R (cross section ratio): Difference between revisions

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{{Duplication}}
 
The '''Larson-Miller parameter''' is a means of predicting the lifetime of material vs. time and temperature using a correlative approach based on the [[Arrhenius equation|Arrhenius rate equation]]. The value of the parameter is usually expressed as ''LMP''=''T''(''C'' + log ''t'') where ''C'' is a material specific constant often approximated as 20, ''t'' is the time in hours and ''T'' is the temperature in Kelvin.
 
[[Creep (deformation)|Creep]]-stress rupture data for high-temperature creep-resistant alloys are often plotted as log stress to rupture versus
a combination of log time to rupture and temperature. One of the most common time–temperature parameters used to present this kind of data is the Larson-Miller (L.M.) parameter, which in generalized form is
 
<math>P(L.M.) = T[\log t_r + C]</math>
 
''T'' = temperature, K or °R <br>
<math> t_r </math> = stress-rupture time, h <br>
''C'' = constant usually of order 20
 
According to the L.M. parameter, at a given stress level the log time to stress rupture plus a constant of the order of 20 multiplied by the temperature in kelvins or degrees Rankine remains constant for a given material.
 
==References==
* F.R. Larson & J. Miller, ''Transactions ASME'', Vol. '''74''', p 765-771, 1952.
* G. E. Fuchs, High Temperature Alloys, ''Kirk-Othmer Encyclopedia of Chemical Technology''
* Smith & Hashemi, ''Foundations of Material Science and Engineering''
* G.E. Dieter, ''Mechanical Metallurgy, Third Edition'', McGraw-Hill Inc., 1986, p 461-465, ISBN 0-07-016893-8.
 
==See also==
* [[Larson-Miller relation]]
* [[Creep (deformation)]]
 
[[Category:Materials science]]

Latest revision as of 14:09, 11 January 2014

Template:Duplication

The Larson-Miller parameter is a means of predicting the lifetime of material vs. time and temperature using a correlative approach based on the Arrhenius rate equation. The value of the parameter is usually expressed as LMP=T(C + log t) where C is a material specific constant often approximated as 20, t is the time in hours and T is the temperature in Kelvin.

Creep-stress rupture data for high-temperature creep-resistant alloys are often plotted as log stress to rupture versus a combination of log time to rupture and temperature. One of the most common time–temperature parameters used to present this kind of data is the Larson-Miller (L.M.) parameter, which in generalized form is

P(L.M.)=T[log⁡tr+C]

T = temperature, K or °R
tr = stress-rupture time, h
C = constant usually of order 20

According to the L.M. parameter, at a given stress level the log time to stress rupture plus a constant of the order of 20 multiplied by the temperature in kelvins or degrees Rankine remains constant for a given material.

References

  • F.R. Larson & J. Miller, Transactions ASME, Vol. 74, p 765-771, 1952.
  • G. E. Fuchs, High Temperature Alloys, Kirk-Othmer Encyclopedia of Chemical Technology
  • Smith & Hashemi, Foundations of Material Science and Engineering
  • G.E. Dieter, Mechanical Metallurgy, Third Edition, McGraw-Hill Inc., 1986, p 461-465, ISBN 0-07-016893-8.

See also

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