THERMAL STRESSES IN AN INFINITE PLATE WITH A PAIR OF CIRCULAR INCLUSIONS UNDER STEADY-STATE TEMPERATURE (CASE OF INFINITE PLATE HAVING A PAIR OF HEAT SOURCES)

1986 ◽  
Vol 9 (1) ◽  
pp. 1-18
Author(s):  
Shunsuke Shioya ◽  
Syozo Tsuruno
Keyword(s):  
Steady State ◽  
Thermal Stresses ◽  
Infinite Plate ◽  
Heat Sources ◽  
Steady State Temperature

Elastic, Plastic Stresses in Free Plate With Periodically Varying Surface Temperature

1958 ◽  
Vol 25 (4) ◽  
pp. 603-606
Author(s):  
Halil Yüksel
Keyword(s):  
Steady State ◽  
Surface Temperature ◽  
Constant Temperature ◽  
Thermal Stresses ◽  
Plastic Material ◽  
The Other ◽  
Perfectly Plastic ◽  
Temperature Oscillations ◽  
Steady State Temperature ◽  
Elastic Perfectly Plastic

Abstract The paper is concerned with a free plate that consists of an elastic, perfectly plastic material and is subjected to a harmonically varying temperature at one face, while the other face is kept at a constant temperature and the edge is perfectly insulated. The thermal stresses associated with the steady-state temperature oscillations are analyzed, and the development of plastic regions is discussed.

Transient Damped Wave Conduction and Relaxation in Human Skin and Thermal Wear During Winter

2008 ◽  
Author(s):  
Kal Renganathan Sharma
Keyword(s):  
Steady State ◽  
Human Skin ◽  
Separation Of Variables ◽  
Relaxation Times ◽  
Thermal Relaxation ◽  
Transient Temperature ◽  
Heat Sources ◽  
Maximum Heat ◽  
Steady State Temperature ◽  
Fabric Layer

Damped wave conduction and relaxation in the human skin layer and thermal fabric layer are modeled with a temperature dependent heat source in the human tissue layer. Steady state temperature profiles are derived from the Fourier heat conduction equation. The general solution for the temperature is assumed to be a sum of the transient temperature and steady state temperature. This makes the boundary conditions in space for the skin and fabric layers homogeneous for the transient temperarature. The hyperbolic PDE is solved for by the method of separation of variables. The use of final condition in time in addition to the initial temperature condition leads to bounded infinite Fourier series solutions. These solutions are bounded and does not violate second law of thermodynamics. The model can be used to interpret experimental observations of maximum heat flux that is a parameter of the warm/cool feeling of human skin in winter. For large relaxation times of human skin tissue, τrs>(1+U*)2(b−a)216π2αs, the transient temperature can be expected to undergo oscillations. These oscillations will be supercritical and grow with time for strong heat sources, U* > 1 and may be subcritical damped oscillatory for weak heat sources, U* < 1. For large thermal relaxation times of thermal fabric material, τrf>a24π2αs, the transient temperature in the thermal fabric layer may be expected to be subcritical damped oscillatory.

Finite Elements Prediction of Temperature Field and Thermal Stresses in Thermal Roll of Calendering Process

2013 ◽  
Vol 706-708 ◽  
pp. 1368-1372
Author(s):  
Xiao Tian Ding ◽  
Shu Lei Zhao ◽  
Zheng Yuan Wei ◽  
Gui Fang Liu ◽  
Qiang Lin ◽  
...  
Keyword(s):  
Fluid Dynamics ◽  
Finite Element Method ◽  
Temperature Field ◽  
Steady State ◽  
Thermal Stresses ◽  
Numerical Approach ◽  
The Finite Element Method ◽  
Temperature Distributions ◽  
Steady State Temperature ◽  
Thermal Oil

A simplified numerical approach based on the Finite Element Method (FEM) to compute the steady state temperature field and thermal stresses in a thermal roll of a calender machine is proposed. The temperature distributions of the working roll and thermal oil were investigated by fluid dynamics theory. With the acquired roll body temperature, the deformation and stress were calculated. This approach is suitable for fluid-structural and thermal stress problems and hence helpful for the design and improvement of such equipment.

Thermal Stresses in Steel–Concrete Composite Bridges

1975 ◽  
Vol 2 (1) ◽  
pp. 66-84 ◽  
Author(s):  
Carl Berwanger ◽  
Yaroslav Symko
Keyword(s):  
Finite Element ◽  
Steady State ◽  
Conventional Method ◽  
Negative Curvature ◽  
Thermal Stresses ◽  
Positive Curvature ◽  
Bottom Flange ◽  
Tensile Stresses ◽  
Temperature Distributions ◽  
Steady State Temperature

The objective was to determine experimentally and analytically two-dimensional steady-state temperature distributions produced in the cross-sectional planes of steel–concrete composite simple span bridges. The upper and lower surfaces were exposed to different temperatures.The research included the development of finite element solutions for steady-state temperature distributions from known boundary conditions and the calculation of strains and stresses. Temperature and stress distributions were generally nonlinear with linear strains through the finite elements. Temperatures were predicted to ±1 °F (±5/9 °C). The experimental strains are linear through the composite section, with the computed finite element strains giving generally slightly higher stresses. The conventional and finite element method computed stresses were compared.For positive curvature, the conventional method underestimated the compressive stress in the top flange by about 20% while the bottom flange tensile stresses were identical. For negative curvature, the conventional method overestimated the bottom flange compressive stresses between 15 to 27% and the top flange tensile stresses from 10 to 61%. The concrete slab stresses were overestimated for positive curvature and slightly underestimated for negative curvature. Slab stresses were relatively small when compared with the permissible concrete stress. Temperature stresses in the steel beam were shown to be significantly large, about 30% of the permissible steel stress, to warrant consideration in the design of these bridges. The stresses were calculated for short term steady-state temperatures. Transient conditions existing in the field produce greater thermal stresses.

On the Stress State of a Heterogeneous Plate Made of a Material with a Step Change in Elastic Characteristics in the Presence of an Inclusion System and Temperature Influence

2019 ◽  
Vol 828 ◽  
pp. 106-114
Author(s):  
Eghine Kanetsyan ◽  
Musheg Mkrtchyan ◽  
Suren Mkhitaryan
Keyword(s):  
Exact Solution ◽  
Steady State ◽  
Stress State ◽  
Thermal Stresses ◽  
Infinite Plate ◽  
Dissimilar Materials ◽  
Temperature Influence ◽  
Uniform Steady State ◽  
Homogeneous Plane ◽  
Steady State Heat

In the formulation of thermoelasticity and in the framework of the conventional theory of thermal stresses, the problem on the stress state of an elastic piecewise-homogeneous plane or an infinite plate at non-uniform steady-state heating is considered. On the interface of dissimilar materials, the compound plane is reinforced by a collinear system of absolutely rigid thin inclusions and is subjected to mechanical and thermal influences. First, to determine the temperature distribution in a piecewise-homogeneous plane the corresponding boundary value problem of the theory of steady-state heat conduction is solved using the integral Fourier transform. Solving this problem is reduced to solving a singular integral equation (SIE) that allows an exact solution. Further, the elastic displacements of points of the compound plane, caused by mechanical and temperature influence, are determined by the known methods of thermoselasticity. Based on these results, solving the problem of the contact interaction between the system of inclusions and a compound plane is again reduced to solving SIE, which also allows an exact solution. A special case is considered.

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