THERMAL STRESS PROBLEM FOR MIXED HEAT CONDUCTION BOUNDARY AROUND AN ARBITRARILY SHAPED HOLE WITH CRACK UNDER UNIFORM HEAT FLUX

2001 ◽  
Vol 24 (8) ◽  
pp. 725-735 ◽  
Author(s):  
Jianjun Han, Norio Hasebe
Keyword(s):  
Heat Flux ◽  
Heat Conduction ◽  
Thermal Stress ◽  
Uniform Heat Flux ◽  
Stress Problem ◽  
Uniform Heat ◽  
Shaped Hole

Time Estimate for the Incipient Surface Melting of Regular-Shaped Metals Receiving Uniform Heat Flux Inside a Metal Melting Furnace

2015 ◽  
Vol 8 (2) ◽  
Author(s):  
Marcelo D. Marucho ◽  
Antonio Campo ◽  
N. Ben Cheikh
Keyword(s):  
Heat Flux ◽  
Heat Conduction ◽  
Melting Furnace ◽  
Continuous Heating ◽  
Uniform Heat Flux ◽  
Large Plate ◽  
Time Solution ◽  
Uniform Heat ◽  
Metal Melting ◽  
Long Cylinder

This article addresses the continuous heating of regular-shaped metals (large plate, long cylinder, and sphere) at ambient temperature placed in a metal melting furnace. Under the assumption of temperature-independent thermophysical properties of the metal, the heat conduction problem entails to unsteady one-dimensional (1D) heat conduction with a boundary condition of uniform heat flux. Based on the exact, analytic spatiotemporal temperature distributions for the regular-shaped metals, the objective of this study is to construct simple predictive formulas so that engineers can estimate the incipient melting of these metals when heated continually. The time at which melting at the metal surface is initiated, tmelt, corresponds to setting the surface temperature, Tsur, equal to the melting temperature, Tmelt. The analysis will be done under the premises of two asymptotic solutions: one a “large-time” solution and the other a “short-time” solution. A collection of six formulas of simple form for predicting the melting time, tmelt, will be developed for those regular-shaped metals (large plate, long cylinder, and sphere).

Effect of hole geometry on the thermal stress analysis of perforated composite plate under uniform heat flux

2018 ◽  
Vol 53 (8) ◽  
pp. 1079-1095 ◽  
Author(s):  
Mohammad Jafari ◽  
Mohammad Jafari
Keyword(s):  
Heat Flux ◽  
Thermal Stress ◽  
Stress Distribution ◽  
Stress Analysis ◽  
Composite Plate ◽  
Composite Plates ◽  
Uniform Heat Flux ◽  
Thermal Stress Analysis ◽  
Uniform Heat ◽  
Hole Geometry

The presence of holes in composite plates subjected to a uniform heat flux induces thermal stresses. Hole geometry is one of the important parameters in the stress distribution in perforated composite plates. In this study, using the two-dimensional thermoelastic theory, and on the basis of the Lekhnitskii' complex variable technique in steady-state condition, stress distribution around holes with different shapes in an infinite composite plate under uniform heat flux is investigated. Using a conformal mapping function, the thermal stress analysis of an infinite plate with a circular hole under a uniform heat flux is developed to analyze the plate containing a noncircular hole. The perforated composite plate is under a uniform heat flux at infinity and Neumann boundary conditions and thermal-insulated condition at the edge of the hole are considered. The rotation angle of the hole, fiber angle, the flux angle, and bluntness are important parameters investigated in the present study. In addition, the optimal values of the effective parameters to achieve the lowest thermal stress around different holes have been reported for several different materials. The obtained results show that these parameters have a significant effect on the stress and displacement distributions around the rectangular hole.

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