The effect of transverse shear upon the buckling stability of inelastic orthotropic plates

1966 ◽  
Vol 1 (2) ◽  
pp. 100-102 ◽  
Author(s):  
G. A. Teters
Keyword(s):  
Transverse Shear ◽  
Orthotropic Plates ◽  
Buckling Stability

scholarly journals Calculation of orthotropic plates for creep taking into account shear deformations

2018 ◽  
Vol 196 ◽  
pp. 01002 ◽  
Author(s):  
Anton Chepurnenko ◽  
Batyr Yazyev ◽  
Angelica Saibel
Keyword(s):  
Differential Equations ◽  
Transverse Shear ◽  
System Of Differential Equations ◽  
Orthotropic Plates ◽  
Shear Deformations ◽  
Tangential Stresses ◽  
Distributed Load ◽  
Uniformly Distributed Load ◽  
Basic Hypothesis

A system of differential equations is obtained for calculating the creep of orthotropic plates taking into account the deformations of the transverse shear. The basic hypothesis is a parabolic change in tangential stresses over the thickness of the plate. An example of the calculation is given for a GRP plate hinged on the contour under the action of a uniformly distributed load.

Solution of problems of the bending of orthotropic plates which yield in transverse shear

1987 ◽  
Vol 23 (8) ◽  
pp. 772-777
Author(s):  
A. T. Vasilenko ◽  
N. G. Stepanenko
Keyword(s):  
Transverse Shear ◽  
Orthotropic Plates

A Refined Theory for Laminated Orthotropic Plates

1974 ◽  
Vol 41 (1) ◽  
pp. 177-183 ◽  
Author(s):  
R. B. Nelson ◽  
D. R. Lorch
Keyword(s):  
Plane Wave ◽  
Transverse Shear ◽  
Initial Conditions ◽  
Equations Of Motion ◽  
Structural Theory ◽  
Refined Theory ◽  
Reference Surface ◽  
Correction Factors ◽  
Orthotropic Plates ◽  
Wave Solutions

A refined structural theory is presented which accurately models the static and dynamic behavior of laminated orthotropic plates. The refined theory extends classical theory to include transverse shear, transverse normal, and quadratic displacement terms in the kinematic assumption. Hamilton’s principle is used to formulate the displacement equations of motion with appropriate boundary and initial conditions. The composite correction factors kij are introduced in a manner consistent with their indifference to choice of reference surface, and are determined by a procedure in which plane wave solutions for the plate are adjusted to match corresponding exact solutions. Examples of homogeneous isotropic, orthotropic, and laminated orthotropic plates are presented to show the capability of the theory to accurately model the lower branches of the frequency spectrum of these plates for wavelength-thickness ratios greater than unity.

On the nominal transverse shear strain to characterize the severity of creasing

TAPPI Journal ◽  
2018 ◽  
Vol 17 (04) ◽  
pp. 231-240
Author(s):  
Douglas Coffin ◽  
Joel Panek
Keyword(s):  
Shear Strain ◽  
Transverse Shear ◽  
Elastic Limit ◽  
Experimental Results ◽  
Transverse Shear Strain ◽  
Maximum Strain ◽  
Machine Direction ◽  
Engineering Approach ◽  
Wide Range ◽  
Analytic Expression

A transverse shear strain was utilized to characterize the severity of creasing for a wide range of tooling configurations. An analytic expression of transverse shear strain, which accounts for tooling geometry, correlated well with relative crease strength and springback as determined from 90° fold tests. The experimental results show a minimum strain (elastic limit) that needs to be exceeded for the relative crease strength to be reduced. The theory predicts a maximum achievable transverse shear strain, which is further limited if the tooling clearance is negative. The elastic limit and maximum strain thus describe the range of interest for effective creasing. In this range, cross direction (CD)-creased samples were more sensitive to creasing than machine direction (MD)-creased samples, but the differences were reduced as the shear strain approached the maximum. The presented development provides the foundation for a quantitative engineering approach to creasing and folding operations.

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