NOVEL COMPUTATIONS OF A MOVING BOUNDARY HEAT-CONDUCTION PROBLEM APPLIED TO EDM TECHNOLOGY
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abstract
A computational procedure is presented to solve a model for thermal conduction which properly describes erosion rates for the anodic material in electric-discharge machining (EDM) processes. The shape and size of melt craters obtained by electric sparks in EDM are calculated numerically by use of a model for thermal conduction. The computational procedure is based on the exact solution of the associated problem of 2-D transient conduction in a semi-infinite body subjected to a uniform time-dependent heat flux over a small circular part of its surface. The superposition principle in conjunction with adjustable heat sources is used to cope with the time-dependent boundary conditions. Stability is not a consideration in the present method, which requires less computational time than other methods, particularly for long-time solutions. Because discretization of time or space is not used, the present method can be used to calculate the temperature at any location and time. In contrast, finite-element or finite-difference methods must compute all of the nodal temperatures at each time step. These constraints may lead to schemes that become either inaccurate or unstable, or introduce spurious oscillations in the solution for a domain of a realistic grid-size. The method is in general more complicated to formulate and more tedious to program, but is less costly in the numerical implementation and faster compared to other numerical methods. 1991.
