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2020 | OriginalPaper | Chapter

Analytical Solution for Two-Dimensional Axisymmetric Thermoelastic Behavior in the Multilayer Composite Hollow Sphere

Authors : N. J. Wange, S. P. Pawar, M. N. Gaikwad

Published in: Advances in Fluid Mechanics and Solid Mechanics

Publisher: Springer Singapore

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Abstract

This article deals with an analytic solution of temperature distribution, displacement and stress distribution function for two-dimensional multilayered hollow spheres. The solution is obtained by using the separation of the variable method. Homogenous boundary conditions of the first or second kind can be applied on surfaces of θ = constant. However, homogeneous boundary conditions of the third kind (convection) are used in the r-direction. Under prescribed conditions, the temperature distribution, displacement and thermal stresses in the sphere are to be analyzed under the steady-state temperature field. The layers of the multilayer sphere are homogeneous and isotropic.

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Literature
1.
go back to reference Carslaw HS, Jaeger JC (1959) Conduction of heat conduction in solids, 2nd edn. Oxford University Press, LondonMATH Carslaw HS, Jaeger JC (1959) Conduction of heat conduction in solids, 2nd edn. Oxford University Press, LondonMATH
2.
go back to reference Goodman TR (1961) The adjoin heat conduction problems for solids, ASTIA-AD, pp 254–769 (AFOSR-520) Goodman TR (1961) The adjoin heat conduction problems for solids, ASTIA-AD, pp 254–769 (AFOSR-520)
3.
go back to reference Tittle CW (1965) Boundary value problems in composite medium: quasi orthogonal functions. J Appl Phys 36(4), 1486–1488CrossRef Tittle CW (1965) Boundary value problems in composite medium: quasi orthogonal functions. J Appl Phys 36(4), 1486–1488CrossRef
4.
go back to reference Bulavin PE, Kashcheev VM (1965) Solution of nonhomogeneous heat conduction equation for multilayer bodies. Int Chem Eng 5(1):112–115 Bulavin PE, Kashcheev VM (1965) Solution of nonhomogeneous heat conduction equation for multilayer bodies. Int Chem Eng 5(1):112–115
5.
go back to reference Volbrecht H (1974) Stress in cylindrical and spherical walls subjected to internal pressure and stationary heat flow. Verfahrenstechnik 8:109–112 Volbrecht H (1974) Stress in cylindrical and spherical walls subjected to internal pressure and stationary heat flow. Verfahrenstechnik 8:109–112
6.
go back to reference Kandil A (1975) Investigation of stress analysis under high pressure and temperature. M.S. Thesis, C.I.T. Helwan University, Egypt Kandil A (1975) Investigation of stress analysis under high pressure and temperature. M.S. Thesis, C.I.T. Helwan University, Egypt
7.
go back to reference Ghosn AH, Sabbaghian M (1982) Quasi-static coupled problem of thermoelasticity for cylindrical region. Therm Stress 5:299–313CrossRef Ghosn AH, Sabbaghian M (1982) Quasi-static coupled problem of thermoelasticity for cylindrical region. Therm Stress 5:299–313CrossRef
8.
go back to reference Sherief HH, Anwar MN (1988) A problem in generalized thermoelasticity for an infinitely many annular cylinders. Int J Eng Sci 26:301–306CrossRef Sherief HH, Anwar MN (1988) A problem in generalized thermoelasticity for an infinitely many annular cylinders. Int J Eng Sci 26:301–306CrossRef
9.
go back to reference Chen CK, Yang YC (1986) Thermoelastic transient response of an infinitely long annular cylinder composed of two different materials. J Eng Sci 24:569–581CrossRef Chen CK, Yang YC (1986) Thermoelastic transient response of an infinitely long annular cylinder composed of two different materials. J Eng Sci 24:569–581CrossRef
10.
go back to reference Jane KC, Lee ZY (1999) Thermoelastic transient response of an infinitely long multilayered cylinder. Mech Res Comm 26(6):709–718CrossRef Jane KC, Lee ZY (1999) Thermoelastic transient response of an infinitely long multilayered cylinder. Mech Res Comm 26(6):709–718CrossRef
11.
go back to reference Lee ZY (2004) Coupled problem of thermoelasticity for multilayered spheres with time dependent boundary conditions. J Mar Sci Technol 12(2):93–101 Lee ZY (2004) Coupled problem of thermoelasticity for multilayered spheres with time dependent boundary conditions. J Mar Sci Technol 12(2):93–101
12.
go back to reference Pawar SP, Kedar GD, Deshmukh KC (2013) Effect of internal heat generation and temperature asymmetry in a hollow sphere and its thermal stresses. Int J Thermoelast 1(3), 1–5 Pawar SP, Kedar GD, Deshmukh KC (2013) Effect of internal heat generation and temperature asymmetry in a hollow sphere and its thermal stresses. Int J Thermoelast 1(3), 1–5
13.
go back to reference Pawar SP, Wange N, Gaikwad MN (2018) Thermoelastic response to surface temperature asymmetry and internal heat generation parameters in a composite spherical body. Int J Math Arch 9(3), 1–10 (2018) Pawar SP, Wange N, Gaikwad MN (2018) Thermoelastic response to surface temperature asymmetry and internal heat generation parameters in a composite spherical body. Int J Math Arch 9(3), 1–10 (2018)
14.
go back to reference Ozisik MN (1968) Boundary value problems of heat conduction. International Textbook Co., Scranton, PA Ozisik MN (1968) Boundary value problems of heat conduction. International Textbook Co., Scranton, PA
15.
go back to reference Noda N, Hetnarski RB, Tanigawa Y (2003) Thermal stresses, 2nd edn. Taylor and Francis, New York Noda N, Hetnarski RB, Tanigawa Y (2003) Thermal stresses, 2nd edn. Taylor and Francis, New York
16.
go back to reference Noda N, Hetnarski RB, Tanigawa Y (2003) Thermal stresses, vol 2. Taylor and Francis, New York Noda N, Hetnarski RB, Tanigawa Y (2003) Thermal stresses, vol 2. Taylor and Francis, New York
17.
go back to reference Gaikwad MN, Wange NJ (2017) Analytical solution for three dimensional transient heat conduction in a multilayer sphere. Int J Math App (IJMAA) 5(2B):301–313 Gaikwad MN, Wange NJ (2017) Analytical solution for three dimensional transient heat conduction in a multilayer sphere. Int J Math App (IJMAA) 5(2B):301–313
Metadata
Title
Analytical Solution for Two-Dimensional Axisymmetric Thermoelastic Behavior in the Multilayer Composite Hollow Sphere
Authors
N. J. Wange
S. P. Pawar
M. N. Gaikwad
Copyright Year
2020
Publisher
Springer Singapore
DOI
https://doi.org/10.1007/978-981-15-0772-4_23

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