The Expression of Free Energy for Thermoelastic Material and Its Relation to the Variable Material Coefficients

Wang Hong-gang

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Wang Hong-gang. The Expression of Free Energy for Thermoelastic Material and Its Relation to the Variable Material Coefficients[J]. Applied Mathematics and Mechanics, 1988, 9(12): 1073-1078.

Citation:

Wang Hong-gang. The Expression of Free Energy for Thermoelastic Material and Its Relation to the Variable Material Coefficients[J]. Applied Mathematics and Mechanics, 1988, 9(12): 1073-1078.

Citation:

Wang Hong-gang. The Expression of Free Energy for Thermoelastic Material and Its Relation to the Variable Material Coefficients[J]. Applied Mathematics and Mechanics, 1988, 9(12): 1073-1078.

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The Expression of Free Energy for Thermoelastic Material and Its Relation to the Variable Material Coefficients

Wang Hong-gang

Kunming Institute of Technology, Kunming

Received Date: 1987-08-25
Publish Date: 1988-12-15

Abstract

Abstract

The expression of free energy is expanded in a power series, in which there aren't any terms of order higher than third in the temperature increments θ^* and second in the strains γ_ij in this paper. The regular patterns of the material coefficients changing with temperature increments can be derived from this expression. These regulations accord with the experimental graph in references but the constants in the expression of free energy must be determined by experimental data.It is pointed out that the variable modulus of elasticity E and shearing modulus of elasticity G are independent of each other, but the rest of the coefficients are related to them.

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References(6)

References

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[3]	Goldsmith, A..T.E. Watermanand H.J. Hirschhorn, Handbook of Thermophysical Properties of Solid Materials. 2, Pergamon Press (1962).
[4]	Dillon, O.W., A nonlinear thermoelasticity theory, J. Mech. Phys. Solids, 10 (1962).
[5]	Parkus, H., Thermoelasticity. Springer-Verlag (1976).
[6]	Oden. J.T., Finite Elements of Nonlinear Continua, McGraw-Hill, Inc. (1972).