Finite-Element Analysis of the Double Lateral Compression of Clad Tube into a Symmetric Square-Tube

2011 ◽  
Vol 337 ◽  
pp. 332-335 ◽  
Author(s):  
Tsung Chia Chen ◽  
Jiun Ming Ye
Keyword(s):  
Finite Element ◽  
Three Dimensional ◽  
Strain Hardening Exponent ◽  
Element Analysis ◽  
Circular Tubes ◽  
Geometric Ratio ◽  
Updated Lagrangian Formulation ◽  
Symmetric Square ◽  
Clad Tube ◽  
Updated Lagrangian

The squaring process to shape a circular tube into a symmetric square clad tube is examined by a three-dimensional incremental elastic-plastic finite-element method based on an updated Lagrangian formulation. The effects of various parameters, such as geometric ratio R/t, strain hardening exponent n, friction coefficient μ, and the length of tube L, on the occurrence of collapse in the squaring process are discussed and interpreted in a theoretical manner. The findings show that geometric ratio is the major factor in the process of squaring circular tubes. When R/t=25, serious collapse is likely to appear. Aiming at circular tubes with geometric ratio R/t=25, this study proposes six analysis configurations for clad tubes to discuss the possibility of clad tubes avoiding collapse. The findings showed that clad tubes could effectively reduce the collapse ratio.

Further Analysis of Axisymmetric Upsetting

1986 ◽  
Vol 108 (3) ◽  
pp. 198-204 ◽  
Author(s):  
W. T. Carter ◽  
D. Lee
Keyword(s):  
Finite Element ◽  
Friction Coefficient ◽  
Calibration Method ◽  
Internal Diameter ◽  
Element Analysis ◽  
Interfacial Conditions ◽  
The Finite Element Analysis ◽  
Updated Lagrangian Formulation ◽  
Updated Lagrangian ◽  
Experimental Findings

Analytical modeling of deformation processing methods requires a thorough understanding of the die–billet interfacial conditions, in particular, the nature of frictional boundary conditions. In order to gain insight into the role of friction on the deformation behavior of metals under uniaxial compression, a series of carefully controlled experiments were made with 6061-T6 aluminum cylinder and ring specimens. From measurements of the change in internal diameter and the height of the ring specimens, the average friction coefficient can be found using the calibration method proposed by Male and Cockcroft. Using this friction coefficient, a series of finite element analyses were made to model the deformation of solid aluminum cylinders which were compressed under identical die–billet contact conditions. An updated Lagrangian formulation and the contact surface algorithm of the ADINA finite element code were used in the analysis. Comparison of the experimental findings with those of the finite element analysis shows some discrepancies; possible causes for these differences are identified.

Nonlinear finite element analysis of three-dimensional frames

1994 ◽  
Vol 21 (3) ◽  
pp. 461-470 ◽  
Author(s):  
M. Savard ◽  
D. Beaulieu ◽  
M. Fafard
Keyword(s):  
Finite Element ◽  
Residual Stresses ◽  
Three Dimensional ◽  
Order Effects ◽  
Lagrangian Description ◽  
Element Analysis ◽  
Shallow Arches ◽  
Plane Frames ◽  
Thin Walled ◽  
Updated Lagrangian

This paper presents a numerical model for the nonlinear analysis of three-dimensional frames using the finite element method. The model is based on a general variational formulation for thin-walled beams with open or closed sections; the mathematical development uses an updated Lagrangian description for shallow arches, taking into account geometrical and material nonlinearities, residual stresses, member initial imperfections, warping, and connection flexibility. The model has been used to evaluate second-order effects and the influence of residual stresses and joint flexibility on the behavior of plane frames. A semirigid space frame has been analyzed and the gain in rigidity offered by a horizontal rigid diaphragm has been evaluated. Key words: analysis, connection, finite element, nonlinearity, residual stress, thin-walled beams, warping.

