Skip to main content
placeholder image

Analysis of slab edging by a 3-D rigid viscoplastic FEM with the combination of shifted incomplete Cholesky decomposition and the conjugate gradient method

Journal Article


Abstract


  • Edging of slab is an important process to reduce or control width in the roughing stand of hot strip mills. Simulation of the edging process was performed by the rigid viscoplastic FEM. Shifted incomplete Cholesky decomposition of the stiffness matrix combined with the conjugate gradient method, designated the shifted ICCG method, is employed for the first time in a 3-D rigid viscoplastic FEM to solve the slab edging problem. The performance of the algorithm has been analyzed in terms of CPU time, frictional boundary conditions, shift parameter ψ, memory requirement and mesh size; the computed rolling forces are examined. The numerical calculation shows, this method can result in substantial saving in memory with the potential to permit use of a smaller machine but requires a large increase in CPU time. It is shown, however to be effective for the solution of a problem such as that of the simulation of the slab edging process by the 3-D rigid viscoplastic FEM.

UOW Authors


  •   Jiang, Zhengyi (external author)

Publication Date


  • 2001

Citation


  • Jiang, Z. Y., Hu, W. P., Thomson, P. P., & Lam, Y. C. (2001). Analysis of slab edging by a 3-D rigid viscoplastic FEM with the combination of shifted incomplete Cholesky decomposition and the conjugate gradient method. Finite elements in analysis and design, 37(2), 145-158. doi:10.1016/S0168-874X(00)00028-7

Scopus Eid


  • 2-s2.0-0035252259

Start Page


  • 145

End Page


  • 158

Volume


  • 37

Issue


  • 2

Abstract


  • Edging of slab is an important process to reduce or control width in the roughing stand of hot strip mills. Simulation of the edging process was performed by the rigid viscoplastic FEM. Shifted incomplete Cholesky decomposition of the stiffness matrix combined with the conjugate gradient method, designated the shifted ICCG method, is employed for the first time in a 3-D rigid viscoplastic FEM to solve the slab edging problem. The performance of the algorithm has been analyzed in terms of CPU time, frictional boundary conditions, shift parameter ψ, memory requirement and mesh size; the computed rolling forces are examined. The numerical calculation shows, this method can result in substantial saving in memory with the potential to permit use of a smaller machine but requires a large increase in CPU time. It is shown, however to be effective for the solution of a problem such as that of the simulation of the slab edging process by the 3-D rigid viscoplastic FEM.

UOW Authors


  •   Jiang, Zhengyi (external author)

Publication Date


  • 2001

Citation


  • Jiang, Z. Y., Hu, W. P., Thomson, P. P., & Lam, Y. C. (2001). Analysis of slab edging by a 3-D rigid viscoplastic FEM with the combination of shifted incomplete Cholesky decomposition and the conjugate gradient method. Finite elements in analysis and design, 37(2), 145-158. doi:10.1016/S0168-874X(00)00028-7

Scopus Eid


  • 2-s2.0-0035252259

Start Page


  • 145

End Page


  • 158

Volume


  • 37

Issue


  • 2