Studying of Influence of the Material Anisotropy on the Limit State of an Orthotropic Plate Weakened by a Periodic System of Collinear Cracks Under Biaxial Loading

  • Olga BogdanovaEmail author
Conference paper
Part of the Structural Integrity book series (STIN, volume 8)


On the basis of a modified Dugdale model, we investigate the influence of the anisotropy of the material, in particular, differences between the ultimate tensile strength and ultimate compressive strength, on the limit state of an orthotropic plate weakened by a periodic system of periodic collinear cracks under biaxial external loading. As a strength criterion, the Hoffman strength criterion is considered. Strength diagrams of an orthotropic plate with a crack for different strength and crack resistance parameters are obtained.


Periodic system of collinear cracks Critical loading Biaxial loading Orthotropic materials Hoffman strength criterion 


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    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)CrossRefGoogle Scholar
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    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)Google Scholar

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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.S. P. Timoshenko Institute of Mechanics of National Academy of Sciences of UkraineKievUkraine

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