Transient Thermal Stress Problem Research Articles

Transient thermal stress problem of a orthotropic semi-infinite strip under consideration of a heated boundary moving with a constant velocity.

This paper is concerned with a transient thermal stress analysis of two-dimensional plane problems with orthotropic material properties under consideration of the effect of a heated moving boundary. In the theoretical development, a semi-infinite strip is treated. Assuming that the heated edge of a strip kept to a constant temperature moves with a constant velocity as a result of melting or freezing or freezing or some thermal and mechanical workings, temperature distributions are analyzed with aid of a moving coordinate system. Thereafter, the associate stress distributions are developed using with the Airy's stress function method. As an illustration, assuming that the heated boundary moves with a constant velocity, numerical calculations are carried out for several values of the anisotropic parameters of thermal and mechanical properties. These effects for the temperature and the associated stress distributions are examined.

TRANSIENT THERMAL STRESSES AT ELLIPTICAL HOLES NEAR AN EDGE

Abstract Results are presented for the photothermoelastic analysis of the quasi-static problem of transient thermal stresses around elliptical holes near the edge of a plate. Extrapolation of a linear regression formula to an infinitely narrow ellipse predicts the tip stresses at cracks near free boundaries.

Transient Thermal Stress Problem in a Transversely Isotropic Finite Length Circular Cylinder Due to an Asymmetric Heating

Transient Thermal Stress Problem in a Transversely Isotropic Finite Length Circular Cylinder Due to an Asymmetric Heating

Transient thermal stresses of solid and hollow spheres with spherically isotropic thermoelastic properties

In this paper, we deal with transient thermal stress problems of a spherical region under the condition that the continuum medium possesses spherically isotropic thermoelastic properties. For illustrative purposes, we have analyzed the transient thermal stress problems of solid and hollow spheres. From the numerical calculations it is shown that the thermal stress distributions vary considerably in accordance with the variation of the thermoelastic compliance constants.

THERMAL SHOCK FRACTURE IN AN EDGE-CRACKED PLATE

Abstract In this paper the transient thermal stress problem for an elastic strip with an edge crack is investigated. The elastic medium is assumed to be insulated on one face and cooled by surface convection on the face contaning the edge crack. Using the principle of superposition, the formulation results in a mixed boundary value problem, with the thermal stresses calculated from the thermoelasticity solution for an uncracked strip utilized as the necessary crack surface tractions. The resulting singular integral equation is of a well-known type and is solved numerically. In this paper, inertia effects are assumed negligible and possible temperature dependence of thermoelastic constants is not considered. The numerical results presented, include the stress intensity factor as a function of nondimensional time (Fourier number) and crack length, for various values of the dimensionless Biot number. The temperature distribution and the thermal stresses in the uncracked strip are also included. The time lag, which occurs between the time at which the stress on the surface of the strip is a maximum and the time when a maximum occurs in the stress intensity factor, is clearly shown to be a function of the Biot number for any given ratio of crack length to strip thickness. A result of particular interest is the degree with which the maximum stress intensity factor decreases, as a function of crack length, for decreasing values of the Biot number.

On an Axisymmetric Coupled Thermal Stress Problem in a Finite Circular Cylinder

This paper presents a general treatment of the transient thermal stresses of a finite circular cylinder with consideration of the thermomechanical coupling effect using a new technique. The method used is quite useful for the solution of a wide range of transient thermal stress problems in two or three dimensions. From numerical results, we can find that there is a clear effect on the thermal stress distribution when the coupling term is taken into account.

Transient Thermal Stress Problem in a Transversely Isotropic Semi-Infinite Body with a Sectional Heat Supply on a Surface

本論文は表面が局部加熱される横等方性半無限体の非定常熱応力を理論解析したものである.解析は先に著者により提案した円柱座標によるポテンシャル関数を用いた.各種横等方性材料に対し,温度,応力について数値計算を実行し,図示し,また等方性体との比較,検討を行った.

TRANSIENT THERMAL STRESS PROBLEM IN A TRANSVERSELY ISOTROPIC FINITE CIRCULAR CYLINDER UNDER THREE-DIMENSIONAL TEMPERATURE FIELD

Abstract This paper is concerned with a transient thermal stress problem in a finite circular transversely isotropic solid cylinder subjected to an asymmetrical temperature distribution on a cylindrical surface. The stress fields are found by use of potential functions method. As an example, the temperature and stress fields for a specific case are computed for the sake of comparison to the isotropic body.

