Temperature distributions and thermal stresses in a partially filled annulus

The problem consists of determining the temperature distribution and the thermal stresses in an annulus partly filled with a cold fluid with free convection in air as the outer thermal-boundary condition. An iterative computer solution provided temperature distributions which were compared to those measured experimentally. Analytical calculations of the stresses using Fourier series expression for the temperature distribution agreed with experimental results by photothermoelasticity. The stress-intensity factors determined by photothermoelasticity for partly filled annuli with a crack extending radially 1/5 of the wall thickness were compared with approximate analytical methods.     

Transient thermal stresses and thermal deformations in a solid cylinder with a moving boundary

Summary This paper is concerned with transient thermal stresses and thermal deformations of the axisymmetric problem of a solid cylinder on consideration of a moving boundary. Assuming that a heated edge of the cylinder which is kept at a constant temperature moves with a constant velocity, the temperature distribution of the cylinder is analyzed using a moving coordinate system. Thereafter, the associated thermal stress distributions and thermal displacements are determined with aid of the method of the thermoelastic potential function and Love's displacement function. As an illustration, numerical calculations are carried out for several values of the velocity of the moving boundary, and the influence of the velocity on the temperature distribution and the stress distribution are examined precisely.

---

Wärmespannungen und Verformungen in einem Zylinder mit bewegter Wärmequelle

Übersicht Es werden die Wärmespannungen und Verformungen in einem Zylinder untersucht, bei dem sich eine Wärmequelle mit konstanter Geschwindigkeit in axialer Richtung bewegt. Zunächst wird dabei die Temperaturverteilung im Zylinder mit Hilfe eines bewegten Koordinatensystems ermittelt. Dann werden die Wärmespannungen und die Verformungen mit der thermoelastischen Potentialfunktion und mit der Loveschen Verschiebungsfunktion bestimmt. Numerische Beispiele zeigen den Einfluß der Geschwindigkeit der Wärmequelle auf die Temperatur- und die Spannungsverteilung.

     

Experimental investigation of transient thermal stresses in a solid sphere

An experimental investigation was made to determine if a transient-thermal-stress distribution could be effectively analyzed using scattered-light photoelasticity. the problem selected for investigation was a solid sphere at one temperature subjected to a spherical symmetric temperature distribution at a different temperature. The results and techniques are discussed.     

Time-fractional radial heat conduction in a cylinder and associated thermal stresses

The theory of thermal stresses based on the heat conduction equation with the Caputo time-fractional derivative of order 0 < α ≤ 2 is used to investigate axisymmetic thermal stresses in a cylinder. The solution is obtained applying the Laplace and finite Hankel integral transforms. The Dirichlet and two types of Neumann problems with the prescribed boundary value of the temperature, the normal derivative of the temperature, and the heat flux are considered. Numerical results are illustrated graphically.     

Temperature displacements and stresses in glass-reinforced strip

Glass-reinforced strip consists of a strand of straightened glass fibers arranged in a definite order and impregnated with resin. The physicomechanical properties of glass-reinforced strip determine the design properties of oriented glass-reinforced plastics. It is therefore of interest to study the stress distribution in the structure and the physicochemical properties of glass-reinforced strip on the basis of models of a structurally inhomogeneous body and the various properties of reinforcement and resin.     

Transient thermal stresses in a strip with an eccentric hole

A procedure is presented for dealing with the constraint associated with the direction of the thickness of a thin model and for obtaining transient thermal stresses under plane-stress conditions; the stresses are induced by severe thermal loads. Thermal-stress-concentration factor in an unrestrained strip with an eccentric circular hole placed near the thermally loaded edge is obtained. One straight edge of the strip is cooled and the others are insulated. Consequently, two cases for which the hole acts remarkably as a stress raiser are found.     

An exact semi-analytic solution for residual stresses and strains within a thin hollow disc of pressure-sensitive material subject to thermal loading

There is considerable current interest in the development of constitutive equations for pressure-dependent plastic materials. In particular, in contrast to classical plasticity there is no commonly accepted relation to connect stress and strain or strain rate for such materials. Analytic and semi-analytic solutions are convenient to compare qualitative features of boundary value problems solved for different models. Such comparative studies can be useful to choose this or that model for specific applications. Analytic and semi-analytic solutions are also necessary to verify numerical codes. In the present paper, a new semi-analytic solution for a thin hollow disc subject to thermal loading is developed. A numerical method is only necessary to solve transcendental equations. The constitutive equations for connecting the plastic portion of the strain rate tensor and the stress tensor consist of the Drucker-Prager yield criterion and its associated flow rule. Therefore, the main distinguished feature of the solution is that the material is plastically compressible.     

Experimental separation of load and thermal stresses

Three possible methods for determining, separately, thermal and load stresses in a structure from the results of strain measurements are considered. It is shown theoretically that only one of these is feasible. An experimental verification of the proposed method, for temperatures up to 350° F, was obtained by means of thermal and load tests of a flat plate, and through analysis of data obtained by other investigators in experiments on a box beam.     

On thermal stresses and displacements in finned-tube panels

The end stresses in a finned-tube panel subjected to transverse temperature gradients are shown to be substantially different than those of a flat plate. Important differences occur due to the local bending of the tube and the extension of the tube beyond the end of the fin. On the other hand, stresses not near the ends and the in-plane deflections of a finned-tube panel are similar to those of a flat plate. These results are obtained by means of a review of flat-plate analysis and comparison with measurements made on two finned-tube panels with a step-transverse temperature gradient.