Transient Thermal Stresses in a Semi-Infinite Slab

1960 ◽  
Vol 27 (1) ◽  
pp. 93-103 ◽  
Author(s):  
W. Jaunzemis ◽  
E. Sternberg
Keyword(s):  
Thermal Stresses ◽  
Heat Conduction Problem ◽  
Theory Of Elasticity ◽  
Transient Temperature ◽  
Finite Segment ◽  
Infinite Slab ◽  
In Series ◽  
Transient Thermal ◽  
External Loads ◽  
Uniform Change

This investigation is concerned with the transient temperature and thermal-stress distribution generated in a semi-infinite slab if a finite segment of its edge is subjected to a sudden uniform change in temperature. The slab is supposed to be free from external loads and its faces are assumed to be insulated. Exact solutions in series form are obtained both for the heat-conduction problem and for the associated thermoelastic problem. The latter is treated quasi-statically within the classical two-dimensional theory of elasticity. The thermal stresses appropriate to the generalized plane-stress solution vanish identically in the limit as time tends to infinity. The space and time dependence of these stresses is examined in some detail with a view toward tracing the evolution of this well-known, steady-state degeneracy. Finally, the results corresponding to an instantaneous heating or cooling of a portion of the boundary are used to study the effect upon the stresses of gradual changes in the surface temperature.

Transient Thermal Stresses in a Circular Cylinder

1961 ◽  
Vol 28 (1) ◽  
pp. 25-34 ◽  
Author(s):  
C. K. Youngdahl ◽  
Eli Sternberg
Keyword(s):  
Exact Solution ◽  
Temperature Distribution ◽  
Cross Sections ◽  
Thermal Stresses ◽  
Transient Temperature ◽  
Definite Integrals ◽  
Transient Temperature Distribution ◽  
Transient Thermal ◽  
Finite Band ◽  
Uniform Change

This paper contains an exact solution for the transient temperature distribution, as well as for the accompanying quasi-static thermal stresses and deformations, which arise in an infinitely long elastic circular shaft if its surface temperature undergoes a sudden uniform change over a finite band between two cross sections and is steadily maintained thereafter. The solution given is in the form of definite integrals and infinite series, whose convergence is discussed. Extensive illustrative numerical results are included.

Transient Thermal Stresses on a Finite Disk Due to a Continuous Point Heat Source

1970 ◽  
Vol 92 (2) ◽  
pp. 357-365 ◽  
Author(s):  
T. R. Hsu
Keyword(s):  
Heat Source ◽  
Thermal Stresses ◽  
Circular Disk ◽  
Transient Temperature ◽  
Point Heat Source ◽  
Finite Radius ◽  
Transient Temperature Distribution ◽  
Instantaneous Point ◽  
Continuous Point ◽  
Transient Thermal

This paper contains exact solutions for the transient temperature distribution and the associated quasi-static thermal stresses and deformations which arise in a thin circular disk of finite radius subjected to a continuous point heat source acting on its periphery. It has been proven in this paper that the solutions of this type of problem may be obtained by integrating the time variable of the corresponding solutions in the case of an instantaneous point heat source. The solutions are given in the form of double infinite series and graphical representations of the solutions in dimensionless terms are included. Reference is made to methods of applying the solutions to shapes other than disks. The solutions are pertinent to problems which occur in welding engineering and modern nuclear technology.

Analysis of Thermal Stresses in a Boiler Drum During Start-Up

1999 ◽  
Vol 121 (1) ◽  
pp. 84-93 ◽  
Author(s):  
J. Taler ◽  
B. We˛glowski ◽  
W. Zima ◽  
S. Gra˛dziel ◽  
M. Zborowski
Keyword(s):  
Heat Conduction ◽  
Temperature Distribution ◽  
Thermal Stresses ◽  
Heat Conduction Problem ◽  
Inverse Heat Conduction Problem ◽  
New Method ◽  
Transient Temperature ◽  
Fluid Temperature ◽  
Inverse Heat Conduction ◽  
Vessel Elements

The paper presents an analytical way of calculating thermal stress distributions in cylindrical vessels, nonuniformly heated on their circumference. In thick-walled vessel elements, simplified analytical formulas do not give satisfactory results. A new method for determining thermal stresses has been developed. On the basis of temperature history measurements at several points on the drum outer surface, a time-space temperature distribution in the component cross section is determined, and next, thermal stresses are calculated using the finite element method (FEM). The new method, proposed for the solution of the inverse heat conduction problem, is sufficiently accurate. Knowledge of the boundary conditions on the inner surface of the drum, i.e., fluid temperature and heat transfer coefficient, is not necessary because the transient temperature distribution in the component is obtained from the solution of the inverse heat conduction problem. Comparison of the thermal distributions from FEM versus the new method demonstrate the accuracy of the new method. An example application of the new method demonstrates its benefits over the solution of the boundary-initial problem obtained by FEM.

