Abstract
This paper presents a theoretical investigation into heat generation in the continued quasistatic plane strain compression of a thin metal strip between two rigid, parallel perfectly rough dies. The strip material is rigid perfectly plastic. The length of the dies is supposed to be much larger than the current strip thickness. The plastic work rate approaches infinity in the vicinity of perfectly rough friction surfaces. Since the plastic work rate is involved in the heat conduction equation, this significantly adds to the difficulties of solutions of this equation. In particular, commercial finite element packages are not capable of solving such boundary value problems. The present approximate solution is given in Lagrangian coordinates. In this case, the original initial/boundary value problem reduces to the standard second initial/boundary value problem for the nonhomogeneous heat conduction equation. Therefore, the Green’s function is available in the literature. An example is presented to illustrate the general solution
Original language  English 

Pages (fromto)  813821 
Journal  Acta Mechanica 
Volume  227 
Issue number  3 
Early online date  14 Nov 2015 
DOIs  
Publication status  Published  01 Mar 2016 
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Wiktoria Miszuris
 Faculty of Business and Physcial Sciences, Department of Mathematics  Research Associate
Person: Research