Determination of Transient Thermal Stresses in a Slab with Temperature‐Dependent Viscoelastic Properties

1963 ◽  
Vol 7 (1) ◽  
pp. 155-170 ◽  
Author(s):  
John S. Humphreys ◽  
Charles J. Martin
Keyword(s):  
Viscoelastic Properties ◽  
Thermal Stresses ◽  
Temperature Dependent ◽  
Transient Thermal

The Effects of Severe Thermal and Pressure Transients on the Survival of Internally Coated Tubes

2010 ◽  
Author(s):  
J. T. Harris ◽  
A. E. Segall ◽  
R. Carter
Keyword(s):  
Finite Element ◽  
Thermal Stresses ◽  
Elastic Analysis ◽  
Uniform Heating ◽  
Temperature Dependent ◽  
Pressure Function ◽  
Stress States ◽  
Transient Thermal ◽  
Hoop Stresses ◽  
Over Time

The effects of severe thermal and pressure transient pulses on the interior of coated tubes have been analyzed using finite-element methods. For the modeling, an axisymmetric mesh was developed and used to assess the transient, thermal- and stress-states and the propensity for fracture related damage. For all calculations, temperature dependent thermophysical and elastic properties were used during the analysis. The model also utilized uniform heating and pressure across the ID surface imposed via convective coefficients and a piece-wise linear pressure function over time. Results for the strictly elastic analysis indicated that both had a significant influence on the maximum circumferential (hoop) stresses and temperatures and that the compressive thermal-stresses help to offset any tensile components generated by the internal pressure on the ID. Preliminary calculations also investigated the influence of these factors when a crack was introduced at the interface of the coating and substrate.

A Simplified Transient Thermal Analysis of Resistance Spot Welding Process

2010 ◽  
Vol 154-155 ◽  
pp. 443-446
Author(s):  
Zhi Gang Hou ◽  
Jun Zhao ◽  
Li Qiang Xu ◽  
Zhong Guo
Keyword(s):  
Resistance Spot Welding ◽  
Spot Welding ◽  
Complex Structure ◽  
Welding Process ◽  
Temperature Dependent ◽  
Resistance Spot ◽  
Whole Process ◽  
History Of ◽  
Transient Thermal

In order to theoretically simulate the welding process of complex structure with large quantities of welding spots, a simplified method for analyzing a single spot welding should be developed firstly. In this paper, a 2D axisymmetric model of thermoelectric Finite Element Method (FEM) is developed to analyze the transient thermal behavior of Resistance Spot Welding (RSW) process using ANSYS. The determination of the contact resistance at the faying surface is moderately simplified to reduce the calculating time, while the temperature dependent material properties, phase change and convectional boundary conditions are taken into account for the improvement of the calculated accuracy. The thermal history of the whole process and temperature distributions for any position in the weldment is obtained through the analysis. The model can also predict the weld nugget size and the width of the Heat Affected Zone (HAZ).

Transient Thermal Stresses in Slabs and Circular Pressure Vessels

1953 ◽  
Vol 20 (2) ◽  
pp. 261-269
Author(s):  
M. P. Heisler
Keyword(s):  
Thermal Shock ◽  
Thermal Stresses ◽  
Pressure Vessels ◽  
Transient Temperature ◽  
Thermal Processes ◽  
Integral Theorem ◽  
Dimensionless Stress ◽  
Optimum Heating ◽  
Transient Thermal

Abstract This paper presents the results of computations for determining transient thermal stresses in slabs and circular pressure vessels. The process of solution adopted is to substitute transient-temperature formulas into the already available stress expressions. The expressions for thermal shock are transformed by means of a simple integral theorem into a form appropriate for analyzing the thermal processes commonly used to relieve thermal shock. A new dimensionless stress parameter is defined and applied to the determination of optimum heating or cooling times of massive pressure vessels.

On Transient Thermal Stresses in Viscoelastic Materials With Temperature-Dependent Properties

1961 ◽  
Vol 28 (2) ◽  
pp. 193-207 ◽  
Author(s):  
Rokuro Muki ◽  
Eli Sternberg
Keyword(s):  
Thermal Stresses ◽  
Constitutive Law ◽  
Time Dependent ◽  
Temperature Dependent ◽  
Infinite Extent ◽  
Temperature Dependent Properties ◽  
Transient Thermal ◽  
Temperature Time ◽  
Symmetric Temperature ◽  
Actual Test

This paper deals with the quasi-static analysis of transient thermal stresses in the linear theory of viscoelastic solids with temperature-dependent properties. The underlying constitutive law rests on the temperature-time equivalence hypothesis. Following an exposition of the theoretical framework exact solutions to two specific problems are deduced: The first concerns the thermal stresses in a slab of infinite extent, generated by a temperature field that depends arbitrarily on the thickness co-ordinate and time; the second application concerns the stresses produced in a sphere by an arbitrary time-dependent radially symmetric temperature distribution. The numerical illustrations of the results obtained include a quantitative study based on actual test data for a polymethyl methacrylate.

A Method of Analysis of Transient Thermal Stresses in Thermorheologically Simple Viscoelastic Solids

1964 ◽  
Vol 31 (1) ◽  
pp. 47-53 ◽  
Author(s):  
K. C. Valanis ◽  
George Lianis
Keyword(s):  
Thermal Stresses ◽  
Perturbation Technique ◽  
Sufficient Conditions ◽  
Solid Sphere ◽  
Temperature Fields ◽  
Transient Temperature ◽  
Temperature Dependent ◽  
Viscoelastic Solids ◽  
Temperature Dependent Properties ◽  
Transient Thermal

This paper is concerned with a perturbation technique suitable for the stress analysis of viscoelastic solids with temperature-dependent properties in the presence of nonuniform transient temperature fields. The problems of the infinite slab, solid sphere, and infinitely long viscoelastic cylinder are given solutions in the form of infinite series. Sufficient conditions for the convergence of the series are established.

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