Abstract
In this paper, a novel modified strip yield model is proposed to evaluate the load-bearing capacity of an infinite isotropic plate containing five collinear straight cracks with coalesced yield zones. It is assumed that these yield zones are subjected to a linearly varying yield stress. The well-known complex variable method is used. To assess the results, numerical studies are carried out for different cracks lengths. Good agreement of the results obtained is observed with previously published data.
REFERENCES
G. E. Blandford, A. R. Ingraffea, and J. A. Liggett, “Two-Dimensional Stress Intensity Factor Computations using the Boundary Element Method," Int. J. Numer. Methods Eng. 17 (3), 387–404 (1981).
D. S. Dugdale, “Yielding of Steel Sheets Containing Slits," J. Mech. Phys. Solids 8 (2), 100–104 (1960).
M. Kanninen, “A Solution for a Dugdale Crack Subjected to a Linearly Varying Tensile Loading," Int. J. Eng. Sci. 8 (1), 85–95 (1970).
L. P. Harrop, “Application of a Modified Dugdale Model to the k vs cod Relation," Eng. Fracture Mech. 10 (4), 807–816 (1978).
P. S. Theocaris, “Dugdale Models for Two Collinear Unequal Cracks," Eng. Fracture Mech. 18 (3), 545–559 (1983).
R. A. Collins and D. J. Cartwright, “An Analytical Solution for Two Equal-Length Collinear Strip Yield Cracks," Eng. Fracture Mech. 68 (7), 915–924 (2001).
S. Hasan and N. Akhtar, “Dugdale Model for Three Equal Collinear Straight Cracks: An Analytical Approach," Theor. Appl. Fracture Mech. 78, 40–50 (2015).
S. Hasan and N. Akhtar, “Mathematical Model for Three Equal Collinear Straight Cracks: A Modified Dugdale Approach," Strength, Fracture Complexity 9 (3), 211–232 (2015).
R. Elangovan, T. S. Ramamurthy, B. Dattaguru, and V. Selladurai, “Analytical Determination of Residual Strength and Linkup Strength for Flat Panels with Multiple Site Damage," Arab. J. Sci. Eng. 39 (3), 2271–2276 (2014).
Z. Xu and W. Xie, “A Modified Residual Strength Prediction Method for Aluminum Alloy Plates with MSD," Mech. Res. Comm. 109, 1–5 (2020).
N. Akhtar and S. Hasan, “Assessment of the Interaction between Three Collinear Unequal Straight Cracks with Unified Yield Zones," AIMS Mater. Sci. 4 (2), 302–316 (2017).
T. Nishimura, “Strip Yield Analysis on Coalescence of Plastic Zones for Multiple Cracks in a Riveted Stiffened Sheet," J. Eng. Mater. Technol. 121 (3), 352–359 (1999).
E. E. Gdoutos, Fracture Mechanics: An Introduction (Springer, Dordrecht, 2005).
H. Tada, P. C. Paris, and G. R. Erwin, The Stress Analysis of Cracks Handbook (ASME Press, New York, 2000).
X.-Q. Feng and D. Gross, “On the Coalescence of Collinear Cracks in Quasi-Brittle Materials," Eng. Fracture Mech. 65 (5), 511–524 (2000).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2023, Vol. 64, No. 1, pp. 138-151. https://doi.org/10.15372/PMTF20230113.
Rights and permissions
About this article
Cite this article
Akhtar, N., Hasan, S. & Shekhar, S. SOLUTION OF A MULTIPLE CRACK PROBLEM UNDER THE INFLUENCE OF A LINEAR STRESS DISTRIBUTION AND COALESCED YIELD ZONES. J Appl Mech Tech Phy 64, 118–130 (2023). https://doi.org/10.1134/S0021894423010133
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0021894423010133