The present paper extends previous methods of bounding the rate of energy dissipation in a body deforming under secondary creep according to a power law . By an appropriate definition of the ‘representative stress’, bounds for a material with an arbitrary value of n are expressed in terms of a postulated known solution to the identical stress loading problem for a material with a different value of n. The results are applied first to idealized materials where n is a constant, and then extended to a class of non-idealized materials where n is a monotonic increasing function of stress.
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References
1.
CalladineC. R.DruckerD. C.‘Nesting surfaces of constant rate of energy dissipation in creep’, Quart. appl. Math.196220 (April), 79.
2.
CalladineC. R.DruckerD. C.‘A bound method for creep analysis of structures: Direct use of solutions in elasticity and plasticity’, J. mech. Engng Sci.19624 (No. 1), 1.
3.
AndersonR. G.GardnerL. R. T.HodgkinsW. R.‘Deformation of uniformly loaded beams obeying complex creep laws’, J. mech. Engng Sci.19635 (No. 3), 238.
4.
GittusJ. H.‘A statistical theory of steady state creep and its application to type 316 steel, zinc, magnox Al80 and nickel’, J. mech. Phys. Solids1965 (March-April).