scholarly journals An analytical model of plate rolling force with a simple available velocity field and equal perimeter yield criterion

2017 ◽  
Vol 9 (9) ◽  
pp. 168781401772883
Author(s):  
Li Wang ◽  
Xiaoyan Zhu ◽  
Dewen Zhao ◽  
Dianhua Zhang
Keyword(s):  
Velocity Field ◽  
Analytical Model ◽  
Rolling Force ◽  
Yield Criterion ◽  
Plate Rolling

Slab analysis based on stream function method in chamfer edge rolling of ultra-heavy plate

2016 ◽  
Vol 231 (7) ◽  
pp. 1237-1251
Author(s):  
JG Ding ◽  
HY Wang ◽  
DH Zhang ◽  
DW Zhao
Keyword(s):  
Velocity Field ◽  
Stream Function ◽  
Function Method ◽  
Rolling Force ◽  
Yield Criterion ◽  
Three Dimensional ◽  
Total Power ◽  
Shape Coefficient ◽  
Heavy Plate ◽  
Dog Bone

In this paper, three-dimensional velocity field is proposed by means of stream function method with bisecting yield criterion in chamfer edge rolling of ultra-heavy plate. Parabolic dog-bone shape function is derived so as to obtain velocity field with fixed angle of chamfer edge by stream function method, dog-bone shape coefficient η can be derived from volume invariant condition, and then the plastic deformation power, shear power as well as friction power are obtained respectively with the bisecting yield criterion. Summing up the power contributions, total power functional is presented, from which minimum value can be obtained by searching method, and vertical rolling force and torque are also finally obtained. The predictions of roll force and torque are compared with different angles of chamfer edge as well as different plate thicknesses. The results are shown to be in a very good agreement with the analytical and experimental results.

Analysis of Hot Tandem Rolling Force with Logarithmic Velocity Field and EA Yield Criterion

2014 ◽  
Vol 21 (3) ◽  
pp. 295-299 ◽  
Author(s):  
Jian-zhao Cao ◽  
De-wen Zhao ◽  
Shun-hu Zhang ◽  
Wen Peng ◽  
Shu-zong Chen ◽  
...  
Keyword(s):  
Velocity Field ◽  
Rolling Force ◽  
Yield Criterion

A novel analytical model based on arc tangent velocity field for prediction of rolling force in strip rolling

Meccanica ◽  
2020 ◽  
Vol 55 (7) ◽  
pp. 1453-1462
Author(s):  
Guanghui You ◽  
Si Li ◽  
Zhigang Wang ◽  
Rui Yuan ◽  
Meiling Wang
Keyword(s):  
Velocity Field ◽  
Analytical Model ◽  
Rolling Force ◽  
Strip Rolling ◽  
Model Based

A Yield Criterion of Porous Materials With Anisotropy Caused by Geometry or Distribution of Pores

1991 ◽  
Vol 113 (4) ◽  
pp. 425-429 ◽  
Author(s):  
T. Hisatsune ◽  
T. Tabata ◽  
S. Masaki
Keyword(s):  
Velocity Field ◽  
Porous Materials ◽  
Upper Bound ◽  
Volume Fraction ◽  
Yield Criterion ◽  
Longitudinal Direction ◽  
Axisymmetric Deformation ◽  
The Other ◽  
The Matrix ◽  
Spherical Cells

Axisymmetric deformation of anisotropic porous materials caused by geometry of pores or by distribution of pores is analyzed. Two models of the materials are proposed: one consists of spherical cells each of which has a concentric ellipsoidal pore; and the other consists of ellipsoidal cells each of which has a concentric spherical pore. The velocity field in the matrix is assumed and the upper bound approach is attempted. Yield criteria are expressed as ellipses on the σm σ3 plane which are longer in longitudinal direction with increasing anisotropy and smaller with increasing volume fraction of the pore. Furthermore, the axes rotate about the origin at an angle α from the σm-axis, while the axis for isotropic porous materials is on the σm-axis.

LOAD-CARRYING CAPACITIES FOR CIRCULAR METAL FOAM CORE SANDWICH PANELS AT LARGE DEFLECTION

2008 ◽  
Vol 22 (31n32) ◽  
pp. 6218-6223 ◽  
Author(s):  
W. HOU ◽  
Z. WANG ◽  
L. ZHAO ◽  
G. LU ◽  
D. SHU
Keyword(s):  
Finite Element ◽  
Velocity Field ◽  
Large Deflection ◽  
Metal Foam ◽  
Yield Criterion ◽  
Metallic Foam ◽  
Foam Core ◽  
Element Simulation ◽  
Load Carrying ◽  
Good Agreement

This paper is concerned with the load-carrying capacities of a circular sandwich panel with metallic foam core subjected to quasi-static pressure loading. The analysis is performed with a newly developed yield criterion for the sandwich cross section. The large deflection response is estimated by assuming a velocity field, which is defined based on the initial velocity field and the boundary condition. A finite element simulation has been performed to validate the analytical solution for the simply supported cases. Good agreement is found between the theoretical and finite element predictions for the load-deflection response.

