On the simple tension of a nonhomogeneous anisotropic elastic plate with cracks

1968 ◽  
Vol 36 (5) ◽  
pp. 303-313 ◽  
Author(s):  
T. Kamada
Keyword(s):  
Elastic Plate ◽  
Simple Tension ◽  
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.

Large Deflection of a Different Modulus Circular Plate

1975 ◽  
Vol 97 (1) ◽  
pp. 52-56 ◽  
Author(s):  
N. Kamiya
Keyword(s):  
Composite Materials ◽  
Finite Difference ◽  
Circular Plate ◽  
Elastic Plate ◽  
Elastic Moduli ◽  
Large Deflection ◽  
Material Model ◽  
Governing Equations ◽  
Simple Tension ◽  
Tension And Compression

It is known that some composite materials or high-polymers behave differently in simple tension and compression. The present paper is concerned with a bending analysis of a different modulus elastic plate subjected to a uniform lateral load. Employing the istoropic different modulus material model developed by Ambartsumyan and Khachatryan, the basic governing equations of an axisymmetric large deflection of a thin circular plate are derived under the usual assumption of Kirchhoff-Love. The differential equations are written approximately in finite-difference forms and solved numerically by an iteration method. Discussion and comparison of results are made with respect to different values of the ratio of tensile to compressive elastic moduli, Et/Ec.

scholarly journals Dynamic equations for a fully anisotropic elastic plate

2011 ◽  
Vol 330 (11) ◽  
pp. 2640-2654 ◽  
Author(s):  
Karl Mauritsson ◽  
Peter D. Folkow ◽  
Anders Boström
Keyword(s):  
Elastic Plate ◽  
Dynamic Equations ◽  
Anisotropic Elastic

On the Extension of an Infinite Elastic Plate Containing an Axisymmetric Hole

1972 ◽  
Vol 39 (2) ◽  
pp. 507-512 ◽  
Author(s):  
E. E. Burniston
Keyword(s):  
Asymptotic Expansion ◽  
Elastic Plate ◽  
Three Dimensional ◽  
Simple Tension

The problem of a thin isotropic elastic plate containing an axisymmetric hole, under simple tension at infinity is considered. The method used is to extend the plate theories which have appeared in recent years, which employ asymptotic expansion techniques to determine systematic approximations to the three-dimensional equations of elastostatics.

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