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Dynamic damage analysis of a ten-layer circular composite plate subjected to low-velocity impact

Raissi Hamed

Archives of Civil and Mechanical Engineering

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2021

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Vol. 21, no. 3

158--199

EN

A new theoretical solution is presented to determine the stress distribution in a ten-layer simply-supported circular composite plate subjected to the low-velocity impact. The aim of the current study is the investigation of the dynamic analysis of the composite plate when a cylindrical impactor hits the top layer of the plate with an initial velocity of 1 m/s. The plate is made of two adhesive layers adhere two aluminum layers to a six-layer carbon-epoxy laminated plate. The classical non-adhesive elastic contact theory and Hunter's relationship are used to simulate the contact behavior in terms of time and contact radius. By using Hamilton's principle and Layerwise theory, thirty-two equations of motion are derived. Moreover, Johnson–Cook’s criteria, the plastic simulation model, the normal stress–strain failure criterion theory were used for failure analysis of the aluminum, adhesive, and carbon-epoxy layers, respectively. The numerical method was used to solve the thirty-two differential equations of motion based on the finite difference method. Moreover, the relationship between stress and strain is re-written in the numerical code so that the failure criterion theories are satisfied. Moreover, according to the defined failure criterion for each layer, the damage is checked at the end of every time step. In addition, the damping behavior of the composite plate after applying the contact pressure caused by the impact was also investigated. The results showed that the impact resulted in residual stress in the plate.

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Effects of elastically restrained edges on FG sandwich annular plates by using a novel solution procedure based on layerwise formulation

Alipour M. M.

Archives of Civil and Mechanical Engineering

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2016

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Vol. 16, no. 4

678--694

EN

In practical applications, sandwich plates are often connected to other members, supported by damaged clamped/simply supported boundary conditions or supported by elastic restraints. Therefore, the mentioned structures may not always be simulated by the classical boundary conditions, i.e., ideal simply supported, clamped and free edges. Also, these structures may be subjected to various loads. In this study, for the first time, a novel economical analytical solution procedure is presented for axisymmetric static analysis of sandwich annular plates, by using the layerwise and 3D elasticity theories. Based on the proposed approach, functionally graded sandwich annular plates with various elastically restrained edges under arbitrary distributed loads may be analyzed and all of the displacements and stresses components may be exactly achieved. Also, imposed loads at the boundaries may be evaluated. Transverse shear and normal stresses boundary conditions on the top and bottom of the sandwich plate and the interlaminar continuity conditions of the in-plane displacement, transverse shear and normal stresses are exactly satisfied. Accuracy and efficiency of the presented solution procedure are demonstrated by comparing the obtained results for sandwich plates with the classical edge conditions as some special cases of the elastic supports with results of the three-dimensional theory of elasticity.

3

Przegląd teorii laminowanych kompozytowych płyt i powłok stosowanych w budowie zbiorników cienkościennych

Wilde R., Zborała P.

Zeszyty Naukowe Politechniki Poznańskiej. Budowa Maszyn i Zarządzanie Produkcją

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2007

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Nr 7

153-164

PL

Liczba zastosowań materiałów kompozytowych gwałtownie rośnie. Celem pracy jest przegląd różnych teorii opisujących przemieszczenia i naprężenia w płytach i powłokach wykonanych z materiałów kompozytowych. Inżynierowie, projektanci i naukowcy znajdą w niej przegląd niektórych pozycji bibliograficznych na temat kompozytów. Po krótkim wstępie opisano teorie najczęściej używane w zastosowaniach inżynieryjnych - klasyczna teorię laminatów oraz teorie laminatów pierwszego rzędu. W czwartym rozdziale przedstawiono teorie laminatów trzeciego rzędu, a w piątym ścisłą teorię warstwową, która używana jest najczęściej w metodzie elementów skończonych.

EN

The use of composite materials is growing very rapidly. The aim of this paper is to review various theories describing displacements and strains of laminated composite plates and shells. This could give enigineers, researchers and graduate students a quick access to the some volume of references on this specific topic in the field of composites. After short introduction there are presented the most commonly used theories for analyzing laminated or sandwich constructions in engineering applications - the classical laminated plate theory and the first-order laminated plate theory. The fourth chapter describes the third-order laminated plate theory and the fifth chapter -layerwise theory which is mostly used in finite element method.