Cracks in Materials with Hyperbolic-Sine-Law Creep Behavior

Author(s):  
JL Bassani
1983 ◽  
Vol 105 (3) ◽  
pp. 168-172 ◽  
Author(s):  
Y. S. Lee ◽  
L. C. Smith

An analysis of the rolling process is performed presuming rate dependent materials described by the hyperbolic sine law which represents the low and medium stress levels. The materials described by the power law illustrate the deviation from actual creep behavior in the region of small creep rates. The assumptions employed in the analysis are consistent with assumptions commonly used in the analysis of the rolling process. The vertical and horizontal stress distribution in the roll gap for various Coulomb friction coefficients are obtained by solving the VonKarman equilibrium equation. The intention of the analysis discussed herein is to emphasize the method used to solve the equation defining the rolling process presuming hyperbolic sine law materials rather than to show the practical application of the results obtained from this analysis.


1984 ◽  
Vol 51 (3) ◽  
pp. 475-480 ◽  
Author(s):  
J. L. Bassani

At high stress levels the creep strain rate for many materials varies as the exponential of stress while at low stresses it varies as stress to some power. An analysis is presented for a sharp notch under antiplane shear loading in a material that deforms by hyperbolic-sine-law creep, ε˙c = ε˙0[sinh(σ/σ0)]n. The asymptotic notch-tip stress intensification is weaker and the strain-rate intensification is stronger than for a power-law creeping material.


1972 ◽  
Vol 1 (4) ◽  
pp. 227-228
Author(s):  
J.G. Lenard

Secondary creep behavior of a rotating hollow disk of uniform thickness is considered. The hyperbolic sine creep law is used to relate stress and creep strain rate; the applicability of Tresca’s criterion and associated flow rule is assumed. The creep strain rates so obtained are compared to results, given by the exponential and linear creep laws. Recommended limits of applicability of the linear and exponential laws are established.


1978 ◽  
Vol 45 (3) ◽  
pp. 679-681
Author(s):  
E. A. Davis

A new flow potential function or yield surface is presented. This function produces the hyperbolic sine law relating stress to minimum creep rate for creep tests in uniaxial tension.


2011 ◽  
Vol 117-119 ◽  
pp. 1018-1021
Author(s):  
Horng Yu Wu ◽  
Pin Hou Sun ◽  
Feng Jun Zhu ◽  
Jing Hao Liao ◽  
Shang Chih Wang ◽  
...  

The flow behavior and associated structural changes of an Inconel 600 superalloy were analyzed by using hot compression tests in the temperature and strain rate ranges of 850–1200 °C and 0.001 to 10 s–1, respectively. The stress–strain curves exhibited the trend typical of materials in which deformation is recovery-controlled at high strain rates and low temperatures, while at low strain rates and high temperatures, the flow curves exhibited a softening typical of recrystallization phenomena. Constitutive analysis was carried out to investigate the hot deformation mechanism using the hyperbolic sine law.


2013 ◽  
Vol 49 (8) ◽  
pp. 1012 ◽  
Author(s):  
Hongxing XIAO ◽  
Chongsheng LONG ◽  
Le CHEN ◽  
Bo LIANG

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