Access the full text.
Sign up today, get DeepDyve free for 14 days.
Loading next page...
/lp/springer-journals/analytical-solutions-to-stress-concentration-problem-in-plates-ea4C4uqLrd
References (20)
-
Y. Yang
Yang, Y., Cai, C.W. and Liu, J.K., Exact analytical solutions to stress concentration problem in plates with a rectangular hole. Journal of Engineering Mechanics, (paper submitted). -
Cai Chengwu (1986)
On Analytical Solution of Rotationally Periodic Structures, 25
-
G. Savin (1961)
Stress concentration around holes -
C. Cai, J. Liu, H. Chan (2002)
Exact analysis of bi-periodic structures -
W. Pilkey (2020)
Peterson's Stress Concentration Factors -
J. Liu, Yang Yang, C. Cai (2006)
Convergence studies on static and dynamic analyses of plates by using the U-transformation and the finite difference methodJournal of Sound and Vibration, 289
-
H. Chan, C. Cai, Y. Cheung (2000)
Forced Vibration Analysis for Damped Periodic Systems With One Nonlinear DisorderJournal of Applied Mechanics, 67
-
O. Zienkiewicz, R. Taylor, J. Zhu, Elsevier Bl, Ttfrworth Hhintalann (1977)
The finite element method -
RG Budynas (2002)
Roark’s Formulas for Stress and Strain -
SR Heller (1969)
Stress concentration factors for a rectangular opening with rounded corners in a bidirectional loaded plateJournal of Ship Research, 13
-
Y. Cheung, H. Chan, C. Cai (1989)
Exact Method for Static Analysis of Periodic StructuresJournal of Engineering Mechanics-asce, 115
-
H. Chan, C. Cai, J. Liu (2000)
Exact Static Solution of Grillwork with Periodic SupportsJournal of Engineering Mechanics-asce, 126
-
H. Chan, C. Cai, Y. Cheung (1998)
Exact Analysis of Structures With Periodicity Using U-Transformation -
J. Altenbach (1980)
Zienkiewicz, O. C., The Finite Element Method. 3. Edition. London. McGraw‐Hill Book Company (UK) Limited. 1977. XV, 787 S.Zamm-zeitschrift Fur Angewandte Mathematik Und Mechanik, 60
-
RE Peterson (1959)
Notch Sensitivity in Metal Fatigue -
S.R. Heller (1958)
Proceedings of the Third US National Congress of Applied MechanicsProceedings of the Third US National Congress of Applied Mechanics
-
H. Chan, C. Cai, Y. Cheung (1989)
Moments and Deflections of Simply Supported Rectangular Grids — An Exact MethodInternational Journal of Space Structures, 4
-
Y. Yang, Jike Liu, P. Huang (2007)
Exact convergence studies on static and dynamic analyses of plates by using the double U-transformation and the finite-element methodJournal of Sound and Vibration, 305
-
C. Cai, J. Liu, Yang Yang (2005)
Exact analysis of localized modes in two-dimensional bi-periodic mass-spring systems with a single disorderJournal of Sound and Vibration, 288
-
(1958)
The Stresses around a Rectangular Opening with rounded corners in a Uniformly Loaded Plate
- Publisher
- Springer Journals
- Copyright
- 2008 The Chinese Society of Theoretical and Applied Mechanics and Technology
- ISSN
- 0894-9166
- eISSN
- 1860-2134
- DOI
- 10.1007/s10338-008-0850-1
- Publisher site
- See Article on Publisher Site
Abstract
Abstract The stress concentration problem in structures with a circular or elliptic hole can be investigated by analytical methods. For the problem with a rectangular hole, only approximate results are derived. This paper deduces the analytical solutions to the stress concentration problem in plates with a rectangular hole under biaxial tensions. By using the U-transformation technique and the finite element method, the analytical displacement solutions of the finite element equations are derived in the series form. Therefore, the stress concentration can then be discussed easily and conveniently. For plate problem the bilinear rectangular element with four nodes is taken as an example to demonstrate the applicability of the proposed method. The stress concentration factors for various ratios of height to width of the hole are obtained.
Journal
"Acta Mechanica Solida Sinica" – Springer Journals
Published: Oct 1, 2008
Keywords: Theoretical and Applied Mechanics; Surfaces and Interfaces, Thin Films; Classical Mechanics