Transient thermal stresses associated with sudden initiation of internal heat generation in an axial segment of a circular cylinder

1969 ◽  
Vol 9 (1) ◽  
pp. 63-80 ◽  
Author(s):  
Richard A. Valentin ◽  
Daniel F. Schoeberle
Keyword(s):  
Circular Cylinder ◽  
Heat Generation ◽  
Thermal Stresses ◽  
Internal Heat ◽  
Internal Heat Generation ◽  
Transient Thermal

Transient Temperatures and Thermal Stresses in Hollow Cylinders Due to Heat Generation

1960 ◽  
Vol 82 (4) ◽  
pp. 273-278 ◽  
Author(s):  
John E. Schmidt ◽  
George Sonnemann
Keyword(s):  
Thermal Stress ◽  
General Solution ◽  
Circular Cylinder ◽  
Heat Generation ◽  
Thermal Stresses ◽  
Internal Heat ◽  
Internal Heat Generation ◽  
Reference Temperature ◽  
Hollow Cylinders ◽  
Zero Reference

A general solution for the transient temperatures and thermal stress is obtained for a right circular cylinder with internal heat generation varying exponentially with the radius by use of Hankel transforms. Curves for the maximum thermal stresses are presented for diameter ratios up to 1.2 and for a variety of internal heat-generation rates for internal heat-generation transients with both cylinder walls maintained at zero reference temperature at all times.

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