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模拟土体本构特性的热力学方法
引用本文:孔亮,Ian F. Collins.模拟土体本构特性的热力学方法[J].岩土力学,2008,29(7):1732-1740.
作者姓名:孔亮  Ian F. Collins
作者单位:1.宁夏大学 固体力学研究所,宁夏 银川 750021;2.奥克兰大学工程学院,新西兰 奥克兰 92019
基金项目:国家自然科学基金 , 教育部跨世纪优秀人才培养计划
摘    要:简要介绍了建立岩土材料弹塑性本构模型的热力学方法。它不仅具有紧凑的数学结构,而且自动满足热力学定律,仅从两个热力学势函数,即自由能函数与耗散增量函数出发,就足以导出弹塑性理论必须的屈服条件,流动法则,硬化定律和弹性定律。通过理论证明指出,只要耗散增量函数依赖于当前应力,流动法则必然是非关联的,岩土材料的摩擦特性与非关联流动法则密不可分。介绍该方法在三维模型,岩土材料的微细观力学特性,应力应变的均匀化以及剪胀和各向异性方面应用的主要研究进展,并对一些重要的概念,诸如“储存的塑性功”,“Reynolds-Taylor状态”等,进行分析与解释。最后给出近期需进一步深入研究的几点建议。

关 键 词:热力学  本构方程  弹塑性  土力学  岩土材料  
收稿时间:2007-03-05

Thermomechanical approach to modeling constitutive behaviors of geomaterials
KONG Liang,Ian F. Collins.Thermomechanical approach to modeling constitutive behaviors of geomaterials[J].Rock and Soil Mechanics,2008,29(7):1732-1740.
Authors:KONG Liang  Ian F Collins
Institution:1. Institute of Solid Mechanics, Ningxia University, Yinchuan 750021, China; 2. School of Engineering, University of Auckland, Auckland 92019, New Zealand
Abstract:The thermomechanical approach to establishing elastoplastic constitutive model for geomaterials is introduced briefly. The major attraction of this approach is that it not only provides a tight mathematical structure, but also satisfies the laws of thermodynamics automatically. The whole of the constitutive structure (yield condition, flow rule, hardening laws and elasticity law) is determined just from two thermodynamic potentials (the free energy and the increment of dissipation function). It is demonstrated that, whenever the dissipation potential depends on the current stress; the flow rule is necessarily non-associated; and the concepts of friction and of non-associated flow rule are intimately linked. Then, some research advances, including three-dimensional problems, characteristic of geomaterials on micro and meso level, homogenization of stress-strain relation, dilation and anisotropy, are given. Several important concepts, such as “stored plastic work or frozen elastic energy” and “Reynolds-Taylor State”, are explained and analyzed. Finally, some proposals for further research are made.
Keywords:thermomechanics  constitutive equations  elastoplasticity  geomechanics  geomaterials  
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