The effect of couple stresses on stress distribution in a thin plate due to the pressure of a rivet on one side of a circular hole

1969 ◽  
Vol 19 (1) ◽  
pp. 53-58 ◽  
Author(s):  
Rathindra Nath Das
Author(s):  
Cheng Zhang ◽  
Jian-run Zhang ◽  
Xi Lu

The weak dynamic stiffness of thin plate is one of the important factors that limit the use of thin plate. Improving the dynamic stiffness of thin plate is one of the effective methods for the vibration control of thin plate. In this paper, the influence of pre-stress on the vibration characteristics of thin plate is studied. A vibration control method of thin plate based on pre-stress is proposed. The vibration differential equation of quadrate thin plate under pre-stressing is established. Using the Galerkin principle, the natural frequencies corresponding to the shape functions of the quadrate thin plates under pre-stressing in different distribution forms are obtained. By comparison, it is found that pre-stressing on the thin plate can change the dynamic stiffness of thin plate. In particular, tensile stress can increase the dynamic stiffness of thin plate while compressive stress can reduce the dynamic stiffness of the thin plate. The greater the pre-stress, the more obvious the effect. In the end, the requirements of the pre-stress distribution which can improve the dynamic stiffness of thin plate effectively are derived.


1996 ◽  
Vol 5 (4) ◽  
pp. 096369359600500
Author(s):  
C. Filiou ◽  
C. Soutis

A simple approximate solution has been derived for the stress distribution near a circular hole applicable to any orthotropic composite laminate subjected to biaxial loading. The degree of accuracy of this solution was found to be overall acceptable, but strongly dependent upon the laminate lay-up and biaxiality ratio.


2003 ◽  
Vol 17 (08n09) ◽  
pp. 1540-1546 ◽  
Author(s):  
Sam Hong Song ◽  
Cheol Woong Kim

The delamination and the fatigue crack propagation behavior in aramid fiber reinforced metal laminates(AFRMLs) containing a saw-cut and circular hole such as the fuselage-wing intersection was investigated. The fatigue crack propagation in aluminum layer is accompanied with the delamination between aluminum layer and fiber layer. The delamination deteriorates the fiber bridging mechanism in the crack tip of AFRMLs. Therefore, this study evaluates the stress distribution of AFRMLs containing a saw-cut and circular hole using the Average Stress Criterion (ASC) model. The delamination zone was observed by ultrasonic C-scan images. As the result of this study, in case of AFRMLs containing a saw-cut specimen. the fatigue crack propagation always occurred in aluminum layer and the delamination zone formed along the fatigue crack. However, in case of AFRMLs containing a circular hole specimen, the delamination zone was formed in two types. First, delamination zone was formed along the fatigue crack in aluminum layer. Second, delamination zone was formed without any fatigue crack around the circular hole. Consequently, delamination zone was formed dependently on the notch shape and the stress distribution.


1996 ◽  
Vol 19 (5) ◽  
pp. 465-480 ◽  
Author(s):  
Santwana Banerjee (Mukhopadhyay) ◽  
S. K. Roychoudhuri

2019 ◽  
Vol 111 ◽  
pp. 146-155 ◽  
Author(s):  
Xingquan Zhang ◽  
Zhiwei Huang ◽  
Bin Chen ◽  
Yiwei Zhang ◽  
Jinyu Tong ◽  
...  

1960 ◽  
Vol 27 (2) ◽  
pp. 283-288 ◽  
Author(s):  
Eugene Levin

An infinite thin plate with an elliptical hole reinforced by a confocal elliptical ring is subjected to loads in the plane. A solution to the generalized plane-stress problem is obtained using the complex variable techniques of Muskhelishvili. The result is presented in a form well suited to evaluation by digital computers. Specialization to a circular hole with a negligibly thin reinforcement is shown to be in agreement with results obtained by other authors.


1981 ◽  
Vol 48 (1) ◽  
pp. 203-204 ◽  
Author(s):  
M. Erickson ◽  
A. J. Durelli

The complete stress distribution around a circular hole, located in the center of a square plate, has been determined photoelastically for the case of the plate loaded uniformly on two opposite sides. The study was conducted parametrically for a range of the ratio D/W of the diameter of the hole to the side of the square from 0.20 to 0.83. The results obtained permit the determination of the stresses for any biaxial condition and verify a previous solution obtained for the case of the pressurized hole. The experimental procedure is briefly described.


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