JOURNAL OF THE JAPAN WELDING SOCIETY
Online ISSN : 1883-7204
Print ISSN : 0021-4787
ISSN-L : 0021-4787
Restraint Intensities of a Slit in a Finite Plate
Yukio UedaKeiji FukudaYou Chul Kim
Author information
JOURNAL FREE ACCESS

1979 Volume 48 Issue 10 Pages 851-858

Details
Abstract

Restraint intensities of a slit in a rectangular plate were calculated, under two loading conditions; uniformly distributed loads along the slit and a uniform dislocation along the slit. The calculation was carried out by superposition of the analytical solution for an infinite plate and correction by the finite, element method to a rectangular plate. Furthermore, very accurate formulae for the restraint intensities were derived.
The following conclusions were obtained:
(1) For a specimen having the ratios of L/l≥1.5 and B/l≥1.8(L, B and l are the length, the breadth of the specimen and the length of the slit, respectively.), the restraint intensities can be easily obtained by the following equations.
Rp(x)=(1-βp) E/2 h/l 1/√1-(2x/l)2 (uniformly distributed loads)
Rδ(x)=[1-βδ(x)] E/π h/l 1/1-(2x/l)2 (uniform dislocation)
where βp=0.6/(L/l)n+0.75/(B/l)1.82, n=5.8/(B/l)2+2.2
βδ=[1-(2x/l)2δ0, βδ0δ(x=0)
βδ0=2βp
E; Young's modulus, h; plate thickness
So, there is a clear relation between the two restraint intensities as shown in the following explicit from;
Rp(x)/Rσ(x) = π/2 1-βρ/1-βδ √1-(2x/l)2
(2)Dependencies of the restraint intensities on L/l and B/l are made clear and convergencies of the intensities to limiting values are studied when L/l or/and B/l becomes greater.
(3) Effect of the ratio of throat thickness to plate thickness upon the restraint intensities is taken into account and a simple formula is derived.

Content from these authors
© by JAPAN WELDING SOCIETY
Previous article Next article
feedback
Top