基于EFG-FEM的加筋土数值计算方法
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摘要
提出了一种基于EFG-FEM的加筋土数值计算方法。将等效附加应力法引入EFG中,提出了基于EFG的等效附加应力法。该方法中筋材的作用以附加应力的形式施加在土体上,并最终体现在附加刚度矩阵上。素土采用邓肯张E-v模型模拟其非线性特性,并将其应用于EFG中,提出了背景单元弹性矩阵的计算方法。最后,采用EFG-FEM数值方法计算一加筋土模型,将其与有限元的计算结果比较,证明本文方法具有较好的精度和计算效率。
A numerical method of reinforced soil based on EFG-FEM is presented in this paper.The equivalent additional stress method is introduced into EFG,and the equivalent additional stress method based on EFG is proposed. In the method,the reinforcement effect is applied to the soil in the form of the additional stress,and finally reflected on the additional stiffness matrix. The Duncan –Chang E-v model is used to simulate the nonlinear characteristics of the soil,and it is applied to EFG. A method for calculating the elastic matrix of background units is proposed. Finally,the numerical method of EFG-FEM is used to calculate a reinforced soil model,and compared it with the results of FEM,it is proved that the method has good accuracy and computational efficiency.
A numerical method of reinforced soil based on EFG-FEM is presented in this paper.The equivalent additional stress method is introduced into EFG,and the equivalent additional stress method based on EFG is proposed. In the method,the reinforcement effect is applied to the soil in the form of the additional stress,and finally reflected on the additional stiffness matrix. The Duncan –Chang E-v model is used to simulate the nonlinear characteristics of the soil,and it is applied to EFG. A method for calculating the elastic matrix of background units is proposed. Finally,the numerical method of EFG-FEM is used to calculate a reinforced soil model,and compared it with the results of FEM,it is proved that the method has good accuracy and computational efficiency.
引文
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[12]介玉新,王乃东,李广信.加筋土计算中等效附加应力法的改进[J].岩土力学,2007(s1):129-132.
[2]Liu W K,Uras R A,Chen Y.Enrichment of the Finite Element Method With the Reproducing Kernel Particle Method[J].Office of Scientific&Technical Information Technical Reports,1995,64(4):861-870.
[3]Belytschko T Liu Y Y Gu L.Element-free Galerkin methods[J].Int.J.for Num.Methods in Eng.1994 37(2)229 256.
[4]Lu Y Y,Belytschko T,Gu L.A new implementation of the element free Galerkin method[J].Computer Methods in Applied Mechanics&Engineering,1994,113(3-4):397-414.
[5]Liu W K,Chen Y,Uras R A,et al.Generalized multiple scale reproducing kernel particle methods[J].Computer Methods in Applied Mechanics&Engineering,1996,139(1-4):91-157.
[6]Chen W.New RBF collocation methods and kernel RBF with applications[J].Computer Science,2001,26:75-86.
[7]Belytschko T,Organ D,Krongauz Y.A coupled finite elementelement-free Galerkin method[J].Computational Mechanics,1995,17(3):186-195.
[8]Hegen D.Element-free Galerkin methods in combination with finite element approaches[J].Comput Meth Appl Mech Eng 1996;135(1-2):143-66.
[9]Huerta A,Fernandez-Mendez S.Enrichment and coupling of the finite element and meshless methods[J].Int J Numer Meth Eng July 1999;2000:1615-36.
[10]贾亮,黄其青,殷之平.无网格-有限元直接耦合法[J].西北工业大学学报,2007,25(3):337-341.
[11]介玉新,李广信.加筋土数值计算的等效附加应力法[J].岩土工程学报,1999,21(5):614-616.
[12]介玉新,王乃东,李广信.加筋土计算中等效附加应力法的改进[J].岩土力学,2007(s1):129-132.