Numerical Study of the Influence of Ambient Temperature on the Thermo-stress-Strain State of a Rod with a Curvilinear Core

The paper considers a horizontal rod of finite length of variable cross-section. The cross-section radius of the rod varies nonlinearly along its length. Due to this, the core of the rod will be curvilinear. The side surface of this rod is thermally insulated. The cross section radius of the left end of the rod is smaller than the right end. A heat flux of constant intensity is applied to the cross-sectional area of the left end of the rod. Through the cross-sectional area of the right end of the rod, heat exchange with the environment T_oc [℃] takes place. Five-case ambient temperature Toc÷[10, 20, 30, 40, 50]℃ is considered. The influence of the ambient temperature on the thermal stress-strain state of the rod under study is numerically investigated. The main solving equations are derived from the thermal energy conservation condition. An algorithm and a programme have been developed that allow a series of computational experiments to investigate the thermal stress-strain state of a rod with curvilinear formations under the influence of ambient temperature. The law of temperature distribution was determined and, in the case of pinching only one end of the rod, the thermal elongation was determined. In the case of pinching both ends of the rod, the thermal axial force as a function of ambient temperature is determined. Also, the laws of distribution of thermoelastic, thermal and elastic components of deformations and stresses depending on the value of the ambient temperature are determined. Further, by the method of minimisation of potential energy taking into account the temperature field, the displacement field depending on the ambient temperature was determined. The study was carried out using a computational method based on the law of conservation of thermal energy