scholarly journals STRESS DISTRIBUTION FOR ANISOTROPIC ELASTIC PLATE CONTAINING TWO OR MORE ARBITRARY ELLIPTICAL HOLES

1971 ◽  
Vol 1971 (196) ◽  
pp. 9-18
Author(s):  
Yoshiji Niwa ◽  
Ken-ichi Hirashima
Keyword(s):  
Stress Distribution ◽  
Elastic Plate ◽  
Elliptical Holes ◽  
Anisotropic Elastic

General Solutions for the Statics of Anisotropic, Transversely Inhomogeneous Elastic Plates in Terms of Complex Functions

2006 ◽  
Vol 11 (6) ◽  
pp. 596-628 ◽  
Author(s):  
Kostas P. Soldatos
Keyword(s):  
General Solution ◽  
Elastic Plate ◽  
Plate Theory ◽  
High Order ◽  
Transverse Strain ◽  
Elastic Plates ◽  
General Solutions ◽  
Material Inhomogeneity ◽  
Complex Functions ◽  
Anisotropic Elastic

This paper develops the general solution of high-order partial differential equations (PDEs) that govern the static behavior of transversely inhomogeneous, anisotropic, elastic plates, in terms of complex functions. The basic development deals with the derivation of such a form of general solution for the PDEs associated with the most general, two-dimensional (“equivalent single-layered”), elastic plate theory available in the literature. The theory takes into consideration the effects of bending–stretching coupling due to possible un-symmetric forms of through-thickness material inhomogeneity. Most importantly, it also takes into consideration the effects of both transverse shear and transverse normal deformation in a manner that allows for a posteriori, multiple choices of transverse strain distributions. As a result of this basic and most general development, some interesting specializations yield, as particular cases, relevant general solutions of high-order PDEs associated with all of the conventional, elastic plate theories available in the literature.

scholarly journals The Stress Distribution in a Thick Elastic Plate under Torsional Displacements by a Pair of Annular Rigid Stamps

1976 ◽  
Vol 42 (362) ◽  
pp. 3031-3036
Author(s):  
Toshikazu SHIBUYA ◽  
Takashi KOIZUMI ◽  
Ichiro NAKAHARA ◽  
Shuho TANAKA
Keyword(s):  
Stress Distribution ◽  
Elastic Plate

Stresses in a Thick Plate With Axially Symmetric Loading

1965 ◽  
Vol 32 (2) ◽  
pp. 458-459 ◽  
Author(s):  
T. J. Lardner
Keyword(s):  
Stress Distribution ◽  
Normal Stress ◽  
Numerical Integration ◽  
Elastic Plate ◽  
Thick Plate ◽  
Axially Symmetric ◽  
Pressure Loading ◽  
Normal Stress Distribution ◽  
Symmetric Loading

The problem of the thick elastic plate with a symmetric circular pressure loading is considered. The normal stress distribution on the midplane and for two positions off the midplane is obtained by a numerical integration of the solutions. A comparison of the stress distribution on the midplane is made with previous results.

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