Finite element analysis of laminated composite plates using a higher-order displacement model

Pandya, B.N.; Kant, Tarun

doi:10.1016/0266-3538(88)90003-6

Cited by 164 publications

(58 citation statements)

References 12 publications

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“…(1) is assumed constant through the plate thickness and thus setting e z ¼ 0, then the displacement field may be expressed as [22] uðx; y; zÞ ¼ u 0 ðx; yÞ þ zh x ðx; yÞ …”

Section: Displacement Modelsmentioning

confidence: 99%

“…This theory considers three-dimensional Hooke's law, incorporates the effect of transverse normal strain in addition to transverse shear deformations. Pandya and Kant [18][19][20][21][22], Kant and Manjunatha [23,24] and Manjunatha and Kant [25] have extended this theory and presented C 0 finite element formulations and solutions for the stress analysis of symmetric and unsymmetric laminated composite and sandwich plates. Rohwer [26] made a comparative study of various higher order theories for the bending analysis of multilayer composite plates.…”

Section: Introductionmentioning

confidence: 99%

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Analytical solutions for the static analysis of laminated composite and sandwich plates based on a higher order refined theory

Kant

Swaminathan

2002

Composite Structures

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313

116

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Analytical formulations and solutions to the static analysis of simply supported composite and sandwich plates hitherto not reported in the literature based on a higher order refined theory developed by the first author and already reported in the literature are presented. The theoretical model presented herein incorporates laminate deformations which account for the effects of transverse shear deformation, transverse normal strain/stress and a nonlinear variation of in-plane displacements with respect to the thickness coordinate -thus modelling the warping of transverse cross-sections more accurately and eliminating the need for shear correction coefficients. In addition, a few higher order theories and the first order theory developed by other investigators and already available in the literature are also considered for the evaluation. The equations of equilibrium are obtained using principle of minimum potential energy (PMPE). Solutions are obtained in closed form using Navier's technique by solving the boundary value problem. The comparison of the present results with the available elasticity solutions and the results computed independently using the first order and the other higher order theories available in the literature shows that this refined theory predicts the transverse displacement and the stresses more accurately than all other theories considered in this paper. After establishing the accuracy of present results for composite and sandwich plates, new results for the stretching-bending coupling behaviour of antisymmetric sandwich laminates using all the theories considered in this paper are presented which will serve as a benchmark for future investigations.

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“…(1) is assumed constant through the plate thickness and thus setting e z ¼ 0, then the displacement field may be expressed as [22] uðx; y; zÞ ¼ u 0 ðx; yÞ þ zh x ðx; yÞ …”

Section: Displacement Modelsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Analytical solutions for the static analysis of laminated composite and sandwich plates based on a higher order refined theory

Kant

Swaminathan

2002

Composite Structures

Self Cite

313

116

View full text Add to dashboard Cite

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“…This requires the use of a displacement field, in which the in-plane displacements are expanded as cubic functions of the thickness coordinate. The displacement field which assumes w (x, y, z) constant through the plate thickness thus setting is expressed as: [32] …”

Section: A Displacement Modelmentioning

confidence: 99%

Bending Analysis of CNT Reinforced Metal Matrix Composite Rectangular Plates Using Higher Order Shear Deformation Theory

Patel¹

2017

IJRASET

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I. INTRODUCTIONThe immense need to develop lightweight and high-strength materials for improving energy-efficiency through the weight reduction of transportation carriers. Metal matrix composites (MMCs) generally consist of lightweight metal alloys of aluminum magnesium, or titanium, reinforced with ceramic particulate, whiskers, or fibres. The reinforcement is very important because it determines the mechanical properties, cost, and performance of a given composite. Composites reinforced with particulate (discontinuous types of reinforcement) can have costs to unreinforced metals, with significantly better hardness, and somewhat better stiffness and strength. Continuous reinforcement (long fibre) can result in dramatic improvements in mechanical properties of MMC, but costs remain high. The application of continuously and discontinuously reinforced MMCs varies based on the design requirements. MMCs can be tailored to fulfil requirements that no other materials, including other advanced materials, can achieve. There are a number of niche applications in aerospace structures and electronics that capitalize on this advantage. Aluminium and its alloys have attracted many researchers to choose it as a base metal in metal matrix composites [1]. Aluminium MMCs are widely used in aircraft, aerospace, automobiles and various other fields [2].Al matrix is widely used for CNT reinforced MMCs. Since the work by Zhong et al. [3]. The reinforcements should be stable in the given working temperature and non-reactive too. There are many manufacturing methods to obtain the CNT reinforced Al matrix composites (Al-CNT), amongst which, the powder metallurgy (P/M) technique could be considered as the most effective and economic one. Most of the current Al-CNT composites were fabricated by P/M and significant enhancement in stiffness and strength have been obtained [4][5][6]. A novel method to fabricate CNT-Al composites, which consists of a molecular level mixing process was proposed Cha et al. [7]. The CNT-Al metal matrix composites fabricated by this process improved the hardness due to a load transfer mechanism of the CNTs. The strength of CNT-Al metal matrix composites and investigated the relevant strengthening mechanisms involved in CNT-Al composites in order to produce optimized composites was studied George et al. [8]. The need for high performance and lightweight materials for some demanding applications has led to extensive efforts in the development of aluminium matrix composites and cost-effective fabrication technologies [9][10][11][12]. They are proved to have good mechanical properties through an incorporation of structural filler (e.g., aluminium oxide, ceramic whiskers such as silicon carbide whisker and others, graphite, carbon fibers and CNTs) With this context, the dimensionally Nano-sized, mechanically strong CNTs [13][14][15][16] are considered as the ideal reinforcing filler in various composite systems [17][18][19][20], have been incorporated into aluminium

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“…The elasticity solution demonstrates that through the plate thickness the transverse shear stress varies parabolic ally which demands the use of a displacement field, in which the inplane displacements are expanded as cubic functions of the thickness coordinate. The displacement field which assumes w constant through the plate thickness thus setting = 0 is expressed as: [39] ) ,…”

Section: A Displacement Modelmentioning

confidence: 99%

“…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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Finite element analysis of laminated composite plates using a higher-order displacement model

Cited by 164 publications

References 12 publications

Analytical solutions for the static analysis of laminated composite and sandwich plates based on a higher order refined theory

Analytical solutions for the static analysis of laminated composite and sandwich plates based on a higher order refined theory

Bending Analysis of CNT Reinforced Metal Matrix Composite Rectangular Plates Using Higher Order Shear Deformation Theory

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

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