Yoitiro Takeuti

A GENERAL TREATISE ON THE THREE-DIMENSIONAL THERMOELASTICITY OF CURVILINEAR AEOLOTROPIC SOLIDS

The general approaches to the solution of asymmetrical three-dimensional unsteady thermal-stress problems are explained for curvilinear aeolotropic solids that are transversely isotropic about the radius vector. As an example, the temperature and stresses for a specific case are solved and computed.

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.

Transient thermal stresses in a bonded composite hollow circular cylinder under symmetrical temperature distribution

Abstract A general treatise for the transient thermal stress problem of a composite circular cylinder made by bonding is described under a symmetrical temperature distribution. Analysis is developed by stress function method by the aid of Laplace transforms. Numerical examples are illustrated for the hollow composite cylinder with several radius-ratios made by the different materials due to transient heating at the internal surface by liquid.

Approximate formulae for temperature distribution in a heat-generating polygonal cylinder with a central circular hole

Abstract Derivation of approximate formulae for temperature distribution in heat-generating polygonal cylinders with a central circular hole and thermally insulated outer boundary using the point matching method is being discussed.

TRANSIENT THERMAL STRESSES OF A HOLLOW SPHERE DUE TO ROTATING HEAT SOURCE

Abstract A three-dimensional theoretical treatment for the thermal-stress problems in spherical coordinates is developed. The first part is devoted to the relations of stress components in terms of thermoelastic displacement potential and a harmonic function. Next, a hollow sphere with a rotating heat source is considered as an illustrative example. The numerical calculations are then also carried out and the results shown graphically.

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. The authors are grateful to Mi. Ishikawa and Mr. Omichi for their computer calculations. Professor Takeutis mailing address is Department of Mechanical Engineering, University of Osaka Prefecture, Mozu, Sakai, 591, Japan.

Steady temperature distribution in a heat-generating multi-bore cylinder

Abstract In the present paper the approximate formulae for temperature distribution in the heat-generating multi-bore circular and square cylinders are presented for the purpose of applying to analysis on thermal stress problems in these regions.

Transient thermal stress in a transversely isotropic semi-infinife circular cylinder with asymmetrical heat generation on a cylindrical surface.

本報は, 端面から熱放散のある横等方性半無限円柱の側面が非軸対称な熱発生を受ける場合の非定常熱応力問題を理論的解析したものである. 解析には, 温度について一般化されたフーリエ変換, 応力について先に著者により提案した横等方性体に関するポテンシャル関数法を用いた. 横等方性体として黒鉛を例に, 温度と熱応力の数値計算を実行し, 等方性体との比較および検討を行った.

Coupled thermal stresses in a circular hollow cylinder due to the thermal and mechanical loads.

In usual analysis it is permissible to superpose the solution of pure thermal load problem on that of mechanical one. However, taking the thermomechanical coupling effect into account, such a superposition is not allowed. Nevertheless problems treated so far are pure thermal ones. Moreover pure thermal problems are not so much occurred in general. Thus it is important to investigate the influence of the mechanical load on temperature and stress distributions. In this paper a circular hollow cylinder under the thermal and mechanical loads is considered and it is pointed out that the influence of the mechanical load on temperature and stress distributions is considerable great and it can not be ignored.

THERMAL-STRESS PROBLEMS IN INDUSTRY. 4: THERMAL STRESSES AND DEFORMATIONS IN A PUNCH DURING SHEET-METAL BLANKING

The results of a theoretical analysis of the thermal stresses and deformations in a punch during sheet-metal blanking are presented. The problem is reduced to the determination of the unsteady thermal stresses and deformations in a semi-infinite circular cylinder subjected to finite surface heat generation over its lateral surface.