On the Bending of Multilayered Plates Considering Surface Viscoelasticity

2021 ◽  
pp. 39-48
Author(s):  
Victor A. Eremeyev ◽  
Violetta Konopi´nska-Zmysłowska
Keyword(s):  
Multilayered Plates

Impact Effects in Multilayered Plates

2000 ◽  
Author(s):  
Jonas A. Zukas ◽  
Daniel R. Scheffler
Keyword(s):  
Multilayered Plates

Transmission of reverberant sound through orthotropic, viscoelastic multilayered plates

1980 ◽  
Vol 70 (3) ◽  
pp. 319-332 ◽  
Author(s):  
J.L. Guyader ◽  
C. Lesueur
Keyword(s):  
Multilayered Plates

Refined and Advanced Models for Multilayered Plates and Shells Embedding Functionally Graded Material Layers

2010 ◽  
Vol 17 (8) ◽  
pp. 603-621 ◽  
Author(s):  
E. Carrera ◽  
S. Brischetto ◽  
M. Cinefra ◽  
M. Soave
Keyword(s):  
Functionally Graded Material ◽  
Functionally Graded ◽  
Graded Material ◽  
Multilayered Plates ◽  
Plates And Shells

Stress analysis of multilayered plates around circular holes

1984 ◽  
Vol 22 (1) ◽  
pp. 57-75 ◽  
Author(s):  
F. Delale
Keyword(s):  
Stress Analysis ◽  
Circular Holes ◽  
Multilayered Plates

Through cracks in multilayered plates

1977 ◽  
pp. 85-115 ◽  
Author(s):  
R. Badaliance ◽  
G. C. Sih ◽  
E. P. Chen
Keyword(s):  
Multilayered Plates

scholarly journals Mesh-adapted stress analysis of multilayered plates using a layerwise model

2020 ◽  
Vol 7 (1) ◽  
Author(s):  
Lucille Salha ◽  
Jérémy Bleyer ◽  
Karam Sab ◽  
Joanna Bodgi
Keyword(s):  
Stress Analysis ◽  
Multilayered Plates

Refined Multilayered Plate Elements for Coupled Magneto‐Electro‐Elastic Analysis

2009 ◽  
Vol 5 (2) ◽  
pp. 119-138 ◽  
Author(s):  
M. Di Gifico ◽  
P. Nali ◽  
S. Brischetto
Keyword(s):  
Finite Elements ◽  
Kinematic Model ◽  
Single Layer ◽  
Laminated Plates ◽  
Governing Equations ◽  
Elastic Fields ◽  
Plate Elements ◽  
Plate Models ◽  
Multilayered Plates ◽  
Principle Of Virtual Displacements

Finite elements for the analysis of multilayered plates subjected to magneto‐electro‐elastic fields are developed in this work. An accurate description of the various field variables has been provided by employing a variable kinematic model which is based on the Unified Formulation, UF. Displacements, magnetic and electric potential have been chosen as independent unknowns. Equivalent single layer and layer‐wise descriptions have been accounted for. Plate models with linear up to fourth‐order distribution in the thickness direction have been compared. The extension of the principle of virtual displacements to magneto‐electro‐elastic continua has been employed to derive finite elements governing equations. According to UF these equations are presented in terms of fundamental nuclei whose form is not affected by kinematic assumptions. Results show the effectiveness of the proposed elements as well as their capability, by choosing appropriate kinematics, to accurately trace the static response of laminated plates subject to magneto‐electro‐elastic fields.

Historical review of Zig-Zag theories for multilayered plates and shells

2003 ◽  
Vol 56 (3) ◽  
pp. 287-308 ◽  
Author(s):  
Erasmo Carrera
Keyword(s):  
English Language ◽  
Plate Thickness ◽  
Historical Review ◽  
Axiomatic Approach ◽  
Multilayered Structures ◽  
Anisotropic Plates ◽  
Plate And Shell ◽  
Multilayered Plates ◽  
Plates And Shells ◽  
Transverse Stresses

This paper gives a historical review of the theories that have been developed for the analysis of multilayered structures. Attention has been restricted to the so-called Zig-Zag theories, which describe a piecewise continuous displacement field in the plate thickness direction and fulfill interlaminar continuity of transverse stresses at each layer interface. Basically, plate and shell geometries are addressed, even though beams are also considered in some cases. Models in which the number of displacement variables is kept independent of the number of constitutive layers are discussed to the greatest extent. Attention has been restricted to those plate and shell theories which are based on the so-called method of hypotheses or axiomatic approach in which assumptions are introduced for displacements and/or transverse stresses. Mostly, the work published in the English language is reviewed. However, an account of a few articles originally written in Russian is also given. The historical review conducted has led to the following main conclusions. 1) Lekhnitskii (1935) was the first to propose a Zig-Zag theory, which was obtained by solving an elasticity problem involving a layered beam. 2) Two other different and independent Zig-Zag theories have been singled out. One was developed by Ambartsumian (1958), who extended the well-known Reissner-Mindlin theory to layered, anisotropic plates and shells; the other approach was introduced by Reissner (1984), who proposed a variational theorem that permits both displacements and transverse stress assumptions. 3) On the basis of historical considerations, which are detailed in the paper, it is proposed to refer to these three theories by using the following three names: Lekhnitskii Multilayered Theory, (LMT), Ambartsumian Multilayered Theory (AMT), and Reissner Multilayered Theory (RMT). As far as subsequent contributions to these three theories are concerned, it can be remarked that: 4) LMT although very promising, has almost been ignored in the open literature. 5) Dozens of papers have instead been presented which consist of direct applications or particular cases of the original AMT. The contents of the original works have very often been ignored, not recognized, or not mentioned in the large number of articles that were published in journals written in the English language. Such historical unfairness is detailed in Section 3.2. 6) RMT seems to be the most natural and powerful method to analyze multilayered structures. Compared to other theories, the RMT approach has allowed from the beginning development of models which retain the fundamental effect related to transverse normal stresses and strains. This review article cites 138 references.

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