Three-dimensional elasticity solution for sandwich panels with corrugated cores by using energy method

Shaban, M.; Alibeigloo, A.

doi:10.1016/j.tws.2017.06.035

Cited by 34 publications

(9 citation statements)

References 16 publications

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“…Generally, the present theoretical results are almost consistent with the calculated results of the FEA shell elements models with the same boundary conditions [21][22][23][24][25]. By comparing the results of the FEA model and Xia's method [20], Bartolozzi et al [22] proved that the proposed method can still be used with good accuracy for trapezoidal corrugated cores with relatively short horizontal segments.…”

Section: Relative Density ρ Coresupporting

confidence: 82%

“…The corrugation cores can be considered periodic with period 2 × p, dip angle β, and height h. Unlike triangular-shaped cores and sinusoidal cores, the trapezoidal cores are composed of two parts: the horizontal segment and the corrugated segment. Based on Mindlin-Reissner theory, H. Mohammadi [35] and M. Shaban [25] established a quarter trapezoidal cell model and the boundary conditions (BCs) of a dummy moment 0 M . A vertical force V and a horizontal force H were applied at the end of the horizontal part.…”

Section: Equivalent Properties Of Trapezoidal Corrugated Coresmentioning

confidence: 99%

“…They also studied the effect of transverse shearing deformation for short and long beams. For corrugated cores, equivalent out-of-plane properties are also important and cannot be ignored [25]. Therefore, Zhang and Lei et al [26] studied the out-of-plane compressive performance and energy absorption of multi-layer graded sinusoidal corrugated sandwich panels.…”

Section: Introductionmentioning

confidence: 99%

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An Equivalent Homogenization Theoretical Method for Composite Sandwich Cylinders Subjected to Pure Bending

Liu

et al. 2021

Symmetry

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An equivalent theoretical homogenization method was proposed for composite sandwich cylinders subjected to pure bending. Firstly, based on a homogeneous orthotropic layer hypothesis, the trapezoidal corrugated sandwich core was found to be equivalent in a homogenization orthotropic layer with the nine equivalent mechanical properties. Then, Lekhnitskii’s theory, based on a unified connection parameter method, was introduced and applied in the equivalent composite sandwich cylinder. The method developed by Lekhnitskii is suitable for arbitrary combinations of winding layers with different winding angles and materials. Additionally, the bending stiffness of the equivalent sandwich cylinder could be calculated. By developing user subroutine of UMAT, the numerical calculation results were in a good agreement with the results of the proposed method. Further, according to the Hill–Tsai strength criterion and the maximum strain criterion, parametric study was done for specified bending stiffness and specified bending strength. The results show that the influence of core parameters on the specified bending stiffness and strength are lower than that of the skin parameters. Additionally, larger skin thickness and smaller winding angles could improve the specified bending stiffness and specified bending strength of the composite corrugated sandwich cylinders.

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Section: Relative Density ρ Coresupporting

confidence: 82%

Section: Equivalent Properties Of Trapezoidal Corrugated Coresmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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An Equivalent Homogenization Theoretical Method for Composite Sandwich Cylinders Subjected to Pure Bending

Liu

et al. 2021

Symmetry

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“…Table 1 presents required constrains and equivalent orthotropic properties of corrugated core as functions of geometrical parameters. Details of derivation of these properties are presented in a previous work [22] and are omitted in this paper for the sake of conciseness.…”

Section: Mathematical Formulationmentioning

confidence: 99%

Global bending analysis of corrugated sandwich panels with integrated piezoelectric layers

Shaban

Alibeigloo

2018

Jnl of Sandwich Structures & Materials

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Smart corrugated sandwich panels are special types of sandwich panels which are well suited in advanced devices to provide not only high resistance capability against mechanical loads but also energy harvesting capacity for low power applications. In this paper, analytical solution for corrugated sandwich panels with embedded piezoelectric layers is presented by using three-dimensional theory of elasticity. Energy method in conjugation with homogenization approach is used to determine effective properties of corrugated cores in thickness direction. Due to extreme orthotropic nature of corrugated cores, this method can give an accurate solution by using state-space method. Accuracy of core properties is verified by comparing numerical results with previous investigations. Furthermore, reliability of presented method is guaranteed by comparing the results with finite element analysis. A comprehensive parametric study including influences of geometrical factors such as pitch, height, sheet thickness and corrugation shape is accomplished.

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“…Расчетная модель -трехмерная (пространственная) задача теории упругости. Математическая постановка этой задачи приведена, например, в [31][32][33][34][35][36][37][38][39][40][41][42][43][44][45]. Пусть : -область, занимаемая рассматрива-емой конструкцией, …”

Section: расчетная модель и общая постановка задачиunclassified

About Solution of Multipoint Boundary Problems of Three-Dimensional Structural Analysis With the Use of Combined Application of Finite Element Method and Discrete-Continual Finite Element Method. Part 1: Formulation and Basic Principles of Approximation

Akimov

Negrozov

2018

IJCCSE

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1 Российская академия архитектуры и строительных наук, г. Москва, РОССИЯ 2 ЗАО «Научно-исследовательский центр «СтаДиО», г. Москва, РОССИЯ 3 Томский государственный архитектурно-строительный университет, г. Томск, РОССИЯ 4 Российский университет дружбы народов, г. Москва, РОССИЯ 5 Национальный исследовательский Московский государственный строительный университет, г. Москва, РОССИЯ Аннотация: В настоящей статье рассматриваются постановка и общие принципы аппроксимации много-точечной краевой задачи статического расчета трехмерной конструкции на основе совместного примене-ния метода конечных элементов и дискретно-континуального метода конечных элементов. В частности, описаны основные обозначения и соглашения, представлены расчетная модель и общая постановка зада-чи (на основе трехмерной теории упругости), общие принципы аппроксимации области, принятые пра-вила нумерации подобластей, правила нумерации конечных элементов и дискретно-континуальных ко-нечных элементов; описано построение дискретной (конечноэлементной) и дискретно-континуальной аппроксимирующих моделей на подобластях.Ключевые слова: дискретно-континуальный метод конечных элементов, метод конечных элементов, расчеты строительных конструкций, трехмерные задачи, постановки задач, аппроксимация ABOUT SOLUTION OF MULTIPOINT BOUNDARY PROBLEMS OF THREE-DIMENSIONAL STRUCTURAL ANALYSIS WITH THE USE OF COMBINED APPLICATION OF FINITE ELEMENT METHOD AND DISCRETE-CONTINUAL FINITE ELEMENT METHOD PART 1: FORMULATION AND BASIC PRINCIPLES OF APPROXIMATION Abstract:The distinctive paper is devoted to formulation and basic principles of approximation of multipoint boundary problem of static analysis of three-dimensional structure with the use of combined application of finite element method and discrete-continual finite element method. Basic notation system, design model, general for-

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Three-dimensional elasticity solution for sandwich panels with corrugated cores by using energy method

Cited by 34 publications

References 16 publications

An Equivalent Homogenization Theoretical Method for Composite Sandwich Cylinders Subjected to Pure Bending

An Equivalent Homogenization Theoretical Method for Composite Sandwich Cylinders Subjected to Pure Bending

Global bending analysis of corrugated sandwich panels with integrated piezoelectric layers

About Solution of Multipoint Boundary Problems of Three-Dimensional Structural Analysis With the Use of Combined Application of Finite Element Method and Discrete-Continual Finite Element Method. Part 1: Formulation and Basic Principles of Approximation

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