## 留言板

 引用本文: 史宏彦, 谢定义. 无粘性土的应力矢量本构模型(Ⅰ)——理论[J]. 应用数学和力学, 2002, 23(3): 299-308.
SHI Hong-yan, XIE Ding-yi. A Stress Vector-Based Constitutive Model for Cohesionless Soil(Ⅰ)-Theory[J]. Applied Mathematics and Mechanics, 2002, 23(3): 299-308.
 Citation: SHI Hong-yan, XIE Ding-yi. A Stress Vector-Based Constitutive Model for Cohesionless Soil(Ⅰ)-Theory[J]. Applied Mathematics and Mechanics, 2002, 23(3): 299-308.

## 无粘性土的应力矢量本构模型(Ⅰ)——理论

###### 作者简介:史宏彦(1962- ),男,陕西汉中人,副教授,博士,主要从事岩土工程方面的数学与科研工作.
• 中图分类号: TU43;O347.7

## A Stress Vector-Based Constitutive Model for Cohesionless Soil(Ⅰ)-Theory

• 摘要: 在充分考虑应力的矢量特性基础上,通过将应力矢量的作用效应分解为球应力作用效应与应力比矢量 (偏应力矢量与球应力之比)作用效应的叠加,建立了一个全新的、适用于无粘性土在平面应变和三维条件下的非线性本构模型。该模型可以同时考虑应力的数量和方向变化对变形的影响,既适用于单调静荷作用,也适用于往返动荷作用。
•  [1] Arthur J R F. Principal stress rotation:a missing parameter[J]. Journal of Geotechnics, Div ASCE,1980,106(4):419-433. [2] Marte Gutierrez, Kenji Ishihara,Ikuo Towhata. Flow theory for sand under rotation of principal stress direction[J]. Soils and Foundations,1991,31(4):121-132. [3] Aubry D. A double memory model with multiple mechanisms for cyclic soil behavior[A]. In:Proc Int Symp Num Methods Geomech,1982,3-13. [4] Kabilamany K, Ishibara K. Stress dilatancy and hardening laws for rigid granular model of sand[J]. Soils Dynamics and Earthquake Engineering,1990,19(2):66-77. [5] Prevost J H, Keane C M. Multimechanism elasto-plastic model for soils[J]. Journal of Engineering Mechancs,1990,116(9):1924-1944. [6] 史宏彦. 无粘性土的应力矢量本构模型[D]. 博士学位论文. 西安:西安理工大学,2000. [7] Mtsuoka H. On the significance of the "Spatial Mobilized Plane"[J]. Solis and Foundations,1976,16(1):91-100. [8] Rowe P W. The stress-dilatancy relation for static equilibrium of an assembly of particles in contact[J]. Proc Roy Soc A,1962,269:500-527. [9] Matsuoka H, Sakakibara K. A constitutive model for sands and clays evaluating principal stress rotation[J]. Soils and Foundations,1987,27(4):73-89. [10] Li X S. Reduced-order sand model for ground response analysis[J]. Journal of Engineering Mechancis,1996,122(9):872-881. [11] Koiter W T. Stress-strain relations, uniqueness and variational theorems for elastic-plastic materials with a singular yield surface[J]. Quart Appl Math,1953,11(3):350.

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##### 出版历程
• 收稿日期:  2000-08-30
• 修回日期:  2001-08-20
• 刊出日期:  2002-03-15

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