scholarly journals Stress Distribution in a Rectangular Plate Subject to Forces Acting in it's Plane : Method by Strain Energy

1958 ◽  
Vol 24 (139) ◽  
pp. 148-154 ◽  
Author(s):  
Minoru HAMADA
Keyword(s):  
Stress Distribution ◽  
Rectangular Plate ◽  
Strain Energy ◽  
Plane Method

Three-Dimensional Stress Distribution in Arteries

1983 ◽  
Vol 105 (3) ◽  
pp. 268-274 ◽  
Author(s):  
C. J. Chuong ◽  
Y. C. Fung
Keyword(s):  
Experimental Data ◽  
Stress Distribution ◽  
Vessel Wall ◽  
Strain Energy ◽  
Arterial Wall ◽  
Three Dimensional ◽  
Strain Energy Function ◽  
Exponential Form ◽  
Strain Relationship ◽  
Longitudinal Stretch

A three-dimensional stress-strain relationship derived from a strain energy function of the exponential form is proposed for the arterial wall. The material constants are identified from experimental data on rabbit arteries subjected to inflation and longitudinal stretch in the physiological range. The objectives are: 1) to show that such a procedure is feasible and practical, and 2) to call attention to the very large variations in stresses and strains across the vessel wall under the assumptions that the tissue is incompressible and stress-free when all external load is removed.

scholarly journals Stress distribution in a rectangular plate having two opposing edges sheared in opposite directions

1923 ◽  
Vol 103 (723) ◽  
pp. 598-610 ◽  
Keyword(s):  
Shear Stress ◽  
Stress Distribution ◽  
Rectangular Plate ◽  
Royal Society ◽  
External Stress ◽  
The Other ◽  
Optical Methods ◽  
Centre Line ◽  
Distribution Of Stress

The type of deformation under investigation is indicated by fig. 1. A rectangular plate ABCD is deformed into the shape A'B'C'D'. The two opposing edges AB, CD are shifted horizontally without alteration of length into the position A'B', C'D', the other boundaries AD, BC being kept free from external stress. In a paper which appeared in the 'Proc. Royal Society', December 28, 1911, Prof. E. G. Coker investigated this same type of deformation using optical methods to determine the distribution of stress along the centre line OX. He found that if the plate was square the shear stress along OX was distributed in a munner which was approximately parabolic. As the ratio of AD to AB decreased the curve of distribution first of all became flat-topped, and for yet smaller ratios two distinct humps made their appearance.

Static Stability Behaviour of Plate Elements with Non-Uniform, in-Plane Stress Distribution

1979 ◽  
Vol 21 (5) ◽  
pp. 363-365
Author(s):  
P. K. Datta
Keyword(s):  
Stress Distribution ◽  
Boundary Conditions ◽  
Rectangular Plate ◽  
Plane Stress ◽  
Mixed Boundary ◽  
Mixed Boundary Conditions ◽  
Static Stability ◽  
Buckling Loads ◽  
Plate Elements ◽  
Edge Loading

The results of analytically and experimentally determined buckling loads of a rectangular plate, subjected to partial edge loading and mixed boundary conditions, are presented.

The effect of two isolated forces on the elastic stability of a flat rectangular plate

1937 ◽  
Vol 33 (3) ◽  
pp. 325-339 ◽  
Author(s):  
D. M. A. Leggett
Keyword(s):  
Rectangular Plate ◽  
Energy Method ◽  
Strain Energy ◽  
Close Agreement ◽  
Elastic Stability ◽  
Underlying Assumption ◽  
Simply Supported ◽  
The Common ◽  
External Forces ◽  
Strain Energy Method

1. Introduction and summary. The problem of the elastic stability of a simply supported rectangular plate, compressed by two equal and opposite forces acting in the plane of the plate (see Fig. 1), was first attempted by A. Sommerfeld, and later by S. Timoshenko. The former produced a solution which in a later paper he admitted to be liable to very considerable error, while the latter constructed a solution by means of the well-known strain-energy method. In many problems this method gives results in very close agreement with those obtained in a more rigorous manner, but, in the particular case considered here, it appeared likely that the error would be appreciable owing to the underlying assumption that the only stresses in the plate occurred along the common line of action of the two external forces.

The Effect of Residual Stresses on the Critical Crack Length Predicted by the Griffith Theory

1963 ◽  
Vol 30 (4) ◽  
pp. 613-616 ◽  
Author(s):  
W. E. Jahsman ◽  
F. A. Field
Keyword(s):  
Stress Distribution ◽  
Residual Stresses ◽  
Crack Length ◽  
Strain Energy ◽  
Glass Plate ◽  
Uniform Stress ◽  
Unstable Crack ◽  
Critical Crack ◽  
Critical Crack Length ◽  
Griffith Theory

The Griffith theory for unstable crack length is modified to take into account the effect of residual (self-equilibrating) stresses. An expression relating the uniform stress, physical properties of the material, critical crack length, and the equilibrating strain energy is derived for a general stress distribution. This expression is used to develop a criterion for spontaneous cracking due to residual stresses alone. A specific numerical example for a parabolic residual-stress distribution in a glass plate is carried out in some detail.

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