A New Rate Principle Suitable for Analysis of Inelastic Deformation of Plates and Shells

1985 ◽  
Vol 52 (3) ◽  
pp. 533-535 ◽  
Author(s):  
S. Mukherjee ◽  
F. G. Kollmann
Keyword(s):  
Variational Principle ◽  
Linear Elasticity ◽  
Inelastic Deformation ◽  
Thin Plates ◽  
Independent Functions ◽  
Rate Form ◽  
Plates And Shells ◽  
Thin Plates And Shells

A variational principle for linear elasticity, using displacements and strains as independent functions, is presented in this paper. An extension of this principle in rate form is claimed to be extremely useful for the analysis of inelastic deformation of thin plates and shells.

Radiation conditions for a semi-infinite elastic strip

2005 ◽  
Vol 461 (2056) ◽  
pp. 1163-1179 ◽  
Author(s):  
E Babenkova ◽  
J Kaplunov
Keyword(s):  
High Frequency ◽  
Thin Plates ◽  
Elastic Strip ◽  
Resonance Frequencies ◽  
Laplace Transform Technique ◽  
The Laplace Transform ◽  
Plates And Shells ◽  
High Frequency Vibrations ◽  
Thin Plates And Shells ◽  
Radiation Conditions

High-frequency vibrations of a semi-infinite elastic strip with traction-free faces are considered. The conditions on end data that are derived do not allow non-radiating in Sommerfeld's sense of polynomial modes at thickness resonance frequencies. These represent a high-frequency analogue of the well-known decay conditions in statics that agree with the classical Saint-Venant principle. The proposed radiation conditions are applied to the construction of boundary conditions in the theories of high-frequency long-wave vibrations describing slow-varying motions in the vicinity of thickness resonance frequencies. The derivation is based on the Laplace transform technique along with the asymptotic methodology that is typical for thin plates and shells.

Thin Plates and Shells: Theory, Analysis, and Applications

2002 ◽  
Vol 55 (4) ◽  
pp. B72-B73 ◽  
Author(s):  
E Ventsel, ◽  
T Krauthammer, ◽  
E Carrera,
Keyword(s):  
Thin Plates ◽  
Theory Analysis ◽  
Plates And Shells ◽  
Thin Plates And Shells

Buckling of Simply Supported Oblique Plates

1963 ◽  
Vol 30 (3) ◽  
pp. 363-366 ◽  
Author(s):  
Y. Yoshimura ◽  
K. Iwata
Keyword(s):  
General Theory ◽  
Coordinate System ◽  
Thin Plates ◽  
Simply Supported ◽  
Critical Stresses ◽  
Plates And Shells ◽  
Thin Plates And Shells

Based on the general theory of thin plates and shells previously developed by the first author, which holds also for oblique coordinate system, the problem of buckling of simply supported parallelogram plates is treated. Numerical values of the critical stresses of buckling under compression and shear are calculated, respectively, for plates having angles between 45 and 135 deg, and for side ratios 1 and 2.

The Poynting vector and source identification for thin plates and shells

1988 ◽  
Vol 83 (S1) ◽  
pp. S99-S99
Author(s):  
Earl G. Williams ◽  
Phillip B. Abraham ◽  
Anthony J. Romano
Keyword(s):  
Source Identification ◽  
Poynting Vector ◽  
Thin Plates ◽  
Plates And Shells ◽  
Thin Plates And Shells
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