Numerical solution and development of a transient temperature rate dependent constitutive equation

In an anisotropic temperature-rate-dependent thermoelastic material four plane harmonic waves may propagate in any direction, all dispersive and attenuated, and all stable in the sense that their amplitudes remain bounded in the direction of travel. In this paper, the material is additionally assumed to suffer an internal constraint of the deformation-temperature type, i.e. the temperature is a prescribed function of the deformation gradient. In this constrained thermoelastic material four waves continue to propagate but instabilities are now found. Constrained temperature-rate-dependent thermoelasticity is then combined with generalized thermoelasticity in which the rate of change of heat flux also appears in the heat conduction equation. Four waves again propagate but instabilities are found as before. Anisotropic and isotropic materials are both considered.

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Numerical solution of transient temperature for pulsed heating in a single spherical particle model

International Journal of Numerical Methods for Heat &amp Fluid Flow ◽

10.1108/09615539810201848 ◽

1998 ◽

Vol 8 (2) ◽

pp. 217-223 ◽

Cited By ~ 2

Author(s):

I.V. Grozescu ◽

M.M. Moksin

Keyword(s):

Numerical Solution ◽

Spherical Particle ◽

Particle Model ◽

Transient Temperature ◽

Pulsed Heating

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Temperature-rate dependent kinetics of martensitic transformation in MnCu alloy

Solid State Communications ◽

10.1016/0038-1098(96)00046-4 ◽

1996 ◽

Vol 98 (6) ◽

pp. 539-542 ◽

Cited By ~ 13

Author(s):

Junmin Liu ◽

J.X. Zhang

Keyword(s):

Martensitic Transformation ◽

Rate Dependent ◽

Temperature Rate ◽

Kinetics Of

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A State Variable Interpretation of Some Rate-Dependent Inelastic Properties of Steel

Journal of Engineering Materials and Technology ◽

10.1115/1.3443510 ◽

1978 ◽

Vol 100 (4) ◽

pp. 395-401 ◽

Cited By ~ 8

Author(s):

B. Larsson ◽

B. Stora˚kers

Keyword(s):

Stainless Steel ◽

Elevated Temperature ◽

Constitutive Equation ◽

Physical Theory ◽

Creep Tests ◽

Variable Theory ◽

One Dimensional ◽

State Variable ◽

Rate Dependent ◽

Stress States

Based on a state variable theory proposed by Onat some discriminating creep tests of stainless steel have been designed and carried out at elevated temperature conditions. Quantitative correlations of the results are sought with predictions from a physical theory for recovery creep proposed by Lagneborg. The findings are utilized to interpret the behavior of creeping members when subjected to a rapid increase in the rate of straining. Different approaches toward generalization of physical one-dimensional creep laws to multiaxial stress states are discussed. A tentative constitutive equation applicable to the solution of general boundary value problems is proposed.

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