Plane Thermal Stress at an Insulated Hole Under Uniform Heat Flow in an Orthotropic Medium

1967 ◽  
Vol 34 (1) ◽  
pp. 133-136 ◽  
Author(s):  
W. T. Chen
Keyword(s):  
Thermal Stress ◽  
Steady State ◽  
Temperature Distribution ◽  
Heat Flow ◽  
Temperature Gradient ◽  
Stress Field ◽  
Plane Stress ◽  
Orthotropic Medium ◽  
Variable Technique ◽  
Uniform Heat

When a uniform heat flow in an infinite orthotropic solid is disturbed by the presence of a long circular insulated cavity, local intensification of the temperature gradient occurs in the neighborhood of the cavity. This report describes a study of the stress field induced by the temperature distribution. The linear plane (plane stress or plane strain) thermoelastic problem is solved by using the complex variable technique. The analysis may also be used for other steady-state thermal stress problems in an orthotropic medium.

Interface Crack Between Two Dissimilar Half Spaces Subjected to a Uniform Heat Flow at Infinity—Open Crack

1990 ◽  
Vol 57 (2) ◽  
pp. 359-364 ◽  
Author(s):  
An-Yu Kuo
Keyword(s):  
Thermal Stress ◽  
Stress Intensity ◽  
Temperature Distribution ◽  
Heat Flow ◽  
Interface Crack ◽  
Stress Intensity Factors ◽  
Crack Surface ◽  
Open Crack ◽  
Intensity Factors ◽  
Uniform Heat

The thermal stress problem of an “open” crack situated at the interface of two bonded, dissimilar, semi-infinite solids subjected to a uniform heat flow is studied. Heat transmission between adjacent crack surfaces is assumed to be proportional to the temperature difference between the crack surfaces with a proportional constant h, which is defined as the contact coefficient or interface conductance. Temperature distribution of the problem is obtained by superimposing the temperature field for a perfectly bonded composite solid and the temperature fields for a series of distributed thermal dipoles at the crack location. The distribution function of the dipoles is obtained by solving a singular Fredholm integral equation. Stresses are then expressed in terms of a thermoelastic potential, corresponding to the temperature distribution, and two Muskhelishvili stress functions. Stress intensity factors are calculated by solving a Hilbert arc problem, which results from the crack surface boundary conditions and the continuity conditions at the bonded interface. Thermal stress intensity factors are found to depend upon an additional independent parameter, the Biot number λ = (ah/k), on the crack surface, where a is half crack length and k is thermal conductivity. Dipole distribution and stress intensity factors for two example composite solids, Cu/Al and Ti/Al2O3, are calculated and plotted as functions of λ. Magnitude of the required mechanical loads to keep the interface crack open is also estimated.

scholarly journals Experimental study and numerical simulation of temperature gradient effect for steel-concrete composite bridge deck

2021 ◽  
pp. 002029402110071
Author(s):  
Da Wang ◽  
Benkun Tan ◽  
Xie Wang ◽  
Zhenhao Zhang
Keyword(s):  
Experimental Study ◽  
Thermal Stress ◽  
Temperature Distribution ◽  
Temperature Gradient ◽  
Bridge Deck ◽  
Vertical Temperature ◽  
Extreme Stress ◽  
Gradient Effect ◽  
Composite Bridge ◽  
Composite Bridge Deck

The temperature distribution of the bridge and its thermal effect has always been an important issue for researchers. To investigate the temperature distribution and thermal stress in the steel-concrete composite bridge deck, a 1:4 ratio temperature gradient effect experimental study was carried out in this paper. First, a set of experimental equipment for laboratory temperature gradient loading was designed based on the principle of temperature gradient caused by solar radiation, the temperature gradient obtained from the measurements were compared with the specifications and verified by the FE method. Next, the loading of the steel-concrete composite deck at different temperatures was performed. The thermal stress response and change trend of the simply supported and continuously constrained boundary conditions under different temperature loads were analyzed. The experimental results show that the vertical temperature of steel-concrete composite bridge deck is nonlinear, which is consistent with the temperature gradient trend of specifications. The vertical temperature gradient has a great influence on the steel-concrete composite bridge deck under different constraints, and the extreme stress of concrete slab and steel beam is almost linear with the temperature gradient. Finally, some suggestions for steel-concrete composite deck design were provided based on the research results.

Effect of Radiation in Solid during SiC Sublimation Growth

2006 ◽  
Vol 911 ◽  
Author(s):  
Shin-ichi Nishizawa ◽  
Shin-ichi Nakashima ◽  
Tomohisa Kato
Keyword(s):  
Thermal Stress ◽  
Temperature Distribution ◽  
Temperature Gradient ◽  
Absorption Coefficient ◽  
Doping Concentration ◽  
Grown Crystal ◽  
Growth Front ◽  
Growth Features ◽  
Sublimation Growth ◽  
Front Temperature

AbstractThe effect of infrared absorption on SiC sublimation growth was numerically investigated. At first, absorption coefficient was estimated as function of doping concentration. Then temperature distribution inside a crucible was numerically analyzed with taking account of absorption in growing crystal. It was pointed out that temperature distribution in a growing crystal strongly depends on absorption coefficient, i.e. doping concentration. As increasing the absorption coefficient, the growth front temperature and temperature gradient inside a growing crystal increase. It might cause large thermal stress and affect the grown crystal quality. This agrees well with growth features in experiment. The growth condition should be determined with taking account of absorption coefficient, i.e. doping concentration.

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