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Safe Loading of the Orthotropic Plate with Periodic System of Collinear Cracks

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Proceedings of the Third International Conference on Theoretical, Applied and Experimental Mechanics (ICTAEM 2020)

Part of the book series: Structural Integrity ((STIN,volume 16))

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Abstract

On the basis of a modified \( \delta_{c} \)-model of crack, the safe loading of an orthotropic plate with periodic system of collinear cracks is studied. The plate material is satisfying the strength condition in general form. The relations for the determination of major parameters of the crack model (the size of process zones, stresses in these zones, and the crack-tip opening displacements) are deduced. The mechanism of fracture of the plate containing a periodic system of collinear cracks is investigated. The influence of the degree of anisotropy and geometric parameters of the problem on the formation of the process zones and limiting state of the elastic orthotropic plate is revealed. The region of safe loading of an orthotropic viscoelastic plate with cracks is determined. The influence of the rheological parameters of the material on the region of safe loading is analyzed.

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References

  1. Kaminsky, A.A., Bogdanova, O.S., Bastun, V.N.: On modeling cracks in orthotropic plates under biaxial loading: synthesis and summary. Fatigue Fract. Eng. Mater. Struct. 5(34), 345–355 (2011)

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  2. Bogdanova, O.S.: Limiting state of an elastoplastic orthotropic plate with a periodic system of collinear cracks. Int. Appl. Mech 5(43), 539–546 (2008)

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  3. Kaminsky, A.A.: Fracture mechanics of viscoelastic bodies with cracks. Nauk. Dumka, Kyiv (1990)

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Authors and Affiliations

  1. S.P.Timoshenko Institute of Mechanics of National Academy of Sciences of Ukraine, Nesterov Str, 3, 02053, Kyiiv, Ukraine

    Olga Bogdanova

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  1. Olga Bogdanova
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Correspondence to Olga Bogdanova .

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Editors and Affiliations

  1. Office of Theoretical and Applied Mechanics, Academy of Athens, Athens, Greece

    Emmanuel Gdoutos

  2. Civil Engineering Department, The University of Texas at Arlington, Arlington, TX, USA

    Maria Konsta-Gdoutos

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Bogdanova, O. (2020). Safe Loading of the Orthotropic Plate with Periodic System of Collinear Cracks. In: Gdoutos, E., Konsta-Gdoutos, M. (eds) Proceedings of the Third International Conference on Theoretical, Applied and Experimental Mechanics. ICTAEM 2020. Structural Integrity, vol 16. Springer, Cham. https://doi.org/10.1007/978-3-030-47883-4_43

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  • DOI: https://doi.org/10.1007/978-3-030-47883-4_43

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-47882-7

  • Online ISBN: 978-3-030-47883-4

  • eBook Packages: EngineeringEngineering (R0)

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