Extended bisection method for parameter identification of the transient heat conduction equation for thermo-elastic deformations during drilling

2016 ◽  
Vol 88 (5-8) ◽  
pp. 1279-1288 ◽  
Author(s):  
Janine Glänzel ◽  
Arnd Meyer ◽  
Roman Unger ◽  
Michael Bräunig ◽  
Volker Wittstock ◽  
...  
Keyword(s):  
Heat Conduction ◽  
Parameter Identification ◽  
Heat Conduction Equation ◽  
Transient Heat Conduction ◽  
Conduction Equation ◽  
Bisection Method ◽  
Elastic Deformations

Transient Thermoelastic Fields in a Transversely Isotropic Infinite Solid With a Penny-Shaped Crack

1987 ◽  
Vol 54 (4) ◽  
pp. 854-860 ◽  
Author(s):  
N. Noda ◽  
F. Ashida
Keyword(s):  
Heat Conduction ◽  
Heat Conduction Equation ◽  
Three Dimensional ◽  
Transversely Isotropic ◽  
Transient Heat Conduction ◽  
Thermoelastic Problem ◽  
Conduction Equation ◽  
Thermal Stress Field ◽  
Penny Shaped Crack ◽  
Shaped Crack

The present paper deals with a transient thermoelastic problem for an axisymmetric transversely isotropic infinite solid with a penny-shaped crack. A finite difference formulation based on the time variable alone is proposed to solve a three-dimensional transient heat conduction equation in an orthotropic medium. Using this formulation, the heat conduction equation reduces to a differential equation with respect to the spatial variables. This formulation is applied to attack the transient thermoelastic problem for an axisymmetric transversely isotropic infinite solid containing a penny-shaped crack subjected to heat absorption and heat exchange through the crack surface. Thus, the thermal stress field is analyzed by means of the transversely isotropic potential function method.

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