanics (English Edition), 2014, 35(9): 1129-1154.

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Implicit scheme for integrating constitutive model of unsaturated soils with coupling hydraulic and mechanical behavior

Implicit scheme for integrating constitutive model of unsaturated soils with coupling hydraulic and mechanical behavior

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