Three-dimensional analysis of transient thermal stresses in functionally graded plates

Vel, Senthil S.; Batra, R.C.

doi:10.1016/s0020-7683(03)00361-5

Cited by 267 publications

(73 citation statements)

References 30 publications

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“…The advantage of smoothing the mismatch in materials properties makes FGMs very useful for various applications in which the structure is subjected to extreme conditions (Suresh 2001). One of their most relevant advantages, with respect to conventional laminated composites, concerns the scarce relevance in FGMs of structural integrity issues such as delamination or fracture (e.g., Vel and Batra 2003;Erdogan 1995).…”

Section: Introductionmentioning

confidence: 99%

Three-dimensional elastic solutions for functionally graded circular plates

Sburlati¹,

Bardella²

2011

European Journal of Mechanics - A/Solids

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Three-dimensional elastic solutions are obtained for a functionally graded thick circular plate subject to axisymmetric conditions. We consider a isotropic material where the Young modulus depends exponentially on the position along the thickness, while the Poisson ratio is constant. The solution method utilises a Plevako's representation form which reduces the problem to the construction of a potential function satisfying a linear fourth-order partial differential equation. We write this potential function in terms of Bessel functions and we pointwise assign mixed boundary conditions. The analytic solution is obtained in a general form and explicitly presented by assuming transversal load on the upper face and zero displacements on the mantle; this is done by superposing the solutions of problems with suitably imposed radial displacement. We validate the solution by means of a finite element approach; in this way, we highlight the effects of the material inhomogeneity and the limits of the employed numerical method near the mantle, where the solution shows a large sensitivity to the boundary conditions.

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Section: Introductionmentioning

confidence: 99%

Three-dimensional elastic solutions for functionally graded circular plates

Sburlati¹,

Bardella²

2011

European Journal of Mechanics - A/Solids

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“…A number of journals dealing with various aspects of the FGM have been published in recent years [7], [8], and [9]. Proceedings of international seminar on FGM also shed light on the latest research in these materials, their manufacture, Biest et al [10], studies of FGM plates on mechanics, thermal properties and thermo-mechanical response of FGM plates; Reddy [11], Reddy and Chin [12], Vel and Batra [13,14], Cheng and Batra [15]. A recent critical review of thermal analysis of FGM plates has been published by Swaminathan et al [16].…”

Section: Introductionmentioning

confidence: 99%

Bending Response of Composite Material Plates with Specific Properties, Case of a Typical FGM "Ceramic/Metal" in Thermal Environments

Benyamina¹,

Bouderba²,

Saoula³

2018

Period. Polytech. Civil Eng.

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“…The effectiveness of displacement-cum-velocity feedback control scheme was presented using finite element methods using piezoelectric. An analytical solution was presented by Vel and Batra (2003) for three-dimensional thermo-mechanical deformations of a simply supported FG rectangular plate subjected to time-dependent thermal loads on its top and/or bottom surfaces. Material properties were taken to be analytical functions of the thickness coordinate.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear vibration analysis of piezolaminated functionally graded cylindrical shell

Susheel¹,

Kumar²,

Chauhan³

2017

IJNDC

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Abstract:In the present work, study of geometric nonlinear vibration analysis of thin piezolaminated functionally graded cylindrical shell is presented. Material properties are graded in the thickness direction of the shell according to power law distribution in terms of volume fraction of the constituents. The shell is modelled using degenerated shell element to predict the deformation under electric voltage and thermal gradient across the thickness of the shell. Modelling is based on the first order shear deformation theory. Second-Piola stress and Green-Lagrange strain tensor are used to perform the large deformation analysis. The accuracy of the developed finite element modelling is validated by comparing numerical results with the published results in the literature. The influence of electric voltage, thermal gradient and gradient index on the vibrational behaviour of cylindrical shell is studied.

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Three-dimensional analysis of transient thermal stresses in functionally graded plates

Cited by 267 publications

References 30 publications

Three-dimensional elastic solutions for functionally graded circular plates

Three-dimensional elastic solutions for functionally graded circular plates

Bending Response of Composite Material Plates with Specific Properties, Case of a Typical FGM "Ceramic/Metal" in Thermal Environments

Nonlinear vibration analysis of piezolaminated functionally graded cylindrical shell

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