Development of a Mathematical Model of Plate Rolling on Hot Reversing Mills

2017 ◽  
Vol 746 ◽  
pp. 48-55
Author(s):  
Vasiliy V. Yashin ◽  
Evgenii V. Aryshenskii ◽  
Erkin D. Beglov ◽  
Maksim S. Tepterev ◽  
Anna F. Grechnikova
Keyword(s):  
Rolling Force ◽  
Work Roll ◽  
Calculation Model ◽  
Production Environment ◽  
Plate Rolling ◽  
Process Reliability ◽  
Calculation Results ◽  
Roll Gap ◽  
Relationship Of ◽  
Force Calculation

Objective of the work: develop a model for calculation of plate exit thickness. This model is supposed to improve process reliability in obtaining specified thickness with +/- 0.5 mm tolerance. The work identifies major influences on obtaining specified thickness and relationship of their effects. Based on derived relationships, the work develops rolling force calculation model with the following inputs: alloy grade, feedstock temperature, feedstock entry and exit gage, feedstock width, rotational speed of the rolls. Mill stand characteristics, like mill stiffness, backlash, work roll behavior, were studied in relation to force and temperature. The resulting model allows to predict the value of work roll gap increase during rolling. The model was validated in production environment and demonstrated high confidence level of calculation results.

Analytical and Numerical Prediction of Springback of SS/Al-Alloy Cladded Sheet in V-Bending

2020 ◽  
Vol 143 (3) ◽  
Author(s):  
Pankaj Kumar Sharma ◽  
Vijay Gautam ◽  
Atul Kumar Agrawal
Keyword(s):  
Analytical Model ◽  
Outer Layer ◽  
Numerical Models ◽  
Yield Criterion ◽  
Bending Moment ◽  
Analytical Models ◽  
Bend Angle ◽  
Radius Of Curvature ◽  
Al Alloy ◽  
First Case

Abstract The present work deals with the development of an analytical model incorporating the effects of anisotropy and strain hardening to predict the springback in V-bending of two-ply sheet metal using a punch profile radius of 15 mm and included a bend angle of 90 deg. In the analytical model, the total bending moment is determined from resulting bending stresses for two different layers arranged in parallel planes one above the other and a new radius of curvature after springback is determined by applying a negative bending moment. The two-ply sheet composed of layers of AA1050 and SS430 is characterized for its tensile properties to be used in analytical and numerical models for prediction of springback. To study the effect of each layer during bending operation, two possible cases of sheet placements during bending and springback are studied; i.e., in the first case, the inner layer is of AA1050 while the SS430 layer is the outer layer whereas in the second case it is opposite. In all the cases of springback experiments when the outer layer is of SS430, the springback values are higher than the values obtained with the specimens when the inner layer is of SS430. This could be attributed to the higher tensile strength of the stainless steel layer and the higher bending radius experienced by it. The springback behaviors are also analyzed by simulations using Hill's anisotropic yield criterion in abaqus software. The springback results obtained by simulations and analytical models are in good agreement in general; however, in some cases, discrepancy of more than 15% is observed in the analytical results when compared with the experimental results.

Load Spectrum Test and Numerical Simulation on the Rolling Rack for Dynamic Design and Control

2011 ◽  
Vol 346 ◽  
pp. 405-411
Author(s):  
Wu Zhao ◽  
Dan Huang
Keyword(s):  
Finite Element ◽  
Rolling Mill ◽  
Rolling Force ◽  
Sheet Thickness ◽  
Product Variety ◽  
Stable Operation ◽  
Field Calculation ◽  
Load Spectrum ◽  
Dynamic Design ◽  
Plate Rolling

The sustained rolling mill vibration on high-speed cold rolling mill or smooth mill could cause that periodicity sheet thickness difference or board light and dark stripes, or rolling processing interruption for the large vibration intensity. Dynamic load behavior of the rolling mill rack including the load magnitude and load property usually was the reason of the vibration, which caused the vibration modal with diversity and uncertainty. Three-dimensional solid modeling software and finite element analysis software had been used to realize computer simulation on deformation and stress field calculation of the rack rolling mill for completing rolling processing performance evaluation of the plate rolling mill. By strain gauges being layout to be half-bridge circuit in its suitable location to detect the one-direction strain on the rack, the loading capacity of rolling mill’s rack was studied for its dynamic characterization behavior. By extracting rolling force signal on actual measured and statistical analyzing calculations of experimental data on the plate rolling mill, rolling force load spectrum was obtained. Analysis model on rack was established in order to calculate and analyze mechanical and power parameters based on finite element method. It was used for improving dynamic design, also for analyzing mechanical and power parameters matching with increasing production and product variety under rolling schedule reinforcement. This study work provide theoretical foundation on ensuring stable operation of equipment, which was benefits on increasing production and product variety, even rolling processing potential scope.

scholarly journals Modeling of rolling force of ultra-heavy plate accounting for gradient temperature

2021 ◽  
Vol 13 (9) ◽  
pp. 168781402110476
Author(s):  
Shun Hu Zhang ◽  
Li Zhi Che
Keyword(s):  
Temperature Distribution ◽  
Velocity Field ◽  
Decomposition Method ◽  
Rolling Force ◽  
Metal Flow ◽  
Maximum Error ◽  
Root Vector ◽  
Force Model ◽  
Heavy Plate ◽  
Vector Decomposition

In this paper, the nonlinear specific plastic power of the Mises criterion is integrated analytically to establish the rolling force model of gradient temperature rolling for an ultra-heavy plate by a new method called the root vector decomposition method. Firstly, the sinusoidal velocity field is proposed in terms of the characteristics of metal flow during ultra-heavy plate rolling, which satisfies the kinematically admissible condition. Meanwhile, the characteristics of the temperature distribution along the thickness direction of the plate during the gradient temperature rolling is described mathematically. Based on the velocity field and the temperature distribution expression, the rolling energy functional is obtained by using the root vector decomposition method, and the analytical solution of rolling force is derived according to the variational principle. Through comparison and verification, the rolling force model solved by the root vector decomposition method in this paper is in good agreement with the measured one, and the maximum error of the rolling force is just 10.21%.

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