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Dynamic Temperature Stresses in Elastic Body with Curved Boundary

Authors: Savelyeva I.Yu. Published: 26.01.2018
Published in issue: #1(76)/2018  
DOI: 10.18698/1812-3368-2018-1-38-46

 
Category: Mathematics and Mechanics | Chapter: Mathematical Physics  
Keywords: temperature stresses, curved boundary, elastic solid, mean curvature

Calculation of temperature stresses under no steady behavior is known to be difficult due to the time-varying basic design parameters. On the basis of a one-dimensional design scheme, we analyzed the influence of the main loading parameters, material properties and the mean curvature of the surface on the temperature and stress distributions. In our research we obtained the analytic solutions for the temperature distribution and asymptotic solutions for small time values for stresses. Moreover, we analyzed the influence of the heat flux relaxation on the temperature and stress distributions in the elastic body under high-intensity surface heating, taking into account the mean curvature of the surface

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