scholarly journals Transient Thermal Stresses in a Reinforced Hollow Disk or Cylinder Containing a Radial Crack

1985 ◽  
Vol 107 (1) ◽  
pp. 212-219 ◽  
Author(s):  
Renji Tang ◽  
F. Erdogan
Keyword(s):  
Thermal Stress ◽  
Thermal Stresses ◽  
Radial Crack ◽  
Sudden Change ◽  
Base Material ◽  
Transient Temperature ◽  
Membrane Interface ◽  
Intensity Factors ◽  
Special Cases ◽  
Transient Thermal

In this paper, the transient thermal stress problem in a hollow cylinder or a disk containing a radial crack is considered. It is assumed that the cylinder is reinforced on its inner boundary by a membrane which has thermoelastic constants different than those of the base material. The transient temperature, thermal stresses, and the crack tip stress intensity factors are calculated in a cylinder which is subjected to a sudden change of temperature on the inside surface. The results are obtained for various dimensionless parameters and material constants. The special cases of the crack terminating at the cylinder-membrane interface and of the broken membrane are separately considered and some examples are given.

The Transient Thermal Stress and Deflection of a Brake

2005 ◽  
Author(s):  
Yuan Mao Huang ◽  
Shih-Han Chen
Keyword(s):  
Thermal Stress ◽  
Thermal Gradient ◽  
Transient Temperature ◽  
Outer Diameter ◽  
The Finite Element Method ◽  
Dimensional Model ◽  
Uniform Temperature ◽  
Principal Stresses ◽  
Disk Brake ◽  
Transient Thermal

This study utilizes the finite element method with a two-dimensional model of a disk brake and investigates its distributions of the transient temperature, thermal gradient, heat flux, thermal stress and deflection due to friction. A specified initial uniform temperature of the disk is used to simulate heat transfer of the disk. Since the temperature of the disk brake inboard is higher than that of the disk brake outboard, the deflection of the disk brake inboard is larger than those at other locations. The maximum deflection of 0.4 mm occurs at the outer diameter of the disk inboard. The disk expands radial outward and bends from the disk brake inboard toward the disk brake outboard. The coning angle between the disk outboard surface and the original vertical disk outboard surface is 0.39°, which is comparable with the existing datum of 0.35°. The principal stresses at the lower mounting location are 184 MPa and 236 MPa. The calculated safety factor is 1.27 based on the modified Mohr theory used for brittle materials, and this disk brake is reliable.

The Transient Temperature and Thermal Stresses on Metal Material Irradiated by Multi-Pulse Short Power

2011 ◽  
Vol 130-134 ◽  
pp. 873-878
Author(s):  
Guang Ying Xu
Keyword(s):  
Thermal Stress ◽  
Laser Pulse ◽  
Pulse Width ◽  
Thermal Stresses ◽  
Transient Temperature ◽  
Fourier Law ◽  
Pulse Laser Irradiation ◽  
Metal Material ◽  
Laser Pulse Width ◽  
Thermal Stress Field

Based on the non-Fourier law and thermo-elastic theory, the non-Fourier expressions of the temperature field and the thermal stress field of metal material under multi-pulse laser irradiation were deduced. Taken stainless metal and two pulse width (ω=4ps,4fs) as an example, The effects that distributions and variations of transient temperature and thermal stress are influenced by laser pulse width are studied. The results show that the magnitude and frequency of transient temperature and thermal stress are seriously affected by the laser pulse width. More narrower the laser pulse width, faster and higher the local temperature rise; as well as the thermal stresses.

scholarly journals Modeling of thermal stresses during hardening the product surface by thermal pulse

2021 ◽  
Vol 64 (11) ◽  
pp. 815-824
Author(s):  
M. V. Temlyantsev ◽  
O. L. Bazaikina ◽  
E. N. Temlyantseva ◽  
V. Ya. Tsellermaer
Keyword(s):  
Thermal Stress ◽  
Stress Tensor ◽  
Thermal Stresses ◽  
Heaviside Function ◽  
Radial Coordinate ◽  
Single Wave ◽  
Temperature Pulse ◽  
Functional Series ◽  
Numerical Example ◽  
Special Cases