Axisymmetric Finite Element Modeling of Block Pavement Subjected to Repeated Loading

2000 ◽  
Vol 1730 (1) ◽  
pp. 53-63
Author(s):  
Koon Meng Chua ◽  
Zehra Askree ◽  
Brian Shackel
Keyword(s):  
Finite Element ◽  
Three Dimensional ◽  
Concrete Block ◽  
Repeated Loading ◽  
Element Analysis ◽  
Solid Of Revolution ◽  
Straight Beam ◽  
Dimensional Finite Element ◽  
Updated Lagrangian ◽  
Three Dimensional Finite Element

A two-dimensional finite element code, PAVE2D, is used to model a concrete block pavement as a solid of revolution. However, use of this approach in its normal form poses a difficulty—the relatively stiff elements near the axis of revolution cannot rotate. It is proposed that the stiffness of these elements be modified to allow some degree of rotation that would still give a reasonable state of stress. This is done by determining a ratio of the modulus of a flat circular plate and that of a straight beam of equal span and thickness that would give an equal rotation along the entire span. This ratio is used to reduce the modulus of the elements representing the concrete blocks according to their proximity from the axis of revolution. PAVE2D is a large deformation capable code that has an updated Lagrangian formulation. The proposed method has an advantage over the traditional three-dimensional finite element analysis because it accommodates stress-related nonlinearity and geometric nonlinearity, and it is capable of simulating loading and unloading without huge computing resource requirements. The computer simulations shown include modeling a field test in which a 70-mm-thick block pavement was subjected to loading from a falling weight deflectometer and modeling block pavements 80 mm and 120 mm thick subjected to repeated loading. The proposed method can be used to evaluate different block shapes and arrangements and can be used to predict rutting characteristics of these pavements. The method applies to rigid pavement.

The contact and friction problem in the rolling process

2000 ◽  
Vol 214 (1) ◽  
pp. 61-69
Author(s):  
J D Lee ◽  
S Shen
Keyword(s):  
Finite Element ◽  
Virtual Work ◽  
Large Strain ◽  
Three Dimensional ◽  
Rolling Process ◽  
Shear Stresses ◽  
Time Step ◽  
Element Analysis ◽  
Friction Law ◽  
Updated Lagrangian

In this work, a new generalized non-Euclidean friction law is proposed. This friction law allows the friction coefficients in the tangential and axial directions of the roll to be different. A three-dimensional, large-strain, non-steady state elastic-plastic finite element analysis has been performed for the flat rolling process. The contact and friction problem at the interface between the workpiece and the rolls is treated rigorously. The finite element procedures are based on the updated Lagrangian virtual work equations in incremental form. The solution at each time step is accepted only if the equilibrium of nodal forces, the calculation of which is an exact treatment, is reached pointwise. The numerical results, including the interfacial normal and shear stresses, are presented and discussed.

Effects of occlusal scheme on All-on-Four abutments, screws and prostheses: A three-dimensional finite element study

2020 ◽  
Author(s):  
Nurullah Türker ◽  
Hümeyra Tercanlı Alkış ◽  
Steven J Sadowsky ◽  
Ulviye Şebnem Büyükkaplan
Keyword(s):  
Finite Element ◽  
Three Dimensional ◽  
Good Prognosis ◽  
Von Mises Stress ◽  
Element Analysis ◽  
Group Function ◽  
Occlusal Contact ◽  
Maximum Deformation ◽  
Contact Points ◽  
Von Mises

An ideal occlusal scheme plays an important role in a good prognosis of All-on-Four applications, as it does for other implant therapies, due to the potential impact of occlusal loads on implant prosthetic components. The aim of the present three-dimensional (3D) finite element analysis (FEA) study was to investigate the stresses on abutments, screws and prostheses that are generated by occlusal loads via different occlusal schemes in the All-on-Four concept. Three-dimensional models of the maxilla, mandible, implants, implant substructures and prostheses were designed according to the All-on-Four concept. Forces were applied from the occlusal contact points formed in maximum intercuspation and eccentric movements in canine guidance occlusion (CGO), group function occlusion (GFO) and lingualized occlusion (LO). The von Mises stress values for abutment and screws and deformation values for prostheses were obtained and results were evaluated comparatively. It was observed that the stresses on screws and abutments were more evenly distributed in GFO. Maximum deformation values for prosthesis were observed in the CFO model for lateral movement both in the maxilla and mandible. Within the limits of the present study, GFO may be suggested to reduce stresses on screws, abutments and prostheses in the All-on-Four concept.

