Premium
A Newly Developed Upper‐Bound Approach for Calculating the Width Flow in Hot Rolling
Author(s) -
Rasp Wolfgang,
Yusupov Artem
Publication year - 2005
Publication title -
steel research international
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.603
H-Index - 49
eISSN - 1869-344X
pISSN - 1611-3683
DOI - 10.1002/srin.200505979
Subject(s) - upper and lower bounds , flow (mathematics) , deformation (meteorology) , limit (mathematics) , boundary (topology) , polynomial , field (mathematics) , mechanics , limit analysis , process (computing) , boundary value problem , geometry , structural engineering , mathematics , mathematical analysis , computer science , engineering , materials science , physics , pure mathematics , composite material , operating system
This paper presents an investigation of the 3D metal‐forming process during hot flat rolling by an upper‐bound approach. The general aspects of this limit analysis refer to the volume deformation taking into account a polynomial propagation of the free side surfaces. In this approach the deformation region is limited by the roll‐gap entrance and exit with parallel planes. It is characterized by a non‐linear velocity field. A mathematical model of an upper‐bound calculation for the symmetrical flat rolling is developed in order to examine the influence of the most relevant functions, namely the velocity field together with the boundary conditions. A comparison of reasonable onsets is proposed. Therefore, the study can offer useful knowledge for better prediction of lateral flow.