Thermal Stresses in Anisotropic Hollow Cylinders

1965 ◽  
Vol 87 (2) ◽  
pp. 391-397 ◽  
Author(s):  
Tu-Lung Weng
Keyword(s):  
Isotropic Material ◽  
Critical Stress ◽  
Thermal Stresses ◽  
Transversely Isotropic ◽  
Transversely Isotropic Material ◽  
Gas Temperature ◽  
Numerical Examples ◽  
Temperature Boundary ◽  
Degree Of Anisotropy ◽  
Hollow Cylinders

The equations of thermal stresses and displacements in anisotropic hollow cylinders subjected to various selected temperature boundary conditions have been derived. The hollow cylinder is assumed to be made of transversely isotropic material. Several numerical examples are treated and the effects of the degree of anisotropy on the magnitudes of the critical stress and maximum permissible gas temperature for various sizes of grades ATJ and ZTA graphite hollow cylinders are examined. The errors which could result from the assumption of isotropic material are calculated.

Stress Concentration Around a Hyperboloidal Notch Under Tension in a Transversely Isotropic Material

1971 ◽  
Vol 38 (1) ◽  
pp. 185-189 ◽  
Author(s):  
W. T. Chen
Keyword(s):  
Stress Concentration ◽  
Tensile Stress ◽  
Isotropic Material ◽  
Tensile Force ◽  
Closed Form Solution ◽  
Elastic Solid ◽  
Transversely Isotropic ◽  
Form Solution ◽  
Transversely Isotropic Material ◽  
Numerical Examples

An elastic solid is composed of a transversely isotropic material bounded by a single-sheeted hyperboloid of revolution, which is traction free. This solid is subjected to a finite tensile force at infinity. A closed-form solution based upon the potential functions approach is obtained. Numerical examples of the tensile stress at the narrowest section are presented.

THE ANALYSIS OF DYNAMICAL RESPONSE OF TRANSVERSELY ISOTROPIC MATERIAL UNDER BLASTING LOAD

2008 ◽  
Vol 22 (09n11) ◽  
pp. 1443-1448
Author(s):  
YUE-XIU WU ◽  
QUAN-SHENG LIU
Keyword(s):  
Isotropic Material ◽  
Peak Velocity ◽  
Transversely Isotropic ◽  
Normal Direction ◽  
Dynamical Response ◽  
Transversely Isotropic Material ◽  
Peak Acceleration ◽  
Loading Direction ◽  
Blasting Load ◽  
Explosion Load

To understand the dynamic response of transversely isotropic material under explosion load, the analysis is done with the help of ABAQUS software and the constitutive equations of transversely isotropic material with different angle of isotropic section. The result is given: when the angle of isotropic section is settled, the velocity and acceleration of measure points decrease with the increasing distance from the explosion borehole. The velocity and acceleration in the loading direction are larger than those in the normal direction of the loading direction and their attenuation are much faster. When the angle of isotropic section is variable, the evolution curves of peak velocity and peak acceleration in the loading direction with the increasing angles are notching parabolic curves. They get their minimum values when the angle is equal to 45 degree. But the evolution curves of peak velocity and peak acceleration in the normal direction of the loading direction with the increasing angles are overhead parabolic curves. They get their maximum values when the angle is equal to 45 degree.

scholarly journals Elastic-plastic transition stresses in a transversely isotropic thick-walled cylinder subjected to internal pressure and steady-state temperature

2009 ◽  
Vol 13 (4) ◽  
pp. 107-118 ◽  
Author(s):  
Thakur Pankaj
Keyword(s):  
Steady State ◽  
Internal Pressure ◽  
Isotropic Material ◽  
Internal Surface ◽  
Transversely Isotropic ◽  
Percentage Increase ◽  
Transversely Isotropic Material ◽  
Elastic Plastic ◽  
Steady State Temperature ◽  
Walled Cylinder

Elastic-plastic transitional stresses in a transversely isotropic thick-walled cylinder subjected to internal pressure and steady-state temperature have been derived by using Seth's transition theory. The combined effects of pressure and temperature has been presented graphically and discussed. It has been observed that at room temperature, thick-walled cylinder made of isotropic material yields at a high pressure at the internal surface as compared to cylinder made of transversely isotropic material. With the introduction of thermal effects isotropic/transversely isotropic cylinder yields at a lower pressure whereas cylinder made of isotropic material requires less percentage increase in pressure to become fully-plastic from its initial yielding as compared to cylinder made of transversely isotropic material.

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