Asymmetrical transient thermoelastic problems in a composite hollow circular cylinder

The present paper is concerned with the transient thermal stresses in a bonded composite hollow circular cylinder under an arbitrary asymmetrical heat supply. Numerical work is carried out using Laplace transforms and is given for the composite cylinder made of the different materials under three, band heat sources on its outer surface.     

The effects of dynamical treatment of thermal stresses on a circular region due to continuous point heat source

The investigation referring to the effects of inertia term on the plane transient thermal stress problems are treated for a solid circular cylinder under a continuous point heat source.     

A new numerical method for transient thermal stress problems

A new numerical method of calculating unsteady-state heat conduction and thermal stresses by using improved coefficient matrix patterns on the nodal points of a structure is given. Good agreement is obtained between our results and the rigorous results, and this method seems to yield better accuracy than other well-known approximate methods for two-dimensional transient thermal stress problems.     

THREE-DIMENSIONAL TRANSIENT THERMAL STRESSES IN A FINITE CIRCULAR CYLINDER UNDER NONAXISYMMETRIC TEMPERATURE DISTRIBUTION

A general analysis is developed for the complete three-dimensional transient thermal-stress distribution in a finite circular cylinder subject to arbitrary heating of the lateral surface with arbitrary heat transfer into the surrounding medium. The problem is formulated in terms of the modified Boussinesq functions and the thermoelastic displacement potential, which seem convenient in form and have the advantage of being applicable to non-axisymmetric problems. The solution meets the tractionfree boundary conditions on both the lateral surface and the plane ends of the cylinder. Graphical illustrations are provided.     

Coupled thermal stress problem in a hollow sphere under a partial heating

In a precise analysis of transient thermal stress problem, this requires the corrected heat equation taking into account of the thermo-mechanical coupling term. In this report, we deal with the transient thermal stress problem in a hollow sphere accompanied by the simultaneous determination of stress and temperature distributions. A new technique is developed in this report and numerical works are carried out. From our results, it should be concluded that the small lag can be found in case of ordinal practical materials.     

THERMAL-STRESS PROBLEMS IN INDUSTRY. 3: TEMPERATURE DEPENDENCY OF ELASTIC MODULI FOR SEVERAL METALS AT TEMPERATURES FROM -196 TO 1000° C

The temperature dependency of the dynamic moduli of elasticity of steel and aluminum and copper alloys was investigated experimentally by an ultrasonic-wave method, in the temperature range from —196 to 1000°C. The results are compared with those obtained by the resonant-frequency method and are represented as empirical formulas. Useful data for commercial alloys are given in tables, by chemical composition.     

FOUNDATIONS FOR COUPLED THERMOELASTICITY

This article outlines a basic view of coupled thermoelasticity through the application of the first two laws of thermodynamics to thermal-stress problems in general continuous solids subject to moderately large temperature variations.     

THERMAL-STRESS PROBLEMS IN INDUSTRY. 1: ON THERMOELASTIC DISTORTION IN MACHINING METALS

Abstract

This paper is a theoretical analysis of the thermoelastic effect upon accuracy in the machining of metals. The problem is reduced to the unsteady thermoelastic analysis of a solid cylinder heated on the surface axisym-metrically by a moving heat source under an axial restraint. The thermal and elastic distortions of the workpiece are computed, and the error in the shape is plotted.