In this work, the influence of initial stretching of a simply supported plate-strip containing two circular holes on the stress concentration around the holes caused by bending of the strip is examined using the finite-element method. The mathematical formulation of the corresponding boundary-value problem is presented within the frame work of the three-dimensional linearized theory of elasticity (TDLTE) under a plane strain state. The material of the plate-strip is linearly elastic, homogeneous, and orthotropic. The numerical results obtained in investigating the influence of the initial stretching and the location of holes on the stress concentration are presented. In particular, it is established that the initial stretching significantly decreases the stress concentration at some characteristic points on the contour of the holes.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
G. N. Savin, Stress Concentration Around Holes, Pergamon, Oxford (1951).
A. S. Kosmodamianskii, “Accumulation of internal energy in multiply connected bodies,” Int. Appl. Mech. 38, No. 4, 399–422 (2002).
G. H. Lei, W. W. Ng. Cherles, and D. B. Rigby, “Stress and displacement around an elastic artificial rectangular hole,” J. Eng. Mech., 127, No. 9, 880–890 (2001).
V. A. Shaldyrvan, “Some results and problems in the three-dimensional theory of plates,” Int. Appl. Mech., 43, No. 2, 160–181 (2007).
M. P. Savruk and A. Kazberuk, “A unified approach to problems of stress concentration near V-shaped notches with sharp and rounded tip,” Int. Appl. Mech., 43, No. 2, 182–197 (2007).
I. S. Chernyshenko, E. A. Storozhuk, and S. B. Kharenko, “Physically and geometrically nonlinear deformation of thin-walled conical shells with a curvilinear hole,” Int. Appl. Mech., 43, No. 4, 418–424 (2007).
I. S. Chernyshenko, E. A. Storozhuk, and F. D. Kadyrov, “Inelastic deformation of flexible cylindrical shells with an elliptic hole,” Int. Appl. Mech., 43, No. 5, 512–518 (2007).
M. A. Biot, Mechanics of Incremental Deformations, John Wiley, New York (1965).
A. N. Guz, Fundamentals of the Three-Dimensional Theory of Stability of Deformable Bodies, Springer-Verlag, Berlin, Germany (1999).
S. D. Akbarov, N. Yahnioglu, and A. M. Yucel, “On the influence of the initial tension of a strip with a rectangular hole on the stress concentration caused by additional loading,” J. Strain Analysis, 39, No. 6, 615–624 (2005).
A. N. Guz, Mechanics of Brittle Fructure of Materials with Initial Stresses [in Rus sian], Naukova Dumka, Kiev (1983).
O. C. Zienkiewicz and R. L. Taylor, The Finite Element Methods: Basic Formulation and Linear Problems. Vol. 1, McGraw-Hill Book Co., Oxford (1989).
S. D. Akbarov and A. N. Guz, Mechanics of Curved Composites, Kluwer, Dordrecht, The Netherlands (2000).
Author information
Authors and Affiliations
Additional information
Russian translation published in Mekhanika Kompozitnykh Materialov, Vol. 44, No. 6, pp. 827–838, November–December, 2008.
Rights and permissions
About this article
Cite this article
Akbarov, S.D., Yahnioglu, N. & Babuscu Yesil, U. Interaction between two neighboring circular holes in a prestretched simply supported orthotropic strip under bending. Mech Compos Mater 44, 581–590 (2008). https://doi.org/10.1007/s11029-009-9054-0
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11029-009-9054-0