Please use this identifier to cite or link to this item:
|Title:||A minimum theorem for cyclic load in excess of shakedown, with applications to the evaluation of a ratchet limit|
|Authors:||Ponter, A. R. S.|
Chen, H. F.
|Citation:||European Journal of Mechanics A/Solids, 2001, 20, (4), pp.539-554|
|Abstract:||Although the shakedown theorems for perfect plasticity have been known since Koiter's 1960 review paper, extensions of the theory to situations where ratchetting or reverse plasticity occurs in excess of shakedown have not appeared in the literature. In this paper a generalisation of the upper bound theorem is derived which reduces to the upper bound shakedown theorem in the limiting case when the load point approaches the shakedown boundary. The new theory is used to develop a method for identifying the ratchet limit for a class of loading histories through the sequential minimisation of two functionals. A programming method, based on the Elastic Compensation method for shakedown is then derived and convergence proven. Numerical examples of the application of the method to practical problems are discussed by us in an accompanying paper.|
|Appears in Collections:||Published Articles, Dept. of Engineering|
Files in This Item:
There are no files associated with this item.
Items in LRA are protected by copyright, with all rights reserved, unless otherwise indicated.