Error Bounds in an Optimization Problem Using the Finite-Element Method

1973 ◽  
Vol 40 (1) ◽  
pp. 204-208
Author(s):  
R. W. McLay ◽  
E. M. Buturla
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Error Bounds ◽  
Optimization Problem ◽  
Finite Element Solution ◽  
Element Solution ◽  
The Finite Element Method ◽  
The Relationship ◽  
Circular Disks ◽  
Element Method

An optimization problem involving the thermal deflections of two parallel circular disks is examined. Error bounds are developed for both the finite-element solution and the optimization problem. The relationship between the errors is illustrated in a single bound.

Finite Element Solution of Heat Transmission in Steel Ingots

1972 ◽  
Vol 14 (1) ◽  
pp. 19-24 ◽  
Author(s):  
J. I. Soliman ◽  
E. A. Fakhroo
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Finite Element Solution ◽  
Element Solution ◽  
The Finite Element Method ◽  
Heat Transmission ◽  
Mathematical Study ◽  
Steel Ingots ◽  
First Time ◽  
Element Method

A mathematical study of the solidification of steel ingots using, for the first time, the finite element method.

no

2016 ◽  
Vol 4 (1) ◽  
pp. 0-0
Author(s):  
Олег Ещенко ◽  
Oleg Eshchenko ◽  
Игорь Болгов ◽  
Igor Bolgov
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
The Finite Element Method ◽  
Retaining Structures ◽  
The Relationship ◽  
Element Method

In this article an example of Tuapse refinery examines the relationship deformations tank foundation and pile retaining structures at various embodiments, the construction of both objects. The finite element method determined the effect of tech-energy building by the amount of heel tank. Advice on selecting the best option erection paired structures

Evaluation of Error Bounds in an Optimization Problem Using the Finite-Element Method

1974 ◽  
Vol 41 (1) ◽  
pp. 269-272 ◽  
Author(s):  
E. M. Buturla ◽  
R. W. McLay
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Numerical Analysis ◽  
Optimization Problem ◽  
The Finite Element Method ◽  
Numerical Convergence ◽  
Optimization Study ◽  
Approximation Errors ◽  
Analytical Development ◽  
Circular Disks

Results of a numerical analysis completed in conjunction with the analytical development of a previous work are presented. The problem is an optimization study involving the thermal deflections of two parallel circular disks. The capability of choosing a mesh refinement to arbitrarily reduce approximation errors is illustrated and numerical convergence of the optimization process is demonstrated.

scholarly journals Establishing the correlation of the vertical and horizontal passive failure pressure in front of constructed tbm tunnels face in sand

2020 ◽  
pp. 33-47
Author(s):  
Anh Tuan Nguyen ◽  
Van Dung Tran
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
The Finite Element Method ◽  
Tunnel Face ◽  
Failure Pressure ◽  
The Relationship ◽  
Element Method

The paper aims to investigate the relationship between factors which have the impacts on the tunnel and the ground and establish formulas to calculate the correlation of the passive failure pressure in front of tunnel face in the vertical and horizontal directions by using the Finite Element Method (FEM).

Improvement of Die-Roll Quality in Compound Fine-Blanking Forming Process

2011 ◽  
Vol 337 ◽  
pp. 236-241 ◽  
Author(s):  
Xin Hua Huang ◽  
Hua Xiang ◽  
Xin Cun Zhuang ◽  
Zhen Zhao
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Material Flow ◽  
The Finite Element Method ◽  
Forming Process ◽  
Fine Blanking ◽  
Die Roll ◽  
The Relationship ◽  
Element Method

Nowadays, the compound fine-blanking forming process is one of the most important processes to produce complicate multifunctional parts without subsequent machining. However, the big die-roll occurs in the sharp area is a common problem in this process. In this paper, the method with negative punch-die clearance was proposed to solve this problem by comparing three feasible plans. In addition, the influence on the process with different value of the negative punch-die clearance was studied by the finite element method (FEM). The results of this study verified that the process with suitable value of the negative punch-die clearance can result in significant decrease of the die-roll size. The relationship between the material flow near the region of die-roll and the punch-die clearance was also clarified.

