Free vibration analysis of functionally graded shells by a higher-order shear deformation theory and radial basis functions collocation, accounting for through-the-thickness deformations

Neves, A. M. A.; Ferreira, A.J.M.; Carrera, Erasmo; Cinefra, Maria; Roque, C.M.C.; Jorge, R.M. Natal; Soares, Carlos A. Mota

doi:10.1016/j.euromechsol.2012.05.005

Cited by 148 publications

(55 citation statements)

References 47 publications

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“…The mode shapes of first four frequencies for different power law exponent n = 0.0, 0.2, 2.0, 10.0 and 1000 (very high value), with geometric properties a/R=0.1 and a/h=10 are investigated. The source papers considered for comparison purposes are: Neves et al [14], who adopted higher order shear deformation theory in conjunction with Carrera's unified formulation [28][29][30] and collocation radial basis techniques [31][32][33][34]; Pradyumna and Bandyobadyay [17], who presented free vibration solution using higher order shear deformation theory [25] combined with finite element formulation; and Yang and Shen [15], who carried out the vibration analysis using higher order shear deformation theory [27] and semi analytical approach. It may be concluded that the present results exhibit close range with the above cited reference data for the maximum number of cases.…”

Section: Free Vibration Analysis-validation Studymentioning

confidence: 99%

“…Mori-Tanaka method that includes interactions between various elastic constants is used to estimate the properties of the functionally graded plate. Neves et al [14] extended the Carrera's unified formulation to perform vibration analysis of cylindrical shells. Two cases of transverse displacement (constant transverse displacement and quadratic variation with thickness coordinate) are considered to determine the frequency parameter of the cylindrical shell panels.…”

Section: Introductionmentioning

confidence: 99%

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Dynamic response of functionally graded skew shell panel

Chakrabarti

2013

Lat. Am. j. solids struct.

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The dynamic response of functionally graded skew shell is investigated using a C 0 finite element formulation. Reddy's higher order theory has been employed to perform the analysis and the volume fractions of the ceramic and metallic components are assumed to follow simple linear distribution law. The present study attempts to focus mainly on the influence of skew angle on frequency parameter and displacement of shell panel with various geometries. Comprehensive numerical results are demonstrated for cylindrical, spherical and hypar shells for different boundary conditions and skew angles.The findings obtained for functionally graded skew shell panels are new and can be used as bench mark for researchers in this field.

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Section: Free Vibration Analysis-validation Studymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Dynamic response of functionally graded skew shell panel

Chakrabarti

2013

Lat. Am. j. solids struct.

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“…Also, within this subject Kant et al [11] and Nayak et al [12] presented important works on the characterization of the dynamic answer of composite laminated structures. More recently, Neves et al [13] carried out a study upon functionally graded shells by using a meshless approach. In their work the analysis is performed by radial basis functions collocation, according to a higher-order shear deformation theory that accounts for throughthickness deformation.…”

Section: Introductionmentioning

confidence: 99%

Analysis of sandwich beam structures using kriging based higher order models

Loja

Barbosa

Soares

2015

Composite Structures

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a b s t r a c tFunctionally graded composite materials can provide continuously varying properties, which distribution can vary according to a specific location within the composite. More frequently, functionally graded materials consider a through thickness variation law, which can be more or less smoother, possessing however an important characteristic which is the continuous properties variation profiles, which eliminate the abrupt stresses discontinuities found on laminated composites. This study aims to analyze the transient dynamic behavior of sandwich structures, having a metallic core and functionally graded outer layers. To this purpose, the properties of the particulate composite metal-ceramic outer layers, are estimated using Mori-Tanaka scheme and the dynamic analyses considers first order and higher order shear deformation theories implemented though kriging finite element method. The transient dynamic response of these structures is carried out through Bossak-Newmark method. The illustrative cases presented in this work, consider the influence of the shape functions interpolation domain, the properties through-thickness distribution, the influence of considering different materials, aspect ratios and boundary conditions.

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“…In order to overcome the drawbacks of FSDT, HSDTs were developed which involved higher order terms in the displacements in the thickness coordinate. Remarkable among them are Reddy [14], Zenkour [15][16][17], Kant and Co-workers [18][19][20][21][22][23], Kadkhodayan [24], Matsunaga [25,26], Xiang [27] and Ferreira [28]. The buckling, vibration, linear and nonlinear bending behaviors of FG-CNT reinforced composite structures have drawn much concentration from researchers [29] because of the capability of FG-CNT reinforced composites to control deformation, dynamic response, wear, corrosion etc.…”

Section: Introductionmentioning

confidence: 99%

Static Bending Behavior of FG-CNT Reinforced Composite Plates Using Higher Order Shear Deformation Theory

Akurathi¹

2017

IJRASET

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The analytical formulations and solutions for the bending behavior of simply supported functionally graded carbon nanotube reinforced composite plates (FG-CNT Plates) are presented in this paper. Higher Order Shear Deformation Theory (HSDT) without enforcing zero transverse shear stresses on the top and bottom surfaces of the plate is used for the analysis. Two types of carbon nanotube (CNT) distributions are analyzed in this investigation. It is assumed that through the thickness, the material properties of the plate are varied. The governing equations of motion and boundary conditions are derived based on the principle of virtual work. Solutions are obtained for FG-CNT Plates in closed-form using Navier's technique. The deflections and stresses are shown for simply supported boundary conditions. The effect of side-to-thickness ratio, aspect ratio, the volume fraction, and through-the-thickness on the deflections and stresses are studied in this paper. The obtained results are compared with the available FSDT solutions in the literature for deflections. This research also shows that the volume fraction of CNT has little effect on stresses. A computer program in C is developed for determining deflections and stresses. Keywords: Static Bending Behavior, FG-CNT Plates, Effective Material Properties, HSDT, Navier's Method. I. INTRODUCTIONIn 1987, Niino and co-workers proposed initially the concept of functionally graded materials(FGMs) [1]. Functionally graded materials available in nature as bones, teeth etc. [2], that are designed by nature to meet their expected service requirements. This concept is reproduced from nature to solve an engineering problem. Functionally graded materials (FGMs) are gaining interest from researchers during recent years since these are advanced materials which show improvement in properties like thermal, mechanical, light-weight, dimensional stability, barrier properties, flame retardancy, heat resistance and electrical conductivity [3][4]. Initially, FGMs were utilized as thermal barrier materials for aerospace structural applications and fusion reactors [5]. FGMs also found significance in structural components functioning under very high-temperature environments [6]. As the content of reinforcement in FGMs varies gradually in some direction leads to gradation in properties through the thickness of plate thus eliminates interface problems and reduces stress concentrations [7]. The carbon nanotubes have great stiffness and axial strength due to carbon-carbon Sp2 bonding. They are the excellent stiff materials [8] with Young's modulus of 1.4 TPa and tensile strength well above 100 GPa. The CNT reinforced functionally graded composite materials(FGCM) having a wide variety of applications in different technological areas such as aerospace, defence, energy, automobile, medicine, structural and chemical industry [9]. Researchers have been proposed a variety of plate theories to interpret the behavior of plates earlier. It is helpful to discuss some developments in plate theory a...

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Free vibration analysis of functionally graded shells by a higher-order shear deformation theory and radial basis functions collocation, accounting for through-the-thickness deformations

Cited by 148 publications

References 47 publications

Dynamic response of functionally graded skew shell panel

Dynamic response of functionally graded skew shell panel

Analysis of sandwich beam structures using kriging based higher order models

Static Bending Behavior of FG-CNT Reinforced Composite Plates Using Higher Order Shear Deformation Theory

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