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A new concept of plane stress analysis of notched flat bar in axial tension

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Abstract

This study is motivated by a consistent set of numerical and experimental observations, conducted by the authors themselves and also reported in various papers on the Poisson’s ratio which is involved in the plane elasticity analysis. The set of field equations of the plane elasticity theory may be reduced to only three material constant free equations sufficient for determining the full-field individual components which meet the necessary plane stress conditions. Thus, the way is open for a direct determination of states of stress in plate-like structure elements of irregular shape that may be both simply and multiply connected. In order to show the efficiency of this new concept of plane stress analysis, a tensile strip with symmetrical U-shaped grooves is investigated. By verifying the accuracy and reliability of results obtained, a good agreement was found in comparison with those of the reference work.

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Acknowledgments

This work was supported by: Ministère de l’Enseignement Supérieur et de la Recherche Scientifique, Algeria, under Grant Agreement No. J0301920130020. We would like to thank Adrian Tawanda Mhondiwa for the English improvement of this paper.

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Authors and Affiliations

  1. LCGE-Laboratory, USTO-Mohamed Boudiaf University of Oran, Bir El Djir, Algeria

    D. Rezini & T. Baki

  2. LRTTFC-Laboratory, USTO-Mohamed Boudiaf University of Oran, Bir El Djir, Algeria

    Y. Rahmani

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  1. D. Rezini
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  2. T. Baki
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Correspondence to D. Rezini.

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Rezini, D., Baki, T. & Rahmani, Y. A new concept of plane stress analysis of notched flat bar in axial tension. Arch Appl Mech 86, 1483–1494 (2016). https://doi.org/10.1007/s00419-016-1130-z

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