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Three Dimensional Parametric Analyses of Stress Concentration Factor and Its Mitigation in Isotropic and Orthotropic Plate with Central Circular Hole Under Axial In-Plane Loading

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Abstract

The problem of finding the stress concentration factor of a loaded rectangular plate has offered considerably analytical difficulty. The present work focused on understanding of behavior of isotropic and orthotropic plate subjected to static in-plane loading using finite element method. The complete plate model configuration has been analyzed using finite element method based software ANSYS. In the present work two parameters: thickness to width of plate (T/A) and diameter of hole to width of plate (D/A) have been varied for analysis of stress concentration factor (SCF) and its mitigation. Plates of five different materials have been considered for complete analysis to find out the sensitivity of stress concentration factor. The D/A ratio varied from 0.1 to 0.7 for analysis of SCF and varied from 0.1 to 0.5 for analyzing the mitigation of SCF. 0.01, 0.05 and 0.1 are considered as T/A ratio for all the cases. The results are presented in graphical form and discussed. The mitigation in SCF reported is very encouraging. The SCF is more sensitive to D/A ratio as compared to T/A.

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Abbreviations

A:

Width of plate

D:

Diameter of hole

Ei :

Modulus of elasticity in i direction

Gij :

Modulus of rigidity in ij plane

SCF:

Stress concentration factor = σmax/σnominal

SCF)1 :

Stress concentration factor in modified model

T:

Thickness of plate

σ:

Uniformly distributed load, N

R1:

Radius of auxiliary holes

νxy :

Poisson’s ratio in xy plane

σx :

Normal stress in x direction

σeqv :

Von misses stress equivalent stress

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Acknowledgments

The authors are thankful to Bhilai Institute of Technology, Durg and National Institute of Technology, Raipur, for the support in carrying out the present work in the Institutes.

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Authors and Affiliations

  1. Bhilai Institute of Technology, Durg, Chhattisgarh, 491001, India

    Shubhrata Nagpal

  2. National Institute of Technology, Raipur, Chhattisgarh, 492010, India

    Nitin Kumar Jain & Shubhashis Sanyal

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  1. Shubhrata Nagpal
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  2. Nitin Kumar Jain
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  3. Shubhashis Sanyal
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Correspondence to Shubhrata Nagpal.

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Nagpal, S., Jain, N.K. & Sanyal, S. Three Dimensional Parametric Analyses of Stress Concentration Factor and Its Mitigation in Isotropic and Orthotropic Plate with Central Circular Hole Under Axial In-Plane Loading. J. Inst. Eng. India Ser. C 97, 85–92 (2016). https://doi.org/10.1007/s40032-015-0197-6

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