Journal ArticleDOI
Thermal stress-focusing effect following rapid uniform heating of spheres and long cylindrical rods
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TLDR
In this paper, the authors reviewed recent extensions of the analytical methods for the problem of thermal stress-focusing in spheres and cylindrical rods, and the major accomplishment of this study is in gaining a better understanding of the thermal stress focusing effect in solid spheres and cylinders.Abstract:
Stress waves that develop following the rapid uniform heating of linear-elastic spheres and long cylindrical rods display a stress-focusing effect as they proceed radially toward the center in these geometries. The stress-focusing effect is the phenomenon that, under a rapid uniform heating, stress waves reflected from the free surface of the spheric or the cylindrical rod result in very high stresses at the center even though the initial thermal stress might be relatively small. This phenomenon may be observed in the solid spheres subjected to the spherical symmetric heating and in the cylindrical rods subjected to the cylindrical symmetric heating. This type of heating may be caused by the absorption of infrared rays radiation or electromagnetic radiant energy. This article reviews recent extensions of the analytical methods for the problem of thermal shock in spheres and cylindrical rods, especially for the problem of the thermal stress-focusing effect in spheres and cylindrical rods. First, considering the problem of thermal shock in a hollow sphere subjected to the rapid uniform heating, if the ratio of the outer radius to the inner radius of the sphere increases, the peak tangential stress at the internal surface becomes higher and higher. In the limit case, for a solid sphere, it might be possible to observe the stress-focusing effect. Next, as for the analysis of a cylindrical rod due to the rapid uniform heating, stress waves also show the stress-focusing effect. Hence, the major accomplishment of this study is in gaining a better understanding of the thermal stress-focusing effect in solid spheres and cylindrical rods.read more
Citations
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Journal ArticleDOI
Axisymmetric thermoelastic analysis in a finite hollow cylinder due to nonuniform thermal shock
TL;DR: In this paper, an exact solution for two-dimensional elastodynamic analysis of finite hollow cylinder excited by non-uniform thermal shock was obtained by employing the expansion of trigonometric series method and the separation of variables technique.
Journal ArticleDOI
Thermal shock analysis and thermo-elastic stress waves in functionally graded thick hollow cylinders using analytical method
TL;DR: In this paper, the authors studied the time histories of radial and hoop stresses in FG cylinders with different thickness and various volume fraction exponents, and the effects of cylinder thickness and convection heat transfer coefficient on dynamic response of FG cylinder are revealed.
Journal ArticleDOI
A computational investigation of strain concentration in the brain in response to a rapid temperature rise.
Amy M. Dagro,Justin Wilkerson +1 more
TL;DR: It is shown that a stress-focusing effect due to a rapid temperature increase may result in brain tissue strains larger than the initially applied thermal strains.
Journal ArticleDOI
Analysis of the Thermal Stress- Focusing Effect in a Spherical Inclusion Embedded in an Infinite Elastic Medium
TL;DR: In this paper, the effects of stress-focusing effects in an infinite elastic medium with a spherical inclusion were analyzed using the ray integrals. But the authors did not consider the effect of the spherical inclusion on the stress wave.
Book ChapterDOI
Stress-Focusing Effects in a Spherical Inclusion Embedded in an Infinite Medium Caused by Instantaneous Phase Transformation
TL;DR: In this article, a phenomenological model is proposed to describe the situation, which involves the interaction between a thermal shock and a dynamic inhomogeneity with a stress-induced martensitic transformation in a spherical particle of Zirconia embedded in an infinite elastic matrix.
References
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Journal ArticleDOI
Handbook of Mathematical Functions
Book
Conduction of Heat in Solids
H. S. Carslaw,John Conrad Jaeger +1 more
TL;DR: In this paper, a classic account describes the known exact solutions of problems of heat flow, with detailed discussion of all the most important boundary value problems, including boundary value maximization.
Book
Wave propagation in elastic solids
TL;DR: In this article, the linearized theory of elasticity was introduced and the elasticity of a one-dimensional motion of an elastic continuum was modeled as an unbound elastic continuum.
Book
Theory of thermal stresses
TL;DR: Theory of thermal stresses, Theory of Thermal Stresses, this paper, Theory of thermal stress, and thermal stresses theory, thermal stresses and thermal stress theory in literature, 2015.
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