A time-dependent nonlinear thermoelastic problem of a multilayered anisotropic medium with a certain specific form of temperature-dependent material properties in generalized plane deformation is analyzed by flexibility/stiffness matrix technique in the article. The closed-form general solutions of temperature, displacements, and stresses can then be obtained in the Fourier and the Laplace transform domains by using the technique of Kirchhoff transformation. The effects of temperature-dependent material properties on the distributions of temperature and thermal stresses are also calculated and discussed.
Issue Section:
Brief Notes
1.
Halle
, H.
, 1965
, “Exact Solution of Elementary Transient Heat Conduction Problem Involving Temperature-Dependent Material Properties
,” ASME J. Heat Transfer
, 87
, pp. 420
–421
.2.
Peletier
, L. A.
, 1970
, “Asymptotic Behavior of Temperature Profiles of a Class of Nonlinear Heat Conduction Problems
,” Q. J. Mech. Appl. Math.
, 23
, pp. 441
–447
.3.
Suzuki
, M.
, Matsumoto
, S.
, and Maeda
, S.
, 1977
, “New Analytical Method for Nonlinear Diffusion Problem
,” Int. J. Heat Mass Transf.
, 20
, pp. 883
–889
.4.
Ozisik, M. N., 1980, Heat Conduction, John Wiley and Sons, New York, Chapter 11.
5.
Tao
, L. N.
, 1989
, “The Heat Conduction Problem With Temperature-Dependent Material Properties
,” Int. J. Heat Mass Transf.
, 32
, pp. 487
–491
.6.
Chang
, K. C.
, and Payne
, U. J.
, 1991
, “Analytical Solution for Heat Conduction in a Two-Material-Layer Slab With Linearly Temperature Dependenct Conductivity
,” ASME J. Heat Transf.
, 113
, pp. 237
–239
.7.
Thangjitham
, S.
, and Choi
, H. J.
, 1991
, “Thermal Stresses in a Multilayered Anisotropic Medium
,” ASME J. Appl. Mech.
, 58
, pp. 1021
–1027
.8.
Chen
, T. C.
, and Jang
, H. I.
, 1995
, “Thermal Stresses in a Multilayered Anisotropic Medium With Interface Thermal Resistance
,” ASME J. Appl. Mech.
, 62
, pp. 610
–611
.9.
Chen
, T. C.
, Jang
, H. I.
, and Tseng
, A. A.
, 1995
, “Transient Thermal Stresses in a Multilayered Anisotropic Medium
,” ASME J. Appl. Mech.
, 62
, pp. 1065
–1067
.10.
Bahar
, L. Y.
, and Hetnarski
, R. B.
, 1980
, “Coupled Thermoelasticity of a Layered Medium
,” J. Therm. Stresses
, 3
, pp. 141
–152
.11.
Noor
, A. K.
, and Tenek
, L. H.
, 1992
, “Steady-State Nonlinear Heat Transfer in Multilayered Composite Panels
,” J. Eng. Mech.
, 118
, No. 8
, pp. 1661
–1678
.12.
Boley and Weiner, 1985, Theory of Thermal Stresses, Krieger, Melbourne, FL.
13.
Dubin
, F.
, 1974
, “Numerical Inversion of Laplace Transform: An Efficient Improvement to Dubner and Abates’s Method
,” Comput. J.
, 17
, pp. 371
–376
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by ASME
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