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Stress Compensation Method for Shakedown Analysis and Its Engineering Applications

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Direct Methods

Part of the book series: Lecture Notes in Applied and Computational Mechanics ((LNACM,volume 95))

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Abstract

This paper introduces a recently proposed direct method, the so-called stress compensation method (SCM), for shakedown analysis of engineering structures under variable repeated mechanical and thermal loads. Instead of establishing the mathematical programming formulation, the SCM performs a two-level iterative procedure based on a series of linear finite element (FE) solutions. By adding an extra stress (named the compensation stress) to the yield regions which may occur at every load vertex of the given loading domain to adjust the total stress to the yield surface and re-solving the equilibrium equations, the residual stress field for static shakedown analysis is constructed. An effective and robust iteration control scheme is presented to check the change of the compensation stress in the inner loop and to update the shakedown load multiplier in the outer loop. The numerical scheme of this method is successfully implemented into the Abaqus platform, which makes it become a general utility tool for shakedown analysis of complex structures. Numerous examples related to pressure vessel and power plant engineering are presented to illustrate the performance of the method for shakedown analysis of large-scale engineering structures under multi-dimensional loading domain.

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Acknowledgements

The authors gratefully acknowledge the support of the National Science Foundation for Distinguished Young Scholars of China (Grant No. 11325211) and the National Natural Science Foundation of China (Grant No. 11672147).

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Authors and Affiliations

  1. Department of Engineering Mechanics, AML, Tsinghua University, Beijing, 100084, China

    Heng Peng & Yinghua Liu

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

    Haofeng Chen

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  1. Heng Peng
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  2. Yinghua Liu
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Correspondence to Yinghua Liu .

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Editors and Affiliations

  1. PAU, University Mediterranea of Reggio Calabria, Reggio Calabria, Italy

    Aurora Angela Pisano

  2. Institute of Structural Analysis & Antiseismic Research, National Technical University of Athens, Athens, Greece

    Konstantinos Vassilios Spiliopoulos

  3. IAM, RWTH Aachen University, Aachen, Germany

    Dieter Weichert

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Peng, H., Liu, Y., Chen, H. (2021). Stress Compensation Method for Shakedown Analysis and Its Engineering Applications. In: Pisano, A., Spiliopoulos, K., Weichert, D. (eds) Direct Methods. Lecture Notes in Applied and Computational Mechanics, vol 95. Springer, Cham. https://doi.org/10.1007/978-3-030-48834-5_8

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  • DOI: https://doi.org/10.1007/978-3-030-48834-5_8

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  • Online ISBN: 978-3-030-48834-5

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