Transverse Flexure of a Thin Plate Containing Two Circular Holes

1959 ◽  
Vol 26 (1) ◽  
pp. 55-60
Author(s):  
O. Tamate

Abstract The problem of finding stress resultants in a thin elastic plate containing two circular holes of equal size, under plain bending about the axes of symmetry, has been discussed on the basis of the Poisson-Kirchhoff theory. A method of perturbation is adopted for the determination of parametric coefficients involved in the solution. The factors of stress concentration are calculated and compared with the results available.

1959 ◽  
Vol 26 (4) ◽  
pp. 661-665
Author(s):  
O. Tamate

Abstract The problem of finding stress resultants in a semi-infinite plate under plain bending and containing an infinite row of equal and equally spaced circular holes is discussed on the basis of the Poisson-Kirchhoff theory of thin plates. A method of perturbation is adopted for the determination of parametric coefficients included in the solution. The maximum bending moments occurring on the rim of the hole across the minimum section are calculated for several cases and shown in graphs, from which the mutual interference of adjacent boundaries will be informed.


1972 ◽  
Vol 39 (1) ◽  
pp. 129-132 ◽  
Author(s):  
S. L. Cheng

The formal solution of the problem of defraction of a plane, time-harmonic, compressional wave by a group of cavities in a thin elastic plate is obtained by the method of multiple scattering. The cavities are circular and their geometry of distribution is arbitrary. Numerical results of two identical holes at a finite separation are presented in detail.


1971 ◽  
Vol 37 (304) ◽  
pp. 2254-2262
Author(s):  
Minoru HAMADA ◽  
Kazuo YOKOYA ◽  
Masayuki HAMAMOTO ◽  
Tadashi MASUDA

Author(s):  
Keisuke Kinoshita ◽  
Osamu Watanabe

The objective of the present study is to evaluate fatigue strength of a perforated plate at an elevated temperature of 550°C under displacement-controlled loading. Specimens having two circular holes have stress concentrations near the hole sides. The two holes in the specimen made of SUS304 stainless steel are placed at an angle of 30°, 60° and 90° measured from the loading direction. Stress concentration factors of these specimens, having the complicated stress pattern distribution, were estimated by the finite element method (FEM). Based on the stress concentration factor, the inelastic strain was estimated by the simplified equation of the Stress Redistribution Locus (SRL) method, and the estimated strain was compared to the experimental Best Fit Fatigue (BFF) curve. Crack initiation cycles were determined from graph showing the crack propagation process, which were measured by a CCD camera at a regular interval cycle. Crack initiation cycles were smaller than failure cycles of 75% load decreasing point. By using these inelastic local strain and crack initiation cycles, the experimented results were predicted well by the present complicated structures.


1980 ◽  
Vol 23 (181) ◽  
pp. 1043-1047
Author(s):  
Minoru HAMADA ◽  
Iwao MIZUSHIMA ◽  
Tadashi MASUDA

1974 ◽  
Vol 96 (1) ◽  
pp. 65-70 ◽  
Author(s):  
M. Hamada ◽  
I. Mizushima ◽  
M. Hamamoto ◽  
T. Masuda

The boundary collocation method using the general form of the stress function is proved to be available for the problems of stress concentration in infinite plates with many circular holes. As numerical examples, the problems treated are of infinite plates with two circular holes of unequal diameters, those of infinite plates with four circular holes of equal diameters and of symmetric arrangement, and those with a row of infinite circular holes, all of which are subjected to uniaxial tension. Also the problem of an infinite plate with a row of infinite circular holes subjected to shear is solved. The numerical results are summarized in some diagrams.


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