ORIGINAL PAPER
The Influence of Thermomechanical Coupling on the Behaviour of Athick-Walled Metallic Tube Subjected to Internal Pressure
More details
Hide details
1
Opole University of Technology, Institute of the Innovation of Processes and Products, Faculty of Managing the Power Industry, 45-370, Opole, ul. Ozimska 75, Poland
Online publication date: 2018-08-20
Publication date: 2018-08-01
International Journal of Applied Mechanics and Engineering 2018;23(3):751-766
KEYWORDS
ABSTRACT
In this study, the influence of thermomechanical coupling effect - the effect of thermal expansion due to dissipation of the energy of plastic deformation, with and without taking into account the stored energy of plastic deformation (SEPD) for the distribution of stresses, strains, temperature, the applied pressure and the residual stresses is examined. The residual stresses remain in a thick-walled tube (a cylindrical thick-walled tank) after removing the internal pressure in the process of purely elastic unloading. The analysis is made on the example of an analitycal solution for a thick-walled tube subjected to a quasistatically increasing internal pressure for the case of adiabatic processes (without heat flow). Since the loading with internal pressure is quasi-static (monotonic), then neglecting the process of heat flow can lead to some different results in calculated stresses, deformations, temperature, internal pressure and residual stresses. The calculations for isothermal type of processes of deformations (without heat or ideal cooling) are also performed for the estimation of these differences. The results calculated for the process with heat flow should be intermediate between the values obtained for isothermal and adiabatic processes.
REFERENCES (30)
1.
Bland D.R. (1956): Elastoplastic thick-walled tubes of work-hardening material subject to internal and external pressures and to temperature gradient. – Journal of Mechanics and Physics of Solids, vol.4, pp.2009-229.
2.
Koiter W.T. (1953): On partially plastic thick-walled metal tubes. – Biezono Anniversary Volume in Applied Mechanics, N.V. De Technische Uitgeverij, H. Stam, Haarlem, pp.333-341.
3.
Mendelson A. (1968): Plasticity: Theory and Application. – New York: The Mc Millan Book Company,.
4.
Nied H.A. and Batterman S.C. (1971): On coupled thermoplasticity: an exact solution for a spherical domain. – Israel Journal of Technology, vol.9, No.1-2, pp.37-46.
5.
Sokołowski M. (1960): Thermal stresses in spherical and cylindrical shells in the case when the material parametrs depend on temperature. – Engineerig Transactions, Warsaw, vol.8, No.4, pp.641-669.
6.
Śloderbach Z. and Pająk J. (2013): Analysis of thick-walled elastic-plastic sphere subjected to temperature gradient. – Journal of Thermal Stresses, vol.36, pp.1077-1095.
7.
Śloderbach Z. and Pająk J. (2010): Analysis of thick-walled elastic-plastic sphere subjected to internal pressure, part I. derivation of basic equations and expressions. – Optimization of the Structures of Manufacturing Processes, Opole University of Technology, No.276, pp.85-96.
8.
Życzkowski M. and Kordas Z. (1970): Fully plastically forming of the non-circular thick-walled cylinders in the failure state [in Polish]. – Engineering Transactions, IFTR-Reports, Warsaw, vol.21, No.4.
9.
Bever M.B., Holt D.L. and Titchener A.L. (1973): The stored energy of cold work. – Progress in Materials Science, London-Oxford, Pergamon Press, vol.17.
10.
Śloderbach Z., Pająk J. and Marciniak Z. (2008): Aproximate calculations of the stored energy of plastic deformation in tube bending processes. – Optimization of Production Processes, Opole University of Technology, No.238, pp.169-186.
11.
Śloderbach Z. and Pająk J. (2013): Stored energy of plastic deformations in tube bending processes. – International Journal of Applied Mechanics and Engineering, vol.18, No.1, pp.235-248.
12.
Sawczuk A., Janas M. and König J. (1972): Plactic Analysis of Constructions. – Wrocław: Ossolineum.
13.
Hill R. (1985): The Mathematical Theory of Plasticity. – London: Clarendon Press.
14.
Raniecki B. (1977): Problems of Applied Thermoplasticity [In Polish]. – DSc Thesis, IFTR-Reports, Warsaw, No.29/1977.
15.
Śloderbach Z. (1980): Bifurcations Criteria for Equilibrium States in Generalized Thermoplasticity [In Polish]. – Doctor’s thesis, IFTR-Reports, No 37/1980, Warsaw.
16.
Śloderbach Z. (2016): Closed system of coupling effects in generalized thermo-elastoplasticity. – International Journal of Applied Mechanics and Engineering, vol.1, No.2, pp.461-48.
17.
Boley B.A. and Weiner J.H. (1960): Theory of Thermal Stress. – New York: Wiley.
18.
Nowacki W. (1962): Thermoelasticity. – Oxford: Pergamon Press.
19.
Dillon O.W. (1965): Coupled thermoplasticity when the material coupling parametr equals unity. – ASME Transactions, Series E87, pp.378-382.
20.
Kocańda S. (1985): Fatique Crack of Metals [in Polish]. – Warsaw: WNT.
21.
Kocańda S. and Kocańda A. (1998): Low Cycle Fatique Strength of Metals [in Polish]. – Warsaw: PWN.
22.
Macha E. (2001): A review of energy-based multiaxial fatigue failure criteria. – The Archive of Mechanical Engineering, vol. XLVIII, No.1, pp.71-101.
23.
Neimitz A., Dzioba I., Graba M. and Okrajni J. (2008): Assessment of strenght, durability and safety of work of the elements of constructions with deffects [in Polish]. – Kielce University of Technology.
24.
Łagoda T. (2007): Possibilities of application of the deformations energy density parameter in thermal stresses fatique [in Polish]. – Energetyka, Thematic Notebook XIV, ISSN 0013-7294, Katowice, pp.62-64.
25.
Okrajni J., Marek A., Plaza J. and Essler W. (2007): Thermomechanical fatique of the elements of installations of power plant [in Polish]. – Energetyka, Thematic Notebook XIV, ISSN 0013-7294, Katowice, pp.81-85.
26.
Okrajni J. (2008): Durability of the pressure elements of boilers according to standards [in Polish]. – Energetyka, Thematic Notebook XVIII, ISSN 0013-7294, Katowice, pp.93-100.
27.
Okrajni J., Junak G. and Marek A. (2008): Modelling of deformation process under thermo-mechanical fatique conditions. – International Journal of Fatique, vol.30, No.2, pp.324-329.
28.
Ziaja J. (1994): Heat low-temperature fatique of metals with hexagonal net of structure – failure criterion [in Polish]. – Scientific Works, Technical University of Wrocław, No.54, Series: Monograpfs, Wroclaw.
29.
Śloderbach Z. and Pająk J. (2017): Determination of the critical state during adiabatic process of thermoplastic deformation of metallic materials. – Journal of Thermal Stresses, vol.40, No.2, pp.255-265.
30.
Śloderbach Z. and Rechul Z. (2006): A thermodynamic approach to the stored energy concept. – Journal of Technical Physics, Warsaw, vol.XLVII, No.2, pp.83-102.