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弹塑性平面应变固结问题的解耦分析

Decoupling analysis of elastoplastic plane strain consolidation

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【作者】 程涛王靖涛晏克勤

【Author】 Cheng Tao1,2 Wang Jingtao1 Yan Keqin2(1 College of Civil Engineering and Mechanics,Huazhong University of Science and Technology,Wuhan430074,China;2 School of Civil Engineering,Huangshi Institute of Technology,Huangshi 435003,Hubei China)

【机构】 华中科技大学土木工程与力学学院黄石理工学院土木建筑工程学院 湖北武汉430074黄石理工学院土木建筑工程学院湖北黄石435003湖北武汉430074

【摘要】 针对弹塑性平面应变固结问题提出了解耦的计算方法,基于数值建模方法建立了多路径的土的弹塑性本构模型,该模型能考虑塑性剪应变vpε与体应变-pε交叉作用及应力路径的影响.将该模型引入弹塑性固结问题中,建立了相应的扩散方程.讨论了此类液-固耦合问题的解耦条件及对应的应力路径.推导了平面应变扩散方程的基本解,该基本解与固体域控制方程构成了半数值半解析求解体系,编制了有限元程序,计算了一个典型平面应变固结沉降算例.对比分析表明该方法能有效地简化计算,能较好反映应力路径对固结的影响.

【Abstract】 A decoupled method for elastoplastic consolidation was presented.The elastoplastic models under different stress paths were constructed based on numerical modeling method,which reflected the interaction between εpv and AKε-p and the influence of stress paths.Then,the models were applied to elastoplastic consolidation and the diffusion equation was established.The decoupled conditions of stress paths for the liquid-solid coupling equations were discussed.The fundamental solution for the plane strain diffusion equation was derived.By use of the fundamental solution combined with the control equations of soil filed,a semi-analytical and semi-numerical method was put forward.Moreover,the method was applied to numerical analysis of a plane strain consolidation example.The result shows that consolidation analysis can be simplified by the method accurately,which can reflect the effect of stress paths.

【基金】 湖北省教育厅基金资助项目(D200530001);武汉市青年科技晨光计划项目(20065004116-12)
  • 【文献出处】 华中科技大学学报(自然科学版) ,Journal of Huazhong University of Science and Technology(Nature Science Edition) , 编辑部邮箱 ,2007年03期
  • 【分类号】TU431
  • 【被引频次】4
  • 【下载频次】148
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