Temperature stresses due to a heat source located on one side of a straight wedge

1966 ◽  
Vol 11 (6) ◽  
pp. 387-388 ◽  
Author(s):  
V. M. Khorol'skii
Author(s):  
Евгений Евгеньевич Абашкин ◽  
Анастасия Валерьевна Ткачева

Работа посвящена исследованию температурных напряжений в пластине из среднеуглеродистой легированной стали, по поверхности которой с определенной скоростью проходит прямолинейно источник тепла. Математическая модель строится на основе модели Прандтля - Рейса, в которой закон Гука заменен законом Дюамеля - Неймана. В качестве условия пластического течения принимается условие Мизесса, где предел текучести параболически зависит от температуры. Рассматриваются поля остаточных напряжений в зависимости от скорости прохождения источника тепла. Значения остаточных напряжений, полученные в результате расчета, сравниваются с экспериментальными напряжениями, снятыми с пластины при помощи анализатора остаточных напряжений RIGAKU. The work is devoted to the study of temperature stresses in a plate made of mediumcarbon alloy steel on the surface of which a heat source passes rectilinearly at a certain speed. The mathematical model is based on the Prandtl - Reis model, in which Hooke’s law is modified by the Duhamel - Neumann law. As a condition for plastic flow, the Mises condition is accepted, where the yield strength of the parabolic depends on the temperature. The residual stress fields are considered depending on the speed of the heat source passage. The resulting residual stresses are compared with the experimental stresses taken from the plate using the Rigaku residual stress analyzer.


2020 ◽  
pp. paper53-1-paper53-11
Author(s):  
Aleksandr Plaksin ◽  
Alexey Tolok

The paper presents an approach developed on the basis of the functional voxel method to the geometric representation of the thermal expansion of objects and temperature stresses in a material when exposed to a surface of a heat source. A discrete geometric law of a single temperature stress in an isotropic heat-conducting body is derived, applicable in the concept of functional voxel modeling. Based on this law, functional-voxel models of thermal stress are developed for a single and distributed application of a heat source. Algorithms of functional-voxel modeling of temperature stress and expansion in the case of distributed thermal loading are presented, which make it possible to construct a loading region of a complex configuration, uniformly form a contour (surface) after material expansion and obtain information about changes in the length (volume) of products. The advantages of the proposed functional-voxel approach to modeling thermal expansion and stress over approaches based on the FEM are substantiated.


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