Thermoelastic stress waves in a spherically aeolotropic medium with a spherical cavity, induced by a distributed heat source within the medium

1994 ◽  
Vol 32 (11) ◽  
pp. 1769-1789 ◽  
Author(s):  
J.C. Misra ◽  
N.C. Chattopadhyay ◽  
S.C. Samanta
Keyword(s):  
Heat Source ◽  
Spherical Cavity ◽  
Thermoelastic Stress ◽  
Stress Waves

Magnetically Induced Stress Waves in a Conducting Solid—Theory and Experiment

1974 ◽  
Vol 41 (3) ◽  
pp. 641-646 ◽  
Author(s):  
F. C. Moon ◽  
S. Chattopadhyay
Keyword(s):  
Magnetic Field ◽  
Half Space ◽  
Body Force ◽  
Capacitor Bank ◽  
Thermoelastic Stress ◽  
Compressional Wave ◽  
Stress Waves ◽  
Stress Fields ◽  
Radial Magnetic Field ◽  
Transient Magnetic Fields

The induction of stress waves by transient magnetic fields has been examined analytically for a conducting half space and experimentally for a cylindrical rod. The analytical model predicts both a body force generated compressional wave and a thermoelastic stress wave. The model shows the magnetic, temperature, and stress fields in the half space for various times after a prescribed magnetic field is applied at the boundary. In the experiment a transient, radial, magnetic field (up to 15 kilogauss) was applied to the end of a copper bar. The field was generated by discharging a small capacitor bank through a flat helical coil. The measured compressional stresses obtained in this manner were of the order of the measured magnetic pressure (B2/2μ0), at the end of the bar.

Thermal Fracturing of Hard Rock

1973 ◽  
Vol 40 (4) ◽  
pp. 909-914 ◽  
Author(s):  
P. J. Lauriello ◽  
Y. Chen
Keyword(s):  
Stress State ◽  
Brittle Fracture ◽  
Heat Source ◽  
Hard Rock ◽  
Thermoelastic Stress ◽  
Infinite Medium ◽  
Circular Area ◽  
Thermal Fracturing ◽  
Barre Granite

Thermal fracturing of hard crystalline in situ rock has been studied by solving the quasistatic uncoupled thermoelastic equations for a semi-infinite medium subjected to transient surface heating over a circular area by a constant flux or constant temperature convective heat source. The thermoelastic stress state is related to brittle fracture in rock according to an appropriate form of the Griffith and the modified Griffith theories. The predicted zone of weakening has been experimentally investigated by lasing samples of Barre granite. Measurements of the size of the in-depth fractures correlated well with the predicted results.

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