Abstract
The chapter contains information on the special problems of thermal integrity, which can be of interest for the readers aimed to gain deepened understanding about some peculiarities of materials’ and constructions’ behavior at elevated temperatures. For problems of non-isothermal dynamics (Sect. 12.1), it is shown that influence of the material thermal extension on detail natural oscillation frequencies with temperature increase can be different. Alteration of contact conditions between machine parts (for example, change negative clearances on tightness or on the contrary) and occurrence of the temperature stresses, especially in thin-walled structures, can change their rigidity and the frequency spectrum. A possibility of directional change of a body shape by serial variable heating of its separate body sections having various elastoplastic temperature-dependent mechanical properties is demonstrated in Sect. 12.2. This effect, used in a number of technological processes, is illustrated on simple examples. Though in the majority of practical thermal strength problems, the temperature state of a body is supposed known and not dependent on its stress–strain state, and for an explanation of some effects, it is necessary to address to the “coupled” theory of the thermoelasticity considering thermodynamic link of mechanical and thermal processes. The bases of this theory in rather simple treatment are stated in Sect. 12.3. The coupling effect is illustrated by calculations of energy dispersion during elastic vibrations and influence of convective heat exchange on material deformation at tensile trials. In Sect. 12.4, the fundamentals of the wave theory of thermal conductivity considering (unlike the classical theory) a finite speed of thermal stream and temperature propagation over a solid are briefly stated, and the influence of this factor on unsteady temperatures and stresses propagation at a heat shock on a semi-infinite body is shown.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Babitsky VI (1978) Theory of vibro-impact systems. Approximated methods (in Russian). Nauka, Moscow
Birger IA, Shorr BF (eds) (1975) Thermal strength of machine parts (in Russian). Mashinostroenie, Moscow
Boley BA, Weiner JH (1960) Theory of thermal stresses. Wiley, New York
Danilovskaya VI (1950) Thermal stresses in elastic half-space induced by sudden heating of its boundary (in Russian). J PMM 14(3)
Duhamel JMC (1837) Deuxième memoire sur les phénomènes thermo-mécaniques. Journal de l’Ecole Polytechnique 15(25):1–57
Gokhfeld GA (1961) On possibility of plastic strains increasing as result of temperature cyclic effects (in Russian). In: Proceedings of “Raschety na Prochnost”, vol 7. Mashgis, Moscow
Gokhfeld DA, Laptevsky AG (1968) Forming under thermal alternation and some technological applications (in Russian). In: Problemy Prochnosty Tekhnicheskikh Konstruktsiy, No. 45, Chelyabinsk Polytechnic Institute
Mura T (1956) Dynamical thermal stresses due to thermal shocks. Research reports, Faculty of Engineering, Meiji University 8
Parkus H (1959) Instationäre Wärmespannungen. Springer, Wien
Shorr BF (1984) Mathematical modelling of wave processes in elastic-viscoplastic solids (in Russian). Izv. AN SSSR, MTT 4: 144–151 (trans. Allerton Press, 1984: 141)
Shorr BF (1995) Analysis of wave propagation in elastic-plastic rods of a variable cross section using direct mathematical modeling. J Arch Appl Mech 65:537–547
Shorr BF (1998) Mathematical modelling of wave propagation in a rod of time-dependent material. J Mech of Time-Dependent Mater 1(4):397
Shorr BF (1999) A wave approach to finite element analysis of solids. J Mech Res Commun 26(2):191–196
Shorr BF (2004) The wave finite element method. Spriger, Berlin
Shorr BF, Mel’nikova GV (1988) Calculation of mechanical systems using method of direct mathematical modelling (in Russian). Mashinostroenie, Moscow
Timoshenko SP (1955) Vibration problems in engineering, 3rd edn. In collaboration with D.H.Young DVan Nostrand Company, Toronto New York London
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2015 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Shorr, B.F. (2015). Special Problems of Thermal Integrity. In: Thermal Integrity in Mechanics and Engineering. Foundations of Engineering Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-46968-2_12
Download citation
DOI: https://doi.org/10.1007/978-3-662-46968-2_12
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-662-46967-5
Online ISBN: 978-3-662-46968-2
eBook Packages: EngineeringEngineering (R0)