On the rational derivation of a heirarchy of dynamic equations for a homogeneous, isotropic, elastic plate

International Journal of Solids and Structures

Volumn 38, Issue 15, 2001, Pages 2487-2501

  Boström, Anders ^a   Johansson, Gunnar ^a   Olsson, Peter ^a  

^a CHALMERS UNIVERSITY OF TECHNOLOGY   (Sweden)

Author keywords

Elastodynamics; Kirchhoff's equation; Mindlin's equation; Plates

Indexed keywords

BOUNDARY CONDITIONS; COMPUTATIONAL METHODS; COMPUTER SIMULATION; EQUATIONS OF MOTION; STRUCTURAL ANALYSIS; THERMAL EXPANSION;

RAYLEIGH-LAMB DISPERSIONS;

PLATES (STRUCTURAL COMPONENTS);

PLATE;

EID: 0035310495     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7683(00)00180-3     Document Type: Article

References (17)

1. A rational deduction of plate theories from three-dimensional linear elasticity
2. On kinematical assumptions of refined theories of plates: A survey
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4. On the justification of plate theories in linear elasticity theory using exponential decay-estimates
5. Influence of rotary inertia and shear on flexural vibrations of isotropic elastic plates
6. On the so-called variational consistency of plate models indefinite plates: Evaluation of dispersive behaviour
7. Bending wave diffraction from strips and cracks on thin plates
8. Reflection on the theory of elastic plates
9. An exact three-dimensional solution for normal loading of inhomogeneous and laminated anisotropic elastic plates of moderate thickness
10. Hyperbolic models of wave propagation in rods, plates and shells
11. Mindlin plate theory: Best shear coefficient and higher spectra validity
12. On asymptotically correct linear laminated plate theory