On the Temperature Rate Dependent Transformation Processes

2007 ◽  
pp. 571-578
Author(s):  
Tamás Reti ◽  
Imre Czinege ◽  
Imre Felde ◽  
Lino Costa ◽  
Rafael Colás
Keyword(s):  
Rate Dependent ◽  
Temperature Rate ◽  
Transformation Processes

On the Temperature Rate Dependent Transformation Processes

2007 ◽  
Vol 537-538 ◽  
pp. 571-578
Author(s):  
Tamás Réti ◽  
Imre Czinege ◽  
Imre Felde ◽  
Lino Costa ◽  
Rafael Colás
Keyword(s):  
Kinetic Parameters ◽  
Kinetic Models ◽  
Rapid Heating ◽  
Rate Equations ◽  
Transformation Rate ◽  
Isothermal Reaction ◽  
Heating And Cooling ◽  
Rate Dependent ◽  
Temperature Rate ◽  
Transformation Processes

Kinetic models of new types are suggested which are designated primarily to predict the progress of non-isothermal transformations occurring during rapid heating and cooling in alloys. A common feature of each model outlined is that it takes into account not only the varying temperature but also the rate of temperature change on the transformation rate of the process. The two models represented by differential equations are generated by using the concept of virtual kinetic parameters, which can be determined from non-isothermal experiments only. A key property of the virtual parameter "p" involved in the transformation rate equations is that it quantitatively characterizes the temperature rate dependence of the non-isothermal reaction.

Three-dimensional constitutive model for shape-memory polymers considering temperature-rate dependent behavior

2021 ◽  
Vol 30 (3) ◽  
pp. 035030
Author(s):  
Jinsu Kim ◽  
Seung-Yeol Jeon ◽  
Seokbin Hong ◽  
Yongsan An ◽  
Haedong Park ◽  
...  
Keyword(s):  
Constitutive Model ◽  
Shape Memory ◽  
Three Dimensional ◽  
Shape Memory Polymers ◽  
Rate Dependent ◽  
Dependent Behavior ◽  
Temperature Rate

scholarly journals Stability in constrained temperature-rate-dependent thermoelasticity

2017 ◽  
Vol 22 (8) ◽  
pp. 1738-1763
Author(s):  
Amnah M Alharbi ◽  
Nigel H Scott
Keyword(s):  
Heat Conduction Equation ◽  
Deformation Gradient ◽  
Generalized Thermoelasticity ◽  
Rate Of Change ◽  
Harmonic Waves ◽  
Rate Dependent ◽  
Thermoelastic Material ◽  
Anisotropic Temperature ◽  
Temperature Rate ◽  
Anisotropic And Isotropic Materials

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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