THERMAL SCIENCE

International Scientific Journal

CONTROL OF THERMAL STRESSES IN AXISSYMMETRIC PROBLEMS OF FRACTIONAL THERMOELASTICITY FOR AN INFINITE CYLINDRICAL DOMAIN

ABSTRACT
In this paper, we study a control problem of thermal stresses in an infinite cylindrical body. The temperature distribution is defined by the time-fractional heat conduction equation with the Caputo derivative of the order 0 < α ≤ 2. The problem is formulated for axisymmetric case. The sought-for heat source function is treated as a control of stress and displacement components. For this purpose, we find the control function which guarantees the distribution of the stress component in some section of a body and at some time at a prescribed level. Integral transform technique is applied to obtain the desired control function, stresses and displacement components. Numerical results are illustrated graphically.
KEYWORDS
PAPER SUBMITTED: 2016-04-21
PAPER REVISED: 2016-05-20
PAPER ACCEPTED: 2016-06-25
PUBLISHED ONLINE: 2016-10-01
DOI REFERENCE: https://doi.org/10.2298/TSCI160421236P
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2017, VOLUME 21, ISSUE 1, PAGES [19 - 28]
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© 2017 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence