Abstract
This article describes the Linear Matching Method for the evaluation of shakedown limits for bodies subjected to cyclic load and temperature and composed of an elastic-perfectly plastic material. The method provides a development of the Elastic Compensation and related methods that have been used as a practical design tool in industry for some time. Such methods may be developed into general upper bound methods that are capable of providing the minimum upper bound associated with a class of possible displacement fields as described, for example, by a finite element mesh. At the same time a sequence of lower bounds are generated that converge to the least upper bound. The ability to implement these methods within a standard commercial finite element code makes them particularly attractive for engineering applications.
The author wishes to acknowledge the support of the Engineering and Physical Sciences Research Council and British Energy Ltd during the development of the methods described in this article. A number of colleagues have contributed towards the work, particularly Keith Carter, Markus Engelhardt, Sebastien Hentz and Francesco Parinello who carried out the computational work for the solutions described here.
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Ponter, A.R.S. (2002). A Linear Matching Method for Shakedown Analysis. In: Weichert, D., Maier, G. (eds) Inelastic Behaviour of Structures under Variable Repeated Loads. International Centre for Mechanical Sciences, vol 432. Springer, Vienna. https://doi.org/10.1007/978-3-7091-2558-8_13
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DOI: https://doi.org/10.1007/978-3-7091-2558-8_13
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