Abstract
This lecture is devoted to the determination of the regularity of the solutions of the shakedown variational problems and to the underlying topology of the solution spaces. It is showed that the kinematical solutions are not functions but bounded measures. A particular attention is paid to the problem of the thick wall tube subjected to an internal variable repeated pressure. It is shown how, when the load factor tends to α a by upper values, the plastic strain rate in the tube converges to Dirac’s measure.
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de Saxcé, G. (2002). Nature of the Solutions. 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_3
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DOI: https://doi.org/10.1007/978-3-7091-2558-8_3
Publisher Name: Springer, Vienna
Print ISBN: 978-3-211-83687-3
Online ISBN: 978-3-7091-2558-8
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