TRANSIENT THERMAL STRESS PROBLEM FOR A CIRCUMFERENTIALLY CRACKED HOLLOW CYLINDER

The transient thermal stress problem for a hollow elasticity cylinder containing an internal circumferential edge crack is considered. It is assumed that the problem is axisymmetric with regard to the crack geometry and the loading, and that the inertia effects are negligible. The problem is solved for a cylinder which is suddenly cooled from inside. First the transient temperature and stress distributions in an uncracked cylinder are calculated. By using the equal and opposite of this thermal stress as the crack surface traction in the isothermal cylinder the crack problem is then solved and the stress intensity factor is calculated. The numerical results are obtained as a function of the Fourier number tD/b(2) representing the time for various inner-to-outer radius ratios and relative crack depths, where D and b are respectively the coefficient of diffusivity and the outer radius of the cylinder.

Photothermoelastic analysis of transient thermal stresses

Photothermoelasticity by means of heating is used to obtain an experimental solution to the quasi-static problem of transient thermal stresses around elliptical holes. Empirical equations are obtained for the maximum stresses due to step temperature changes at the edges of the plates.

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.

Transient Thermal Stress Problem in a Thick Circular Plate Due to Sectional Heat Supply on Its Flat Surfaces

Transient Thermal Stress Problem in a Thick Circular Plate Due to Sectional Heat Supply on Its Flat Surfaces

Transient Thermal Stress Problem in a Transversely Isotropic Thick Plate with a Sectionary Heat Supply on Its Surfaces

本論文は,表面が局部加熱される横等方無限広さの厚板の非定常熱応力を理論解析したものである.解析は先に著者により提案した円柱座標系におけるポテンシャル関数法を用いた.そして,各種横等方性材料および板厚の変化に対し,温度と熱応力について数値計算を実行し,図示し,また等方性体との比較と検討をおこなった.

THERMAL-STRESS PROBLEMS IN INDUSTRY. 6: TRANSIENT THERMAL STRESSES IN A PLATE DUE TO ROLLING WITH CONSIDERATION OF COUPLING EFFECT

Abstract In this paper, the transient thermal-stress problem in a plate subjected to frictional heat generation in rolling ( or welding) is theoretically analyzed with the consideration of the thermomechanical coupling effect. Numerical evaluation is carried out for the temperature distribution, thermal stresses, and thermal deformation in a flat plate heated by linear heat sources which are located symmetrically on both surfaces and which move with constant velocity.

Coupled Thermoelastic Problem in Three‐Dimensions

AbstractA new technique is proposed to the coupled thermoelastic problems in three‐dimensions. In the basic relations we introduce an additive harmonic function and then it is possible to separate both thermal and elastic fundamental differential equations Taking advantage of this technique we will be able to obtain the exact solution for the whole time range in the three‐dimensional transient thermal stress problem of a circular cylinder. Several numerical results in temperature and stress distribution are given for the sake of comparison to the classical results.

THERMAL-STRESS PROBLEMS IN INDUSTRY. 5: THREE-DIMENSIONAL TRANSIENT THERMAL STRESSES IN ROLLS UNDER ROTATING PARTIAL HEAT SOURCE

The problem of transient thermal stresses in rolls of CCP is solved using three-dimensional theory under the conditions of a rotating arc heat source of finite length in the axial direction.

TRANSIENT THERMAL STRESSES AROUND AN ELLIPTICAL HOLE

An experimental solution is presented to the quasistatic problem of transient thermal stresses around an elliptical hole in a plate. Photothermoelasticity by means of heating is used as the experimental technique, and empirical equations are obtained for maximum stress due to a step temperature change at the edge of the plate.

Transient Thermal Stress Problems in a Finite Length Circular Cylinder under a Nonuniform Heat Supply

Transient Thermal Stress Problems in a Finite Length Circular Cylinder under a Nonuniform Heat Supply

A new numerical method for transient thermal stress problems

AbstractA 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.

Transient Thermal Stress Problem in an Orthotropic Hollow Circular Cylinder which is Asymmetrically Heated by Fluid

本論文では非対称流体加熱による直交異方性中空円筒の非定常熱応力を理論解析した.温度分布はラプラス変換を用いて解析し,応力は五種関数法を用いて解析した.種々の材料定数に対し,熱応力・温度を計算し,図示した.