Abstract
The three-dimensional linearized theory of elastic waves in initially stressed bodies under plane strain is used to study the influence of the initial stretching of a simply supported plate strip with two neighboring circular holes on the stress concentration around the holes caused by additional uniformly distributed dynamic (time-harmonic) normal forces acting on the upper face. The corresponding problem is formulated and solved by the finite-element method. Numerical results on the stress concentration around the holes and the influence of the initial stretching on this concentration are presented
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
S. D. Akbarov, N. Yahniogiu, 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).
S. D. Akbarov and A. N. Guz, Mechanics of Curved Composites, Kluwer, Dordrecht, The Netherlands (2000).
M. A. Biot, Mechanics of Incremental Deformations, John Wiley, New York (1965).
R. M. Cristensen, Mechanics of Composite Materials, John Wiley, New York (1979).
A. N. Guz, Fundamentals of the Three-dimensional Theory of Stability of Deformable Bodies, Springer-Verlag, Berlin (1999).
A. N. Guz, Elastic Waves in Bodies with Initial (Residual) Stresses [in Russian], A.S.K., Kiev (2004).
T. H. Hyde, G. Notarangelo, C. Pappalettero, and W. Sun, “Stress concentration factors in square and circular cross-sectioned bars with axial slots,” J. Strain Analysis, 38, No. 3, 247–259 (2003).
A. S. Kosmodamianskii, “Accumulation of internal energy in multiply connected bodies,” Int. Appl. Mech., 38, No. 4, 399–422 (2002).
V. S. Kirilyuk, “The stress state of an elastic orthotropic medium with an ellipsoidal cavity,” Int. Appl. Mech., 41, No. 3, 302–308 (2005).
C. M. 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. Maksimyuk, V. P. Mulyar, and I. S. Chernyshenko, “Stress state of thin spherical shells with an off-center elliptic hole,” Int. Appl. Mech., 39, No. 5, 595–598 (2003).
G. N. Savin, Stress Concentration around Holes, Pergamon, Oxford (1951).
G. N. Savin, Stress Distribution around Holes [in Russian], Naukova Dumka, Kiev (1968).
E. A. Storozhuk and I. S. Chernyshenko, “Elastoplastic deformation of flexible cylindrical shells with two circular holes nder axial tension,” Int. Appl. Mech., 41, No. 5, 506–511 (2005).
E. A. Storozhuk and I. S. Chernyshenko, “Physically and geometrically nonlinear deformation of spherical shells with an elliptic hole,” Int. Appl. Mech., 41, No. 6, 666–674 (2005).
E. A. Storozhuk and I. S. Chernyshenko, “Stress distribution in physically and geometrically nonlinear thin cylindrical shells with two holes,” Int. Appl. Mech., 41, No. 11, 1280–1287 (2005).
Author information
Authors and Affiliations
Additional information
Published in Prikladnaya Mekhanika, Vol. 43, No. 10, pp. 135–140, October 2007.
Rights and permissions
About this article
Cite this article
Yahnioglu, N. On the stress distribution in a prestretched simply supported strip containing two neighboring circular holes under forced vibration. Int Appl Mech 43, 1179–1183 (2007). https://doi.org/10.1007/s10778-007-0119-2
Received:
Issue Date:
DOI: https://doi.org/10.1007/s10778-007-0119-2