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Recent Development and Application of the Linear Matching Method for Design Limits in Plasticity and Creep: An Overview

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Direct Methods for Limit States in Structures and Materials

Abstract

Engineering design and integrity assessment of components under the action of cyclic thermal and mechanical loading require the assessment of load histories for which certain types of material failure do not occur. This involves the determination of the shakedown limit, ratchet limits, plastic strain range concerning fatigue crack initiation in a low cycle fatigue assessment, and creep fatigue interaction.

In this paper a state-of-the-art direct method, the Linear Matching Method (LMM), is summarized for the evaluation of these design limits in both plasticity and creep. These have been solved by characterizing the steady cyclic state using a general cyclic minimum theorem. For a prescribed class of kinematically admissible inelastic strain rate histories, the minimum of the functional for these design limits are found by either global minimization process or dual minimization process. The applications of the LMM to three practical problems are outlined to confirm the efficiency and effectiveness of the method and demonstrate that Direct Methods may be applied to a much wider range of circumstances than have hitherto been possible.

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Acknowledgements

The author gratefully acknowledges the support of the Engineering and Physical Sciences Research Council (EP/G038880/1) of the United Kingdom, and the University of Strathclyde during the course of this work. The author would also like to thank Prof Alan Ponter of the Department of Engineering, Leicester University, for his advice and discussion on the theoretical development of the LMM.

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Authors and Affiliations

  1. Department of Mechanical and Aerospace Engineering, University of Strathclyde, Glasgow, G1 1XJ, UK

    Haofeng Chen & Weihang Chen

Authors
  1. Haofeng Chen
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  2. Weihang Chen
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Correspondence to Haofeng Chen .

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Editors and Affiliations

  1. Department of Structural Engineering, National Technical University of Athens School of Civil Engineering, Athens, Greece

    Konstantinos Spiliopoulos

  2. Institute of General Mechanics, RWTH-Aachen University, Aachen, Germany

    Dieter Weichert

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Chen, H., Chen, W. (2014). Recent Development and Application of the Linear Matching Method for Design Limits in Plasticity and Creep: An Overview. In: Spiliopoulos, K., Weichert, D. (eds) Direct Methods for Limit States in Structures and Materials. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-6827-7_13

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  • DOI: https://doi.org/10.1007/978-94-007-6827-7_13

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-007-6826-0

  • Online ISBN: 978-94-007-6827-7

  • eBook Packages: EngineeringEngineering (R0)

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