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Inelastic Behavior of Materials and Structures Under Monotonic and Cyclic Loading pp 185–205Cite as

Hysteresis Loop Analysis in Cyclically Strained Materials

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Part of the book series: Advanced Structured Materials ((STRUCTMAT,volume 57))

Abstract

The generalized statistical theory of the hysteresis loop is adopted to describe the stress-strain relations, preferably in cyclic straining. The effective stress and the distribution of the internal critical stresses in cyclic straining are evaluated in two materials cycled at room and at elevated temperatures using the analysis of the hysteresis loop shape. The evolution of the shape of the probability density function of the internal critical stresses yields deeper insight into the mechanisms of cyclic plastic straining. It indicates the important role of cyclic plastic strain localization in room temperature fatigue softening. The approximation of the probability density function by Weibull distribution leads to the assessment of the effective and internal stresses and allows the simulation of the relations between the stress and strain in case of different cyclic histories.

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Acknowledgments

This work was realized in CEITEC - Central European Institute of Technology with research infrastructure supported by the project CZ.1.05/1.1.00/02.0068 financed from European Regional Development Fund. The support by the project RVO: 68081723 and grant no. 13-23652S of GACR is gratefully acknowledged.

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Authors and Affiliations

  1. Institute of Physics of Materials, Academy of Sciences of the Czech Republic, Žižkova 22, 616 62, Brno, Czech Republic

    Jaroslav Polák & Roman Petráš

  2. CEITEC, Institute of Physics of Materials Academy of Sciences of the Czech Republic, Žižkova 22, Brno, Czech Republic

    Jaroslav Polák

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  1. Jaroslav Polák
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  2. Roman Petráš
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Correspondence to Jaroslav Polák .

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Editors and Affiliations

  1. Fakultät für Maschinenbau Otto-von-Guericke-Univ. Magdeburg, Institut für Mechanik, Magdeburg, Germany

    Holm Altenbach

  2. Fakultät für Bauingenieurwesen und Umweltwissenschaften, Institut für Mechanik und Statik Universität der Bundeswehr München, Neubiberg, Germany

    Michael Brünig

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Polák, J., Petráš, R. (2015). Hysteresis Loop Analysis in Cyclically Strained Materials. In: Altenbach, H., Brünig, M. (eds) Inelastic Behavior of Materials and Structures Under Monotonic and Cyclic Loading. Advanced Structured Materials, vol 57. Springer, Cham. https://doi.org/10.1007/978-3-319-14660-7_10

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  • DOI: https://doi.org/10.1007/978-3-319-14660-7_10

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-14659-1

  • Online ISBN: 978-3-319-14660-7

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