TY - JOUR
TI - Method of determining non-linear temperature distribution across the thick plate thickness that simplifies numerical calculations
AU - Milošević-Mitić Vesna O
AU - Petrović Ana S
AU - Anđelić Nina M
AU - Bogojević Aleksandar R
JN - Thermal Science
PY - 2025
VL - 29
IS - 3
SP - 2437
EP - 2450
PT - Article
AB - In this paper thermal loading of plate elements under several different heat sources (sinks), while sources are defined by the power and time of action, is considered. The heat sources are placed on the plate element sides parallel to the middle plane, while lateral sides are thermally insulated. Firstly, the dynamic problem was solved in closed analytic form using the technique of integral transformations. While discussing numerical examples that represent establishment of a non-linear distribution of temperature across the thickness of the element, laws on the basis of which this distribution can be calculated relatively simply without solving differential equations are established. Based on that idea, for steel elements, two basic diagrams were formed, which represent the procedure for calculating the temperature distribution. The procedure defined in this paper is suitable for simplifying the procedure of deformation and stress calculations of some real thermal loaded structures, using the finite element method.