Constructing the Predictive Models of Friction Coefficient Using Cylindrical Compression Testing

2006 ◽  
Vol 505-507 ◽  
pp. 745-750 ◽  
Author(s):  
Yuan Chuan Hsu ◽  
Tung Sheng Yang ◽  
S.Y. Sung ◽  
Sheng Yi Chang
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Friction Coefficient ◽  
Analysis Data ◽  
Compression Testing ◽  
Strain Hardening Exponent ◽  
The Finite Element Method ◽  
Element Analysis ◽  
The Relationship ◽  
Element Method

In this study, the predictive model of friction coefficient using cylindrical compression was constructed through combining the finite element method and neutral networks. Namely, the related data of the materials characters, cylinder compression bulging, and how they were associated with friction coefficient was obtained by the finite element method. Based on those analysis data, the relationship model, reflecting the relationship among the materials characters such as strength coefficient and strain-hardening exponent, the compression bulging such as reduction height, expanding in upper ending, expanding in bottom ending, maximum expanding in outside diameter and the friction coefficient in workpiece/die interface, was constructed. Finally, the cross verification between finite element analysis, prediction by neutral network model and the experiments of cylindrical compression testing and ring compression testing are repeatedly checked to ensure the accuracy and reliability of the constructed model. Results of the current study indicate that their errors are extremely limited, and the developed predictive system is reliable and feasible.

Efficient Implementation of Extended Finite Element Method

2012 ◽  
Author(s):  
Vishal Hotwani ◽  
Ashok V. Kumar
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Analytical Solution ◽  
Extended Finite Element Method ◽  
Exact Analytical Solution ◽  
Crack Tip ◽  
Finite Element Solution ◽  
Element Solution ◽  
Extended Finite Element ◽  
Element Method

Extended finite element method (or XFEM) locally enriches the finite element solution using a priori known analytical solution. XFEM has been used extensively in fracture mechanics to compute stress concentration at crack tips. It is a mesh independent method that allows crack to be represented as an equation instead of using the mesh to approximate it. When this approach is used along with Implicit Boundary Finite Element Method (IBFEM) to apply boundary conditions, a fully mesh independent approach for studying crack tip stresses can be implemented. An efficient scheme for blending the enriched solution structure with the underlying finite element solution is presented. A ramped step function is introduced for modeling discontinuity or a crack within an element. Exact analytical solution is used as enrichment at the crack tip element to obtain the stress intensity factor (SIF) directly without any post processing or contour integral computation. Several examples are used to study the convergence and accuracy of the solution.

A Dynamic Characteristic Analysis of Continuous Welded Rail Track under Different Longitudinal Stress

2011 ◽  
Vol 105-107 ◽  
pp. 1134-1137
Author(s):  
Yan Yun Luo ◽  
Hu Zhang ◽  
Yan Liu
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Natural Frequencies ◽  
Track Structure ◽  
Longitudinal Stress ◽  
The Finite Element Method ◽  
Rail Track ◽  
Continuous Welded Rail ◽  
The Relationship ◽  
Element Method

The paper presents a dynamic computational model and field test for analyzing the relationship between the rail natural frequencies and the longitudinal temperature stress by means of the finite element method. The essay use the infinite Timoshenko beam as the plane model to simulate continuous welded rail track structure and the rail model by means of the finite element method in order to its unit as a division of space elastomer. The test uses vertical incentive and horizontal incentive to encourage continuous welded rail track structure to get the rail natural frequencies. The measured data and the result of finite element analysis are compared, finds the results are consistent. The paper not only investigates the relationship between the rail’s dynamic characteristics and the longitudinal stress, but also provides a feasible method for test longitudinal stress of continuous welded rail track.

Analysis of Hydrostatic Extrusion by the Finite Element Method

1972 ◽  
Vol 94 (2) ◽  
pp. 697-703 ◽  
Author(s):  
K. Iwata ◽  
K. Osakada ◽  
S. Fujino
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Plane Strain ◽  
Frictional Coefficient ◽  
Hydrostatic Extrusion ◽  
Displacement Curve ◽  
Element Solution ◽  
The Finite Element Method ◽  
Entry And Exit ◽  
Element Method

An elastoplastic analysis of hydrostatic extrusion is made using the finite element method. The effect of frictional coefficient on the spread of plastic zone, the pressure-displacement curve, and the stress and the strain distributions are studied for the non-steady state in plane-strain and axisymmetric extrusions. Comparisons of results between the finite element solution and slip-line solution and between plane-strain and axisymmetric extrusions are presented. Tensile stresses on the surface of the extruded part behind the die are found to exist. It is also found that the die pressure is high near the die entry and exit and that the surface of the billet in front of the die entry tends to contract.

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