CEL算法在土壤大变形仿真中的应用
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摘要
为了解决传统的拉格朗日算法在进行土壤大变形有限元仿真时出现的网格畸变,计算无法收敛的问题,引入耦合欧拉-拉格朗日(CEL)算法应用于土壤的大变形仿真。分别用传统的拉格朗日算法和CEL算法仿真土壤的打桩试验过程,研究过程显示在打桩的初期即土壤小变形阶段,传统的拉格朗日算法和CEL算法保持着较好的一致性,而当土壤发生大变形时,传统的拉格朗日算法由于网格畸变出现报错无法继续计算,CEL算法则可以持续地仿真整个试验过程。研究结果表明CEL算法可以有效地解决土壤大变形仿真计算问题。研究结论可以为土壤和其它领域大变形问题的有限元仿真研究提供参考。
The coupled Euler-Lagrange algorithm was introduced into soil large deformation simulation to solve the problems of mesh distortion and the calculation can not converge when traditional Lagrange algorithm applied into soil large deformation simulation. The pile driving test process of soil was simulated using traditional Lagrange and Coupled Euler-Lagrange algorithm separately. It shows that in the initial stage of piling is also the small deformation of soil stage,the traditional Lagrange and Coupled Euler-Lagrange algorithm have good agreement. When big deformation of soil occurred,the simulation based on traditional Lagrange algorithm can not continue calculating more because the mesh distortion happened,however the simulation based on Coupled Euler-Lagrange algorithm can simulate the whole test process. The research results show that the Coupled Euler-Lagrange algorithm can solve the calculation problems of soil big deformation simulation effectively. It can provide a reference for the finite element simulation of large deformation problems in soil and other fields.
The coupled Euler-Lagrange algorithm was introduced into soil large deformation simulation to solve the problems of mesh distortion and the calculation can not converge when traditional Lagrange algorithm applied into soil large deformation simulation. The pile driving test process of soil was simulated using traditional Lagrange and Coupled Euler-Lagrange algorithm separately. It shows that in the initial stage of piling is also the small deformation of soil stage,the traditional Lagrange and Coupled Euler-Lagrange algorithm have good agreement. When big deformation of soil occurred,the simulation based on traditional Lagrange algorithm can not continue calculating more because the mesh distortion happened,however the simulation based on Coupled Euler-Lagrange algorithm can simulate the whole test process. The research results show that the Coupled Euler-Lagrange algorithm can solve the calculation problems of soil big deformation simulation effectively. It can provide a reference for the finite element simulation of large deformation problems in soil and other fields.
引文
[1]郭小青.软土贯入仪大变形贯入机理与强度取值方法研究[D].浙江大学,2016.
[2]张新全,于龙.考虑应变软化的T-bar承载力CEL有限元分析[J].水利与建筑工程学报,2016,14(5):50-54.
[3]王永虎,吴志坚,林天龙.基于CEL的某型飞机撞水数值仿真[J].航空计算技术,2017,47(3):1-4.
[4]苏芳眉.锚板在粘土中极限承载力的数值确定方法[D].天津大学,2014.
[5]王懿,贾旭,黄俊等.基于CEL的船舶抛锚入泥深度分析[J].石油机械,2014,42(12):44-47.
[6] G Qiu,S Henke,J Grabe.Applications of Coupled Euler-Lagrange method to geotechnical problems with large deformations[C]. Proceeding of SIMULIA customer conference. 2009:420-435.
[7]张留豪.储液容器跌落碰撞有限元模拟[D].大连理工大学,2014.
[8]李刚,艾森,唐霄汉等.Abaqus的CEL算法在整流罩地面分离试验仿真中的应用研究[C].中国计算力学大会2014暨第三届钱令希计算力学奖颁奖大会论文集,2014.
[9]费康.ABAQUS在岩土工程中的应用[M].北京:中国水利水电出版社,2013.
[10] DS SIMULIA.Abaqus/CAE高级实用技巧[J].计算机辅助工程,2011,20(1):185-186.
[2]张新全,于龙.考虑应变软化的T-bar承载力CEL有限元分析[J].水利与建筑工程学报,2016,14(5):50-54.
[3]王永虎,吴志坚,林天龙.基于CEL的某型飞机撞水数值仿真[J].航空计算技术,2017,47(3):1-4.
[4]苏芳眉.锚板在粘土中极限承载力的数值确定方法[D].天津大学,2014.
[5]王懿,贾旭,黄俊等.基于CEL的船舶抛锚入泥深度分析[J].石油机械,2014,42(12):44-47.
[6] G Qiu,S Henke,J Grabe.Applications of Coupled Euler-Lagrange method to geotechnical problems with large deformations[C]. Proceeding of SIMULIA customer conference. 2009:420-435.
[7]张留豪.储液容器跌落碰撞有限元模拟[D].大连理工大学,2014.
[8]李刚,艾森,唐霄汉等.Abaqus的CEL算法在整流罩地面分离试验仿真中的应用研究[C].中国计算力学大会2014暨第三届钱令希计算力学奖颁奖大会论文集,2014.
[9]费康.ABAQUS在岩土工程中的应用[M].北京:中国水利水电出版社,2013.
[10] DS SIMULIA.Abaqus/CAE高级实用技巧[J].计算机辅助工程,2011,20(1):185-186.