The paper is about cold rolling without lubrication and the authors claimed that they develop a code following the chart in fig 2 in that paper and explained in many steps through out the paper.
What needed is to implement these steps using Matlab to get exactly same results as shown in Figures 3, 4, 5, 6 in the same paper.
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i understood the problem, it is all about solving the first order differential and to make integration in matlab. i am good at contact problem in matlab.