THERMAL SCIENCE

International Scientific Journal

Thermal Science - Online First

Vesna O. Milošević-Mitić

,

Ana S. Petrović

,

Nina M. Anđelić

,

Aleksandar R. Bogojević

online first only

Method of determining non-linear temperature distribution across the thick plate thickness that simplifies numerical calculations

ABSTRACT
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.
KEYWORDS
temperature, temperature distribution, integral transformation, Heat source, thick plate, stress
PAPER SUBMITTED: 2024-07-05
PAPER REVISED: 2024-11-06
PAPER ACCEPTED: 2024-11-12
PUBLISHED ONLINE: 2024-12-07
DOI REFERENCE: https://doi.org/10.2298/TSCI240705262M
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Method of determining non-linear temperature distribution across the thick plate thickness that simplifies numerical calculations