scholarly journals NUMERIC ANALYSIS OF LARGE PENETRATION OF THE CONE IN UNDRAINED SOIL USING FEM

2003 ◽  
Vol 9 (2) ◽  
pp. 122-131
Author(s):  
Darius Markauskas ◽  
Rimantas Kačianauskas ◽  
Rolf Katzenbach
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Numerical Solution ◽  
Cone Penetration ◽  
Penetration Process ◽  
Large Distortion ◽  
Updated Lagrangian Formulation ◽  
Updated Lagrangian ◽  
Element Method ◽  
Undrained Soil

Numeric analysis of the large penetration of the cone in undrained soil using finite element method (FEM) is presented. Until now the computation procedures has not been developed to such an extent, that they could provide numerical solution of large cone penetration problem. In this paper for solving of the large cone penetration problem an updated Lagrangian formulation and finite element method are used. To overcome large distortion of the finite element geometry during cone penetration leading to illconditioning equations a remeshing technique is developed. The proposed remeshing technique enables the simulation of the penetration process until steady cone penetration is reached. The analysis of the cone penetration in undrained soil is provided. The comparison of current numerical results and other authors' results are presented.

Analysis of the Large Plastic Deformation Involved in Wear Processes Using the Finite Element Method With an Updated Lagrangian Formulation

1987 ◽  
Vol 109 (2) ◽  
pp. 330-337 ◽  
Author(s):  
Nobuo Ohmae
Keyword(s):  
Finite Element Method ◽  
Plastic Deformation ◽  
Finite Element ◽  
Equivalent Stress ◽  
Lagrangian Formulation ◽  
The Finite Element Method ◽  
Large Plastic Deformation ◽  
Updated Lagrangian Formulation ◽  
Updated Lagrangian ◽  
Element Method

Large plastic deformation caused by friction for high purity copper was investigated using the finite element method with an updated Lagrangian formulation. The phenomenological background of this large plastic deformation was studied with a scanning electron microscope, and the nucleation of voids similar to those obtained for copper rolled to over 50 percent reduction was observed. Void nucleation was found to correlate with the agglomeration of over-saturated vacancies formed under high plastic strains. The computer-simulation analyzed such heavy deformation with an equivalent stress greater than the tensile strength and with an equivalent plastic strain of 0.44. Crack propagation was discussed by computing the J-integrals.

scholarly journals APPLICATION OF GALERKIN FINITE ELEMENT METHOD IN THE SOLUTION OF 3D DIFFUSION IN SOLIDS

2009 ◽  
Vol 8 (2) ◽  
pp. 79 ◽  
Author(s):  
E. C. Romão ◽  
M. D. De Campos ◽  
J. A. Martins ◽  
L. F. M. De Moura
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Numerical Solution ◽  
Heat Diffusion ◽  
Average Error ◽  
Galerkin Finite Element Method ◽  
Diffusion In Solids ◽  
Galerkin Finite Element ◽  
L2 Norm ◽  
Element Method

This paper presents the numerical solution by the Galerkin Finite Element Method, on the three-dimensional Laplace and Helmholtz equations, which represent the heat diffusion in solids. For the two applications proposed, the analytical solutions found in the literature review were used in comparison with the numerical solution. The results analysis was made based on the the L2 Norm (average error throughout the domain) and L¥ Norm (maximum error in the entire domain). The two application results, one of the Laplace equation and the Helmholtz equation, are presented and discussed in order to to test the efficiency of the method.

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