This thesis presents a finite element solution to the rolling of prepared cane and other two-phase materials. For the first time, modern porous medium mechanics is applied to prepared cane and the rolling and compression of prepared cane is treated as a fully coupled unsaturated-saturated two phase flow problem. The classical Biot theory for fully saturated materials is extended and modified to suit the present project. The finite element method is applied to the governing equations for spatial discretization, followed by both a full rank Newmark scheme and a reduced rank formulation for the time domian discretization. Two analysis methods (steady-state and transient) are presented. The quasi-static <i>.u</i>-<i>P</i> formulation is extensively used in this thesis and verified through numerical computation. Some comments on the implementation of the computer program for the transient direct solution method are also given. A constitutive relation estimated from the finite element simulation of the constrained compression test cell is also given. This is an important contribution of this thesis and leads the way to innovative modelling of milling operations. A more sophisticated finite element inverse analysis method used to determine a constitutive relation for nonlinear two phase materials is also presented, coded and tested. The computational model of the rolling of prepared cane with two rolls is described in detail. The material parameters of prepared cane are described and their variations during the rolling process are derived and discussed. The results of the numerical analysis show that the model and solution procedures are capable of providing realistic predictions and opens the way for further development.
| Identifer | oai:union.ndltd.org:bl.uk/oai:ethos.bl.uk:636730 |
| Date | January 1994 |
| Creators | Zhao, S. |
| Publisher | Swansea University |
| Source Sets | Ethos UK |
| Detected Language | English |
| Type | Electronic Thesis or Dissertation |
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