Towards Predicting Relative Belt Edge Endurance With the Finite Element Method

1990 ◽  
Vol 18 (4) ◽  
pp. 216-235 ◽  
Author(s):  
J. De Eskinazi ◽  
K. Ishihara ◽  
H. Volk ◽  
T. C. Warholic
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Three Dimensional ◽  
The Finite Element Method ◽  
Shear Deformations ◽  
Element Analysis ◽  
Vertical Loading ◽  
Predicted Values ◽  
Element Method

Abstract The paper describes the intention of the authors to determine whether it is possible to predict relative belt edge endurance for radial passenger car tires using the finite element method. Three groups of tires with different belt edge configurations were tested on a fleet test in an attempt to validate predictions from the finite element results. A two-dimensional, axisymmetric finite element analysis was first used to determine if the results from such an analysis, with emphasis on the shear deformations between the belts, could be used to predict a relative ranking for belt edge endurance. It is shown that such an analysis can lead to erroneous conclusions. A three-dimensional analysis in which tires are modeled under free rotation and static vertical loading was performed next. This approach resulted in an improvement in the quality of the correlations. The differences in the predicted values of various stress analysis parameters for the three belt edge configurations are studied and their implication on predicting belt edge endurance is discussed.

Nonlinear Viscoelastic Finite Element Analysis of Adhesive Joints

1988 ◽  
Vol 16 (3) ◽  
pp. 146-170 ◽  
Author(s):  
S. Roy ◽  
J. N. Reddy
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Viscoelastic Behavior ◽  
Bonded Joints ◽  
Adhesively Bonded ◽  
Element Analysis ◽  
Adhesively Bonded Joints ◽  
Nonlinear Viscoelastic ◽  
Structural Failures ◽  
Updated Lagrangian

Abstract A good understanding of the process of adhesion from the mechanics viewpoint and the predictive capability for structural failures associated with adhesively bonded joints require a realistic modeling (both constitutive and kinematic) of the constituent materials. The present investigation deals with the development of an Updated Lagrangian formulation and the associated finite element analysis of adhesively bonded joints. The formulation accounts for the geometric nonlinearity of the adherends and the nonlinear viscoelastic behavior of the adhesive. Sample numerical problems are presented to show the stress and strain distributions in bonded joints.

Torsional Analysis of a Steel Cord-Rubber Tire Belt Structure

1996 ◽  
Vol 24 (4) ◽  
pp. 339-348 ◽  
Author(s):  
R. M. V. Pidaparti
Keyword(s):  
Finite Element ◽  
Finite Element Model ◽  
Composite Structures ◽  
Three Dimensional ◽  
Element Model ◽  
Torsional Stiffness ◽  
Element Analysis ◽  
Rubber Belt ◽  
Steel Cord ◽  
Torsional Analysis

Abstract A three-dimensional (3D) beam finite element model was developed to investigate the torsional stiffness of a twisted steel-reinforced cord-rubber belt structure. The present 3D beam element takes into account the coupled extension, bending, and twisting deformations characteristic of the complex behavior of cord-rubber composite structures. The extension-twisting coupling due to the twisted nature of the cords was also considered in the finite element model. The results of torsional stiffness obtained from the finite element analysis for twisted cords and the two-ply steel cord-rubber belt structure are compared to the experimental data and other alternate solutions available in the literature. The effects of cord orientation, anisotropy, and rubber core surrounding the twisted cords on the torsional stiffness properties are presented and discussed.

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