The extraction of a reference stress for a given structure from an arbitrary two-parameter creep law is demonstrated. The technique is applied to a two-bar structure and a beam section subjected to pure bending. The material is assumed to follow creep laws of the form and .
Resulting errors in deformation rate are compared for the different creep laws and with results obtained from a Norton law.
Get full access to this article
View all access options for this article.
References
1.
SöderbergR.‘Interpretation of creep tests on tubes’, Trans. A.S.M.E.194163, 737–740.
2.
AndersonR. G.GardnerL. R. T.HodgkinsW. R.‘Deformation of uniformly loaded beam obeying complex creep laws’, J. mech. Engng Sci.19635, 238–244.
3.
MackenzieA. C.‘On the use of a single uniaxial test to estimate deformation rate in some structures undergoing creep’, Int. J. mech. Sci.196810, 441–453.
4.
SimR. G.‘Evaluation of reference parameters for structures subjected to creep’, J. mech. Engng Sci.197113, 47–50.
5.
JohnssonA.‘An alternative definition of reference stress for creep’, presented at I.M.E.-A.S.T.M.-A.S.M.E. Int. Conf. (Philadelphia 1973): creep and fatigue in elevated temperature applications.
6.
MarriottD. L.‘Reference stress methods for estimating creep’, presented at I.M.E.-A.S.T.M.-A.S.M.E. Int. Conf. (Gothenburg 1970) 1972 (Springer, Berlin).
7.
FairbairnJ.‘A reference stress approach to creep bending of straight tubes’, J. mech. Engng Sci.197416, 125–138.
8.
PennyR. K.MarriottD. L.Design for creep1969 (McGraw-Hill, London).
9.
RimrottF. P. J.Mechanics of the solid state (Edited by RimrottF. P. J.SchwaighoferJ.) 1968, 168–180 (Univ. Toronto Press, Canada).
10.
HultJ.‘On the stationarity of stress and strain distributions in creep’, Proc. I.U.T.A.M. Symp. (Haifa 1962): second-order effects in elasticity, plasticity and fluid dynamics, (Edited by M. Reiner and D. Abir) 1964, 352–361 (Macmillan, New York).
11.
RabotnovY. N.Creep problems in structural members1969 (North-Holland Pub. Co., Amsterdam).
12.
MarriottD. L.LeckieF. A.‘Some observations on the deflection of structures during creep’, Thermal loading and creep in structures and components, Proc. Instn mech. Engrs1964178 (Part 3L).
and 
.