Calculation of Solidification of Castings by a Matrix Method

A numerical calculation method, " A4atrix M ethod ", is proposed Jor the calculation oj solidification of castings Jor complicated sha/)e.and two examples are shown.This method has been arrived at by extending D usinberre's Triangular Network M ethod alld ap/)iying the Finite Element M ethod (FEM ).The /)ro/)osed method has the following advantages over F Elvl and the conven tional Finite D ifference M ethod (FDM ) .(I) The physical meaning of the method is clearer thall that oj FEM.(2) Various elements, such as triangular element with three or six nodes, triangular ring element, rectangular parallelepiped element and so on, can be more easily employed in this method than ill FEA1 or FDA4.(3) Solidification problems with irregular boundaries call be more easily handled by the present method than by FDM.