Simulation of rolling processes by the boundary element method

Rolling processes play a very important role in everyday manufacturing. It is demonstrated here that the boundary element method (BEM) can be used to analyze, effectively and accurately, this class of problems involving both material and geometric nonlinearities, as well as contact boundary conditions. The BEM formulation is capable of using any of a class of combined creep-plasticity constitutive models with state variables for the description of material behavior. The specific problem considered is plane strain slab rolling using the constitutive model originally proposed by Hart. The numerical results obtained from the BEM analysis provide a lot of insights into the process and can become a useful tool in designing these rolling operations.

[1]  B. Torstenfelt,et al.  Contact problems with friction in general purpose finite element computer programs , 1983 .

[2]  Musharraf Zaman,et al.  Thin‐layer element for interfaces and joints , 1984 .

[3]  R. Hill The mathematical theory of plasticity , 1950 .

[4]  Paul R. Dawson,et al.  A model for the hot or warm forming of metals with special use of deformation mechanism maps , 1984 .

[5]  L. Herrmann Finite Element Analysis of Contact Problems , 1978 .

[6]  A. Chandra A Generalized Finite Element Analysis of Sheet Metal Forming With an Elastic-Viscoplastic Material Model , 1986 .

[7]  S. Mukherjee,et al.  Boundary element formulations for large strain-large deformation problems of viscoplasticity , 1984 .

[8]  P. R. Dawson,et al.  Steady-state thermomechanical finite element analysis of elastoviscoplastic metal forming processes , 1977 .

[9]  J. Oden,et al.  A numerical analysis of a class of problems in elastodynamics with friction , 1983 .

[10]  Anil Chaudhary,et al.  A SOLUTION METHOD FOR PLANAR AND AXISYMMETRIC CONTACT PROBLEMS , 1985 .

[11]  Shiro Kobayashi,et al.  Rigid-Plastic Finite-Element Analysis of Plane Strain Rolling , 1982 .

[12]  P. M. Ku ASME winter annual meeting , 1978 .

[13]  P. K. Banerjee,et al.  Boundary element methods in engineering science , 1981 .

[14]  Paul R. Dawson,et al.  On the use of internal variable constitutive equations in transient forming processes , 1987 .

[15]  S. Atluri,et al.  A study of two finite strain plasticity models: An internal time theory using Mandel's director concept, and a general isotropic/kinematic-hardening theory , 1987 .

[16]  Y. F. Dafalias,et al.  Corotational Rates for Kinematic Hardening at Large Plastic Deformations , 1983 .

[17]  S. Atluri,et al.  Analyses of large quasistatic deformations of inelastic bodies by a new hybrid-stress finite element algorithm , 1983 .

[18]  Παντελεημων Αλεξοπουλοσ AN EXPERIMENTAL INVESTIGATION OF TRANSIENT DEFORMATION BASED ON A STATE VARIABLE APPROACH , 1981 .

[19]  E. Orowan,et al.  The Calculation of Roll Pressure in Hot and Cold Flat Rolling , 1943 .

[20]  J. Oden,et al.  A numerical analysis of a class of contact problems with friction in elastostatics , 1982 .

[21]  E. Zolti A finite element procedure to time dependent contact analysis , 1983 .

[22]  S. Mukherjee,et al.  An Analysis of Large Strain Viscoplasticity Problems Including the Effects of Induced Material Anisotropy , 1986 .

[23]  Betzalel Avitzur Metal Forming: The Application of Limit Analysis , 1980 .

[24]  R. L. Mallett,et al.  Stress and deformation analysis of the metal extrusion process , 1977 .

[25]  S. Atluri,et al.  Analyses of large quasistatic deformations of inelastic bodies by a new hybrid-stress finite element algorithm: Applications , 1983 .

[26]  S. Atluri,et al.  Constitutive modeling and computational implementation for finite strain plasticity , 1985 .

[27]  J. M. Alexander On the theory of rolling , 1972, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[28]  S. Mukherjee,et al.  A finite element analysis of metal forming processes with thermomechanical coupling , 1984 .

[29]  Kozo Osakada,et al.  Simulation of plane-strain rolling by the rigid-plastic finite element method , 1982 .

[30]  S. Mukherjee,et al.  A Boundary Element Analysis of Metal Extrusion Processes , 1987 .

[31]  W. Gehler 4. Das räumliche Problem der Schneidenfestigkeit plastischer Stoffe und das Dehnungsgesetz im unelastischen Druckbereich , 1925 .

[32]  E. W. Hart Constitutive Relations for the Nonelastic Deformation of Metals , 1976 .

[33]  Taylan Altan,et al.  Application of FEM Modeling to Simulate Metal Flow in Forging a Titanium Alloy Engine Disk , 1983 .