Elastoplasticity problem regarding a thin plate with a biperiodic system of circular holes

1976 ◽  
Vol 12 (3) ◽  
pp. 275-279
Author(s):  
V. M. Mirsalimov
Keyword(s):  
Thin Plate ◽  
Circular Holes ◽  
Biperiodic System

scholarly journals Flexural Wave Propagation in a Thin Plate with Circular Holes

1973 ◽  
Vol 16 (97) ◽  
pp. 1045-1052 ◽  
Author(s):  
Hideo SAITO ◽  
Kosuke NAGAYA
Keyword(s):  
Wave Propagation ◽  
Thin Plate ◽  
Flexural Wave ◽  
Circular Holes ◽  
Flexural Wave Propagation

scholarly journals Modelling of Microperforated Panel Absorbers with Circular and Slit Hole Geometries

Acoustics ◽  
2021 ◽  
Vol 3 (4) ◽  
pp. 665-678
Author(s):  
Pedro Cobo
Keyword(s):  
3D Printing ◽  
Thin Plate ◽  
Fluid Model ◽  
Original Proposal ◽  
Circular Holes ◽  
Absorption Performance ◽  
Hole Geometry ◽  
Microperforated Panels

Although the original proposal of microperforated panels by Maa consisted of an array of minute circular holes evenly distributed in a thin plate, other hole geometries have been recently suggested that provide similar absorption curves to those of circular holes. With the arrival of modern machining technologies, such as 3D printing, panels microperforated with slit-shaped holes are being specially considered. Therefore, models able to predict the absorption performance of microperforated panels with variable hole geometry are needed. The aim of this article is to analyze three models for such absorbing systems, namely, the Maa model for circular holes, the Randeberg–Vigran model for slit-shaped holes, and the Equivalent Fluid model for both geometries. The absorption curves predicted for these three models are compared with the measured curves of three panels microperforated with spirally shaped slits.

Transverse Flexure of a Thin Plate Containing Two Circular Holes

1959 ◽  
Vol 26 (1) ◽  
pp. 55-60
Author(s):  
O. Tamate
Keyword(s):  
Stress Concentration ◽  
Thin Plate ◽  
Elastic Plate ◽  
Equal Size ◽  
Thin Elastic Plate ◽  
Two Circular Holes ◽  
Circular Holes ◽  
Axes Of Symmetry ◽  
Kirchhoff Theory

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.

scholarly journals ELASTOPLASTIC PROBLEM FOR PERFORATED PLATE IN TRANSVERSE SHEAR

2021 ◽  
Vol 08 (04) ◽  
pp. 29-40
Author(s):  
Rafail Mehdiyev Rafail Mehdiyev ◽  
Alekber Mehdiyev Alekber Mehdiyev ◽  
Rustam Mammadov Rustam Mammadov
Keyword(s):  
Thin Plate ◽  
Singular Integral ◽  
Transverse Shear ◽  
Perforated Plate ◽  
Singular Integral Equations ◽  
Algebraic Equations ◽  
Linear Algebraic Equations ◽  
Circular Holes ◽  
Periodic Stress ◽  
Unequal Length

A solution is given to the problem of transverse shear of a thin plate clamped along the edges of the holes and weakened by a doubly periodic system of rectilinear through cracks with plastic end zones collinear to the abscissa and ordinate axes of unequal length. General representations of solutions are constructed that describe the class of problems with a doubly periodic stress distribution outside circular holes and rectilinear cracks with end zones of plastic deformations. Satisfying the boundary conditions, the solution of the problem of the theory of shear plates is reduced to two infinite systems of algebraic equations and two singular integral equations. Then each singular integral equation is reduced to a finite system of linear algebraic equations. Keywords: perforated thin plate, straight cracks with end zones, transverse bending, plastic deformation zones.

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