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Structural Behavior Under Variable Loading

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Simplified Theory of Plastic Zones

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Abstract

The Simplified Theory of Plastic Zones (STPZ) to be developed in this book is mainly beneficial for the analysis of structures that are subjected to variable loads beyond the elastic limit, and therefore some phenomena of structural behavior are discussed in this chapter that are relevant to the service life of a structure, such as local and directional stress redistribution. Particular emphasis is placed on the phenomena of ratcheting and elastic and plastic shakedown. For this, the role of kinematic hardening is addressed. Some examples show that different causes may lead to the development of a ratcheting mechanism. After introducing the concept of residual stress, calculation methods are discussed which either result in load factors for the shakedown of a structure or provide the quantities required for a lifetime calculation according to design codes, such as strain ranges for fatigue analyses and cyclic accumulated distortions for ratcheting assessment.

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Notes

  1. 1.

    The term “time” is not used here in the sense of a physical quantity, but only as an ordering quantity for successive operations. In the literature it is sometimes referred to as “pseudo-time”. The term “histogram” is to be understood in the same sense.

  2. 2.

    Ansys Inc. says: “ Regarding defect #92325, this is not a defect but a limitation with the sublayer/overlay model according to development”.

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  1. Brandenburgische Technische Universität Cottbus-Senftenberg, Cottbus, Brandenburg, Germany

    Hartwig Hübel

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Hübel, H. (2017). Structural Behavior Under Variable Loading. In: Simplified Theory of Plastic Zones. Springer, Cham. https://doi.org/10.1007/978-3-319-29875-7_2

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  • DOI: https://doi.org/10.1007/978-3-319-29875-7_2

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-29873-3

  • Online ISBN: 978-3-319-29875-7

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