基于广义位势理论的非共轴本构模型验证  

Verification of non-coaxial constitutive model based on generalized potential theory

作　　者：温勇 杨光华[2,3,4] 汤连生[1] 钟志辉 姚捷 张玉成 

机构地区：[1]中山大学地球科学与工程学院,广东广州510275 [2]广东省水利水电科学研究院,广东广州510610 [3]广东省岩土工程技术研究中心,广东广州510610 [4]武汉大学土木建筑工程学院,湖北武汉430072 [5]上海大学上海市应用数学和力学研究所,上海200072 [6]中铁第四勘察设计院集团有限公司,湖北武汉430063

出　　处：《中南大学学报（自然科学版）》2017年第7期1817-1823,共7页Journal of Central South University:Science and Technology

基　　金：国家自然科学基金资助项目(51378131;41572277);广东省自然科学基金资助项目(2015A030313118);广东省水利科技创新项目(2009-25);广东省岩土工程技术研究中心开放基金资助项目(201404002)~~

摘　　要：基于广义位势理论提出的考虑拟弹性塑性变形的弹塑性模型,把塑性应变增量分解为满足弹性分解准则的拟弹性部分和符合传统塑性理论假设的纯塑性部分,这样得到的塑性应变增量方向不仅与应力状态有关,而且与应力增量相关,为解决土的非共轴性问题提供一种有效的方法。通过单剪试验结果及含主应力轴旋转的土体平面问题数值模拟对模型的合理性进行检验。研究结果表明:本文模型计算结果与试验结果吻合较好,且能够描述单剪试验过程中的非共轴现象;此外,与共轴模型数值模拟结果相比,本文模型能够考虑主应力轴旋转产生的土体塑性变形,计算结果更符合实际。An elastic-plastic model considering quasi-elastic-plastic deformation was proposed based on the generalized potential theory, in which the plastic strain increment was decomposed into quasi-elastic part and pure-plastic part, and the quasi-elastic part obeyed elastic rule and the pure-plastic part obeyed the traditional plasticity theory. The direction of plastic strain increment obtained by this proposed model not only depends on total stress but also the stress increment, which gives an effective method to solve the problem of the non-coaxiality of soil. The results of a simple shear test and numerical simulation of a plane problem of soil involving the rotation of principal stress axes were used to verify the rationality of the proposed model. The results show that the calculation results of the proposed model agree well with the test ones and the non-coaxial phenomenon during the simple shear test can be described reasonably. What is more, the plastic deformation of soil caused by the rotation of principal stress axes can be considered by the proposed model, which makes the calculation results of the proposed model conform to reality better than the coaxial model.

关 键 词：非共轴 本构模型 广义位势理论 主应力轴旋转 数值模拟 

分 类 号：TU443[建筑科学—岩土工程]