Informational Methods in Optimization of Tools

Abstract

This paper seeks to develop a mathematical model of contact interaction, which is applicable to contacting bodies of complex shapes and made from disordered materials; this model should be able to serve also as a theoretical basis for the improvement of efficiency of technological processes which includes the contact interaction between tool and workpiece (among them are drilling, milling, machining, etc). In the first part of the paper, a method of description of the stress state in disordered materials based on the entropy maximization is presented. In the second part, a general characteristics of shapes of contacting bodies is developed on the basis of the information theory methods. Interrelations between these two models, possibilities of their practical application and further development are discussed as well. The main area of application of the developed model should be an optimization of destructing tools; therefore the stronger and weaker contacting bodies will be called in the text below “tool” and “piece”, respectively, what does not influence the generality of results as applied to the modelling of contact interaction of heterogeneous and complex bodies. Table 1 and Figure 1 are presented here with kind permission from Elsevier Science Ltd.