On the Use of a Plane-Strain Model to Solve Generalized Plane-Strain Problems

1997 ◽  
Vol 64 (1) ◽  
pp. 236-238 ◽  
Author(s):  
Shoufeng Hu ◽  
N. J. Pagano
Keyword(s):  
Finite Element ◽  
Plane Strain ◽  
Three Dimensional ◽  
Element Analysis ◽  
Out Of Plane ◽  
Dimensional Finite Element ◽  
Three Dimensional Finite Element ◽  
Strain Model ◽  
Generalized Plane Strain ◽  
Plane Strain Model

Many composite problems are generalized plane strain in nature. They are often solved using three-dimensional finite element analyses. We propose a technique to solve these problems with a plane-strain model, which is achieved by introducing some artificial out-of-plane thermal strains in a two-dimensional finite element analysis. These artificial thermal strains are chosen such that an identical stress field is obtained, while the actual strains and displacements can also be determined.

Three-dimensional deformation behavior of the Taipei National Enterprise Center (TNEC) excavation case history

2000 ◽  
Vol 37 (2) ◽  
pp. 438-448 ◽  
Author(s):  
Chang-Yu Ou ◽  
Bor-Yuan Shiau ◽  
I-Wen Wang
Keyword(s):  
Finite Element ◽  
Plane Strain ◽  
Case History ◽  
Three Dimensional ◽  
Ground Surface ◽  
Element Analysis ◽  
Case Record ◽  
Dimensional Finite Element ◽  
Three Dimensional Finite Element ◽  
National Enterprise

The Taipei National Enterprise Center (TNEC) excavation project was constructed using the top-down construction method, in which a diaphragm wall was supported by the concrete floor slab. Previous studies have reported the deformation and stress-strain behaviors along the main observation section, which was considered to be in the plane strain condition. This paper examines the three-dimensional movements of the soil and wall through field observations and finite element analyses. The results indicate that the soil outside the excavation zone tends to move toward the excavation center. Such a tendency increases with excavation depth. The soil settlement near the corner of the excavation is less than that near the center due to the corner effect. The empirical equation proposed by Clough and O'Rourke for estimating the ground settlement appears to be adequate for plane strain sections and other non-plane strain sections. Numerical studies indicate that the wall deformation and ground surface settlement can be reasonably predicted using three-dimensional finite element analysis. Parametric studies revealed that for this case record zoned excavation commencing near the final stage of excavation has very little effect on excavation behavior.Key words: TNEC case history, deep excavation, deformation, three-dimensional finite element method.

scholarly journals Two - Dimensional Finite Element Analysis of Composite Patch Repairs Using Shell Laminate Elements

2003 ◽  
Vol 12 (2) ◽  
pp. 096369350301200
Author(s):  
George J Tsamasphyros ◽  
George N Kanderakis ◽  
Nikos K Furnarakis ◽  
Zaira P Marioli-Riga
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Three Dimensional ◽  
Two Dimensional ◽  
Element Analysis ◽  
Composite Patch ◽  
Out Of Plane ◽  
Dimensional Finite Element ◽  
Patch Repairs ◽  
Three Dimensional Finite Element

A host of one and two-sided composite patch reinforcements of metallic structures with different patch thickness were considered, in order to compare two-dimensional finite element analysis using shell laminate elements with three-dimensional finite element analysis. In order to verify the accuracy of this approach a parametric study has been performed and the 2D results were compared to the outcome of the corresponding three-dimensional finite element analysis, which accuracy has been experimentally verified in previous works. It was found that for the case of two-sided reinforcement the results obtained by the two methods were in very good agreement. For the case of one-sided reinforcement some deviation of the results of two-dimensional analysis has been observed, which was due to the tendency of the structure for out-of-plane bending, resulting from the bonding of a reinforcing patch to only one face of the structure. According to the results of this parametric study and since most aircraft structures are constrained against local out-of-plane bending (e.g. aircraft skins through stringers) two-dimensional finite elements analysis using shell laminate elements is proposed as an accurate and easy to use analysis tool for the design of both one and two-sided composite patch repairs of relatively simple structures.

Finite Element Analysis of Nonuniformity of Tires with Imperfections5

2007 ◽  
Vol 35 (3) ◽  
pp. 226-238 ◽  
Author(s):  
K. M. Jeong ◽  
K. W. Kim ◽  
H. G. Beom ◽  
J. U. Park
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Three Dimensional ◽  
Element Model ◽  
Radial Force ◽  
Element Analysis ◽  
The Finite Element Analysis ◽  
Dimensional Finite Element ◽  
Force Variation ◽  
Three Dimensional Finite Element

Abstract The effects of variations in stiffness and geometry on the nonuniformity of tires are investigated by using the finite element analysis. In order to evaluate tire uniformity, a three-dimensional finite element model of the tire with imperfections is developed. This paper considers how imperfections, such as variations in stiffness or geometry and run-out, contribute to detrimental effects on tire nonuniformity. It is found that the radial force variation of a tire with imperfections depends strongly on the geometrical variations of the tire.

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