A particular solution of a linear variant of the dynamic thermal elasticity problem is considered in application to modeling the conditions of surface hardening of metal products by an energy pulse. The authors determined the equation of medium motion with the model of temperature pulse tested earlier for compatibility with special cases of the equations of parabolic and hyperbolic thermal conductivity. The problem of loading a flat plane of a short circular cylinder (disk) with a temperature pulse is presented. Pulse is a consequence of adopted structure of the volumetric power density of the heat flux, the time multiplier of which has the form of a single wave of the Heaviside function. Classical thermoelastic displacement potential and the method of its division into the product of independent variables functions were used to construct the thermal stress tensor. Differential equations for multiplier functions and their general solutions were found. Natural boundary conditions were set for the components of thermal stress tensor, and their tasks were solved. The obtained solutions are in the form of segments of functional series (the Bessel function in radial coordinate and the exponential function in axial coordinate). The article considers a numerical example of loading a disk made of 40KhN steel which has the mechanical properties sensitive to temperature treatment. Maple computer mathematics package was used in the calculations. Approximate solutions take into account the first 24 terms of the functional series. Estimation of the example makes it possible to explain the presence of stress peaks and stress intensity as a consequence of mutually inverse processes of temperature stress growth and reduction of elasticity coefficients with temperature rise. The numerical example warns against relying only on estimates of solutions to thermoelasticity problems without taking into account the plastic and viscous properties of the material.

A Green’s Function for the Stress-Intensity Factors of Edge Cracks and Its Application to Thermal Stresses

1969 ◽  
Vol 91 (4) ◽  
pp. 618-624 ◽  
Author(s):  
A. F. Emery ◽  
G. E. Walker ◽  
J. A. Williams
Keyword(s):  
Stress Intensity ◽  
Green’S Function ◽  
Green's Function ◽  
Stress Intensity Factors ◽  
Thermal Stresses ◽  
Rectangular Plates ◽  
Intensity Factors ◽  
Edge Cracks ◽  
Predicted Values ◽  
Transient Thermal

A Green’s function for the computation of stress-intensity factors for edge cracks in rectangular plates is given for any distribution of stress in the uncracked plate which is tensile over the crack length. The function is used to compute stress intensity factors for transient thermal stresses produced by sudden cooling of one edge. Experimentally measured stresses and stress-intensity factors are given and shown to be in good agreement with the predicted values.

Transient Thermal Stresses in a Semi-Infinite Slab

1960 ◽  
Vol 27 (1) ◽  
pp. 93-103 ◽  
Author(s):  
W. Jaunzemis ◽  
E. Sternberg
Keyword(s):  
Thermal Stresses ◽  
Heat Conduction Problem ◽  
Theory Of Elasticity ◽  
Transient Temperature ◽  
Finite Segment ◽  
Infinite Slab ◽  
In Series ◽  
Transient Thermal ◽  
External Loads ◽  
Uniform Change

This investigation is concerned with the transient temperature and thermal-stress distribution generated in a semi-infinite slab if a finite segment of its edge is subjected to a sudden uniform change in temperature. The slab is supposed to be free from external loads and its faces are assumed to be insulated. Exact solutions in series form are obtained both for the heat-conduction problem and for the associated thermoelastic problem. The latter is treated quasi-statically within the classical two-dimensional theory of elasticity. The thermal stresses appropriate to the generalized plane-stress solution vanish identically in the limit as time tends to infinity. The space and time dependence of these stresses is examined in some detail with a view toward tracing the evolution of this well-known, steady-state degeneracy. Finally, the results corresponding to an instantaneous heating or cooling of a portion of the boundary are used to study the effect upon the stresses of gradual changes in the surface temperature.

A Three-Dimensional Treatment of Transient Thermal Stresses in a Circular Cylinder Due to an Arbitrary Heat Supply

1978 ◽  
Vol 45 (4) ◽  
pp. 817-821 ◽  
Author(s):  
Y. Takeuti ◽  
N. Noda
Keyword(s):  
Thermal Stress ◽  
Circular Cylinder ◽  
Cylindrical Surface ◽  
Heat Supply ◽  
Thermal Stresses ◽  
Three Dimensional ◽  
Numerical Results ◽  
Stress Problem ◽  
Transient Thermal Stress ◽  
Transient Thermal

We deal with a transient thermal stress problem in an infinitely long circular cylinder due to a nonuniform heat supply in circumferential and longitudinal directions on its cylindrical surface. The analysis is developed using the Boussinesq-Papkovich functions. Numerical results are given for several forms of heat supply.

Sign in / Sign up

Export Citation Format

Share Document