Transient Thermal Stresses in Slabs and Circular Pressure Vessels

1953 ◽  
Vol 20 (2) ◽  
pp. 261-269
Author(s):  
M. P. Heisler
Keyword(s):  
Thermal Shock ◽  
Thermal Stresses ◽  
Pressure Vessels ◽  
Transient Temperature ◽  
Thermal Processes ◽  
Integral Theorem ◽  
Dimensionless Stress ◽  
Optimum Heating ◽  
Transient Thermal

Abstract This paper presents the results of computations for determining transient thermal stresses in slabs and circular pressure vessels. The process of solution adopted is to substitute transient-temperature formulas into the already available stress expressions. The expressions for thermal shock are transformed by means of a simple integral theorem into a form appropriate for analyzing the thermal processes commonly used to relieve thermal shock. A new dimensionless stress parameter is defined and applied to the determination of optimum heating or cooling times of massive pressure vessels.

A Method of Analysis of Transient Thermal Stresses in Thermorheologically Simple Viscoelastic Solids

1964 ◽  
Vol 31 (1) ◽  
pp. 47-53 ◽  
Author(s):  
K. C. Valanis ◽  
George Lianis
Keyword(s):  
Thermal Stresses ◽  
Perturbation Technique ◽  
Sufficient Conditions ◽  
Solid Sphere ◽  
Temperature Fields ◽  
Transient Temperature ◽  
Temperature Dependent ◽  
Viscoelastic Solids ◽  
Temperature Dependent Properties ◽  
Transient Thermal

This paper is concerned with a perturbation technique suitable for the stress analysis of viscoelastic solids with temperature-dependent properties in the presence of nonuniform transient temperature fields. The problems of the infinite slab, solid sphere, and infinitely long viscoelastic cylinder are given solutions in the form of infinite series. Sufficient conditions for the convergence of the series are established.

scholarly journals Transient Thermal Stresses in a Reinforced Hollow Disk or Cylinder Containing a Radial Crack

1985 ◽  
Vol 107 (1) ◽  
pp. 212-219 ◽  
Author(s):  
Renji Tang ◽  
F. Erdogan
Keyword(s):  
Thermal Stress ◽  
Thermal Stresses ◽  
Radial Crack ◽  
Sudden Change ◽  
Base Material ◽  
Transient Temperature ◽  
Membrane Interface ◽  
Intensity Factors ◽  
Special Cases ◽  
Transient Thermal

In this paper, the transient thermal stress problem in a hollow cylinder or a disk containing a radial crack is considered. It is assumed that the cylinder is reinforced on its inner boundary by a membrane which has thermoelastic constants different than those of the base material. The transient temperature, thermal stresses, and the crack tip stress intensity factors are calculated in a cylinder which is subjected to a sudden change of temperature on the inside surface. The results are obtained for various dimensionless parameters and material constants. The special cases of the crack terminating at the cylinder-membrane interface and of the broken membrane are separately considered and some examples are given.

Multiscale Transient Thermal, Hydraulic, and Mechanical Analysis Methodology of a Printed Circuit Heat Exchanger Using an Effective Porous Media Approach

2013 ◽  
Vol 5 (4) ◽  
Author(s):  
Eugenio Urquiza ◽  
Kenneth Lee ◽  
Per F. Peterson ◽  
Ralph Greif
Keyword(s):  
Porous Media ◽  
Heat Exchanger ◽  
Heat Exchangers ◽  
Thermal Stresses ◽  
Complex Geometry ◽  
Computer Code ◽  
Mechanical Analysis ◽  
Transient Temperature ◽  
Printed Circuit ◽  
Transient Thermal

Printed circuit heat exchangers (PCHE) and the similar formed plate heat exchangers (FPHE) offer highly attractive economics due to their higher power densities when compared to more conventional shell-and-tube designs. However, their complex geometry makes them more vulnerable to damage from thermal stresses during transient thermal hydraulic conditions. Transient stresses far exceed those predicted from steady state analyses. Therefore, a transient, hydraulic, thermal, and structural analysis is needed to accurately simulate and design high performing PCHE. The overall length of the heat exchanger can be thousands of times larger than the characteristic length for the heat transfer and fluid flow. Furthermore, simulating the thermal hydraulics of the entire heat exchanger plate is very time consuming and computationally expensive. The proposed methodology mitigates this by using a multiscale analysis with local volume averaged (LVA) properties and a novel effective porous media (EPM) approach. This method is implemented in a new computer code named the compact heat exchanger explicit thermal and hydraulics (CHEETAH) code which solves the time-dependent, mass, momentum, and energy equations for the entire PCHE plate as well as hot and cold fluid streams using finite volume analysis (FVA). The potential of the method and code is illustrated with an example problem for a Heatric-type helium gas-to-liquid salt PCHE with offset strip fins (OSF). Given initial and boundary conditions, CHEETAH computes and plots transient temperature and flow data. A specially developed grid mapping code transfers temperature arrays onto adapted structural meshes generated with commercial FEA software. For the conditions studied, a multiscale stress analysis reveals mechanical vulnerabilities in the HX design. This integrated methodology using an EPM approach enables multiscale PCHE simulation. The results provide the basis for design improvements which can minimize flow losses while enhancing flow uniformity, thermal effectiveness, and mechanical strength.

Sign in / Sign up

Export Citation Format

Share Document