Quasi-static Thermal Stresses Research Articles

Nonstationary Quasi-Static Thermal Displacements and Thermal Stresses in a Cylindrical Body of Finite Height Subject to Convective Heat Losses

The quasi-static thermoelastic differential equations for a cylindrical body of finite height, subject to convective heat losses from all the three faces, have been solved analytically assuming that the film coefficients for the three faces are different. Expressions for displacements and stresses are obtained in the dimensionless form and curves showing dimensionless displacements and stresses are presented.

Quasi-static thermal stress due to a moving heat source in a circular disk

Quasi-static thermal stress due to a moving heat source in a circular disk

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

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.

Thermal Shock on a Finite Disk Due to an Instantaneous Point Heat Source

This paper contains an exact solution for the transient temperature distribution and the associated quasi-static thermal stresses and deformations which arise in a finite circular disk subjected to an instantaneous point heat source acting on its periphery. The solutions given are in the form of double infinite series, and extensive illustrative numerical results are included. The solutions are pertinent to problems which occur in welding engineering and in modern nuclear technology.

Transient thermal stresses associated with sudden initiation of internal heat generation in an axial segment of a circular cylinder

An exact solution is given for the quasi-static thermal stress field associated with the transient temperatures arising when an infinite, homogeneous, isotropic, right circular cylinder, cooled at its surface by a temperature-independent boundary conductance, suddenly begins, and thereafter maintains, uniform internal heat generation within a finite axial region. The problem is of interest in certain nuclear-reactor analyses related to the behavior of fuel elements during power transients. The solution form is well suited to numerical evaluation, and extensive numerical results are given.

Thermal stresses in bonded materials containing cuts on the interface

A direct method to obtain quasi-static thermal stresses in bonded dissimilar materials containing fully or partially insulated flat cavities on the interface has been developed. Some specific examples concerning steady-state plane thermoelastic problems have been considered and the relative importance of the insulation is discussed. It is found that, unlike the residual stress problems in which the shear stress is dominant along the bond, the normal stress is the dominant bonding stress in the thermal stress problems and hence from the view point of failure of the bonded joints thermal stresses are potentially more dangerous than the residual stresses resulting from homogeneous temperature changes.

Transient Thermal Stresses in a Circular Cylinder

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.

A note on stresses caused by cold rolling

In the strip-rolling process, inadequate work roll cooling often produces high roll temperature and temperature gradients. High thermal stresses resulting from high temperature gradients are responsible for roll surface cracking and spalling. An understanding of the thermal induced stresses is essential toward evaluating roll wear and designing a proper roll-cooling system for increasing roll life and securing better product quality. In this paper, a quasi-static thermal stress solution presented in integral form is developed for an arbitrary temperature distribution in the work roll. The importance of mechanical and thermal stresses in the work roll under cold rolling and hot rolling conditions is investigated.