Application of the method of finite elements to the simulation of casting process

Abstract

One of the biggest problems in the process of casting, is how to determine the distribution of temperature, taking into consideration the effects of several mechanisms of heat exchange. The experimental methods being rather expensive and complicated, the numerical methods are nowadays applied largely. Differential equations of heat conduction are derived according to the basic laws of continuum mechanics, taking into account the phase changes during the casting. The equations obtained are solved by the method of finite elements. In this way, a new scientific discipline is established within the scope of continuum mechanics. As an application of the described procedure, the temperature fields in the casting process of alloyed casting are determined.

Jedan od najsloženijih problema pri livenju je kako i na koji način da se odredi raspodela temperature, obzirom na dejstvo više mehanizama razmene toplote. Kako su eksperimentalne metode dosta skupe i složene, u novije vreme veliku primenu imaju numeričke metode. Polazeći od osnovnih zakona mehanike kontinuuma definisane su diferencijalne jednačine provođenja toplote, uzimajući u obzir fazne promene pri livenju. Dobijene jednačine su rešavane metodom konačnih elemenata. Time je ustanovljena nova naučna disciplina u okviru mehanike kontinuuma. Kao primena opisane procedure određena su temperaturna polja u toku procesa livenja legiranog liva.