scholarly journals On the problems of nonhomogeneous and anisotropic elastic layer-composite plates

1994 ◽  
Vol 16 (4) ◽  
pp. 1-10
Author(s):  
Dao Huy Bich
Keyword(s):  
Experimental Data ◽  
Elastic Layer ◽  
Composite Plates ◽  
Homogenization Method ◽  
Effective Modulus ◽  
Elastic Plates ◽  
Dynamic Problems ◽  
Layer Composite ◽  
Material Behaviors ◽  
Anisotropic Elastic

Using the homogenization method problems of nonhomogeneous and anisotropic elastic layer composite plates reduce to the problems of homogeneous and anisotropic elastic plates. The formulae of effective modulus theory determining material behaviors in this cases are given and can be checked by experimental data. Obtained results allow to analyze static and dynamic problems of composite plates by well - know methods.

scholarly journals Equations of dynamic and static problems of nonhomogeneous and anisotropic elastic layered-composite plates

1996 ◽  
Vol 18 (2) ◽  
pp. 35-42
Author(s):  
Pham Thi Toan
Keyword(s):  
Composite Material ◽  
Composite Materials ◽  
Composite Plates ◽  
Homogenization Method ◽  
Layered Composite ◽  
Layered Plate ◽  
Governing Equations ◽  
Plate Method ◽  
Anisotropic Elastic ◽  
Anisotropic Elastic Material

The homogenization method for studying composite materials had been introduced in [1]. By this method the problem of nonhomogeneous and anisotropic elastic layered w composite material reduces to the set of problems of homogeneous, anisotropic elastic material. In this paper the governing equations of dynamic and static problems of layered - composite plates are formulated. An example is considered, obtained results can be compared with ones of multi-layered plate method.

scholarly journals Fibre-induced drag reduction

2008 ◽  
Vol 602 ◽  
pp. 209-218 ◽  
Author(s):  
J. J. J. GILLISSEN ◽  
B. J. BOERSMA ◽  
P. H. MORTENSEN ◽  
H. I. ANDERSSON
Keyword(s):  
Experimental Data ◽  
Numerical Simulation ◽  
Reynolds Number ◽  
Drag Reduction ◽  
Elastic Layer ◽  
Turbulent Drag Reduction ◽  
Rigid Polymer ◽  
Fibre Concentration ◽  
Induced Drag ◽  
Turbulent Drag

We use direct numerical simulation to study turbulent drag reduction by rigid polymer additives, referred to as fibres. The simulations agree with experimental data from the literature in terms of friction factor dependence on Reynolds number and fibre concentration. An expression for drag reduction is derived by adopting the concept of the elastic layer.

Numerical analysis of multi-layer composite plates with internal delamination

2004 ◽  
Vol 82 (7-8) ◽  
pp. 627-637 ◽  
Author(s):  
L.H. Yam ◽  
Z. Wei ◽  
L. Cheng ◽  
W.O. Wong
Keyword(s):  
Numerical Analysis ◽  
Composite Plates ◽  
Layer Composite

scholarly journals Coupled vibrations of viscoelastic three-layer composite plates. 1. Formulation of problem

2020 ◽  
Vol 65 (3) ◽  
pp. 469-480
Author(s):  
Victor M. Ryabov ◽  
◽  
Boris A. Yartsev ◽  
Ludmila V. Parshina ◽  
◽  
...  
Keyword(s):  
Composite Plates ◽  
Coupled Vibrations ◽  
Layer Composite

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 Mathematical Models with Buckling and Contact Phenomena for Elastic Plates: A Review

Mathematics ◽  
2020 ◽  
Vol 8 (4) ◽  
pp. 566
Author(s):  
Aliki D. Muradova ◽  
Georgios E. Stavroulakis
Keyword(s):  
Mathematical Models ◽  
Initial Conditions ◽  
Nonlinear Partial Differential Equations ◽  
Composite Plates ◽  
Contact Problems ◽  
Elastic Plates ◽  
Advantages And Disadvantages ◽  
Contact Models ◽  
Set Up ◽  
Unilateral Contact Problems

A review of mathematical models for elastic plates with buckling and contact phenomena is provided. The state of the art in this domain is presented. Buckling effects are discussed on an example of a system of nonlinear partial differential equations, describing large deflections of the plate. Unilateral contact problems with buckling, including models for plates, resting on elastic foundations, and contact models for delaminated composite plates, are formulated. Dynamic nonlinear equations for elastic plates, which possess buckling and contact effects are also presented. Most commonly used boundary and initial conditions are set up. The advantages and disadvantages of analytical, semi-analytical, and numerical techniques for the buckling and contact problems are discussed. The corresponding references are given.

Analysis of three-layer composite plates with a new higher-order layerwise formulation

2014 ◽  
Vol 21 (3) ◽  
pp. 401-404
Author(s):  
Dalal A. Maturi ◽  
Antonio J.M. Ferreira ◽  
Ashraf M. Zenkour ◽  
Daoud S. Mashat
Keyword(s):  
Composite Plates ◽  
Order Theory ◽  
Higher Order ◽  
Basis Functions ◽  
Numerical Accuracy ◽  
First Order ◽  
The Core ◽  
First Order Theory ◽  
Layer Composite ◽  
Vibration Problems

AbstractIn this paper, we combine a new higher-order layerwise formulation and collocation with radial basis functions for predicting the static deformations and free vibration behavior of three-layer composite plates. The skins are modeled via a first-order theory, while the core is modeled by a cubic expansion with the thickness coordinate. Through numerical experiments, the numerical accuracy of this strong-form technique for static and vibration problems is discussed.

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