Thermal stresses in a transversely isotropic elastic solid weakened by an external circular crack

1987 ◽  
Vol 23 (3) ◽  
pp. 403-412 ◽  
Author(s):  
B.M. Singh ◽  
H.T. Danyluk ◽  
A.P.S. Selvadurai
Keyword(s):  
Thermal Stresses ◽  
Circular Crack ◽  
Elastic Solid ◽  
Transversely Isotropic ◽  
External Circular Crack

scholarly journals An External Circular Crack in an Infinite Solid Under Axisymmetric Heat Flux Loading in the Framework of Fractional Thermoelasticity

Entropy ◽  
2021 ◽  
Vol 24 (1) ◽  
pp. 70
Author(s):  
Yuriy Povstenko ◽  
Tamara Kyrylych ◽  
Bożena Woźna-Szcześniak ◽  
Renata Kawa ◽  
Andrzej Yatsko
Keyword(s):  
Heat Flux ◽  
Thermal Stresses ◽  
Time Derivative ◽  
Circular Crack ◽  
Constant Heat Flux ◽  
Circular Ring ◽  
Different Types ◽  
External Circular Crack ◽  
Fractional Heat Conduction ◽  
Real Solid

In a real solid there are different types of defects. During sudden cooling, near cracks, there can appear high thermal stresses. In this paper, the time-fractional heat conduction equation is studied in an infinite space with an external circular crack with the interior radius R in the case of axial symmetry. The surfaces of a crack are exposed to the constant heat flux loading in a circular ring R<r<ρ. The stress intensity factor is calculated as a function of the order of time-derivative, time, and the size of a circular ring and is presented graphically.

Forced Vibrations of a Transversely Isotropic Composite Containing an External Circular Crack

2001 ◽  
Author(s):  
Y. M. Tsai
Keyword(s):  
Stress Intensity Factor ◽  
Stress Intensity ◽  
Dynamic Stress ◽  
Crack Surface ◽  
Dynamic Stress Intensity Factor ◽  
Circular Crack ◽  
Transversely Isotropic ◽  
Force Frequency ◽  
Isotropic Composite ◽  
External Circular Crack

Abstract The problem of a transversely isotropic composite containing an external circular crack is investigated using the method of Hankel transforms. A pair of tensile vibratory forces of equal amplitude are applied normal to the crack surface at infinity. A complete contour integration is employed to simplify the expressions of the results. An exact expression of the dynamic stress-intensity factor is obtained as a function of the force frequency and the anisotropic material constants. The normalized dynamic stress-intensity factor is shown to have different maximum values at different force frequencies for the sample fiber-reinforced and metal matrix composites. The deviation of the dynamic crack surface displacement from the associated static displacement is also shown to be dependent on the force frequency and the anisotropy of the material.

Thermal Stresses in Transversely Isotropic Semi-Infinite Elastic Solids

1958 ◽  
Vol 25 (1) ◽  
pp. 86-88
Author(s):  
Brahmadev Sharma
Keyword(s):  
Thermal Stress ◽  
Steady State ◽  
Thermal Stresses ◽  
Elastic Solid ◽  
Transversely Isotropic ◽  
Elastic Solids ◽  
Stress Problem ◽  
Method Of Solution ◽  
General Method

Abstract A general method of solution of the steady-state thermal-stress problem of a transversely isotropic semi-infinite elastic solid is given in this paper.

Dynamic Response to Normal Stresses in a Transversely Isotropic Material Containing an External Circular Crack

1992 ◽  
Vol 114 (2) ◽  
pp. 208-212 ◽  
Author(s):  
Y. M. Tsai
Keyword(s):  
Stress Intensity Factor ◽  
Stress Intensity ◽  
Intensity Factor ◽  
Isotropic Material ◽  
Dynamic Stress ◽  
Dynamic Stress Intensity Factor ◽  
Circular Crack ◽  
Transversely Isotropic ◽  
Transversely Isotropic Material ◽  
External Circular Crack

The dynamic response of an external circular crack to a harmonic longitudinal wave in a transversely isotropic material is investigated using the techniques of Hankel transform. The wave impinges normally onto the crack surfaces. The inversion integral is evaluated and simplified through a complete contour integration. An exact expression for the dynamic stress intensity factor is obtained in terms of the wave frequency and the anisotropic material constants. The maximum value of the normalized dynamic stress-intensity factor is shown to occur at different wave frequencies for different sample composite and metallic materials. The dynamic effect on the crack surface displacement is also shown to be a function of the wave frequency and the material anisotropy.

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