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Journal ArticleDOI

Microstructure/geometric imperfection sensitivity on the thermo-mechanical nonlinear stability behavior of functionally graded plates using four variable refined structural kinematics:

01 Oct 2021-Journal of Strain Analysis for Engineering Design (SAGE PublicationsSage UK: London, England)-Vol. 56, Iss: 7, pp 500-516
TL;DR: In this article, the nonlinear stability characteristics of geometrically imperfect shear deformable functionally graded plates (FGP) subjected to thermo-mechanical loads were investigated.
Abstract: The present work deals with the nonlinear stability characteristics of geometrically imperfect shear deformable functionally graded plates (FGP) subjected to thermo-mechanical loads. The equilibriu...
Citations
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Journal ArticleDOI
TL;DR: In this paper , the thermomechanical nonlinear stability analysis of simply supported geometrically imperfect porous functionally graded nanoplates (FG-nPs) resting on an elastic medium was studied.
Abstract: This paper studied the thermomechanical nonlinear stability analysis of simply supported geometrically imperfect porous functionally graded nanoplates (FG-nPs) resting on an elastic medium. The inverse trigonometric shear deformation theory was used in conjunction with the nonlocal strain gradient theory, which accounts for small-scale effects. The non-linear stability equations using the von Karman sense of the strain–displacement relation and generic imperfection function were derived for FG-nPs under thermomechanical loading conditions. The FG-nP was subjected to mechanical and thermal loading. An expression for the critical buckling load and temperature of a geometrically imperfect porous FG-nP was obtained. The impact of geometric imperfection, porosity inclusion, and geometric and boundary conditions on the nonlinear stability characteristics of FG-nPs was addressed thoroughly after validation of the superior accuracy of the derived expression.

1 citations

References
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Journal ArticleDOI
TL;DR: An extensive review related to the structural response of the functionally graded materials (FGMs) and structures have been presented in this article, where the emphasis has been made here, to present the structural characteristics of FGMs plates/shells under thermo-electro-mechanical loadings under various boundary and environmental conditions.

336 citations

Journal ArticleDOI
TL;DR: In this paper, equilibrium and stability equations of a moderately thick rectangular plate made of functionally graded materials under thermal loads are derived based on the first order shear deformation theory, assuming that the material properties vary as a power form of thickness coordinate variable z.

316 citations


"Microstructure/geometric imperfecti..." refers background in this paper

  • ...Considering the equation (20), a stress function f may be expressed as(6) N1xx= f, yy N 1 yy = f, xx N 1 xy = f, xy ð21Þ 504 Journal of Strain Analysis 56(7)...

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  • ...56(7) 500–516 IMechE 2020 Article reuse guidelines: sagepub....

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  • ...4 3 10(26) 508 Journal of Strain Analysis 56(7)...

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  • ...Substituting equations (1), (5), and (7) into equations (8) and (9), gives the constitutive relations as...

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Journal ArticleDOI
TL;DR: In this article, a Galerkin-differential quadrature iteration algorithm is proposed for solution of the non-linear partial differential governing equations of FGM rectangular plates that are integrated with surface-bonded piezoelectric actuators and are subjected to the combined action of uniform temperature change, inplane forces, and constant applied actuator voltage.

273 citations


"Microstructure/geometric imperfecti..." refers background in this paper

  • ...The following analytical solution is seen to satisfy both the equilibrium equation (15) and the edge conditions represented by equation (27)(14)...

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  • ...To solve both equations (22) and (26) with the adding of the boundary conditions (27), the approximate solutions can be considered as...

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Journal ArticleDOI
TL;DR: In this paper, a conceptual diagram of functionally gradient materials, taking into account the relaxation of thermal stress, is presented, and the composition of these materials is formulated to provide optimum distribution of composition, structure, and porosity to effectively relax thermal stress.
Abstract: Space planes require high-performance heat-resistant materials which can withstand ultrahigh temperatures and extremely large temperature gradients. To meet these needs, functionally gradient materials (FGMs) were proposed about 10 years ago in Japan.Figure 1 shows a conceptual diagram of functionally gradient materials, taking into account the relaxation of thermal stress. For the surface that contacts high-temperature gases at thousands of degrees, ceramics are used to provide adequate heat resistance. For the surface that provides cooling, metallic materials are used to furnish the necessary thermal conductivity and mechanical strength. In addition, the composition of these materials is formulated to provide optimum distribution of composition, structure, and porosity to effectively relax thermal stress.Since fiscal 1987, an RD Phase I was carried out from 1987 to 1989, and Phase II from 1990 to 1991.

261 citations


"Microstructure/geometric imperfecti..." refers background or methods in this paper

  • ...Using equations (1), (11), and (45), the buckling temperature change is calculated as...

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  • ...A new mathematical model has been developed to accommodate the porosity distribution in the plate as given in equation (1)....

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  • ...Substituting equations (1), (5), and (7) into equations (8) and (9), gives the constitutive relations as...

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  • ...The effective materials properties of porous FGP have been computed using equation (1)....

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Journal ArticleDOI
TL;DR: In this article, the equilibrium and stability equations of rectangular functionally graded plates (FGPs) are determined using the variational approach, where the material properties vary with the power product form of thickness coordinate variable z.
Abstract: In the present article, equilibrium and stability equations of rectangular functionally graded plates (FGPs) are determined using the variational approach. Derivation of equations are based on the classical plate theory. It is assumed that the material properties vary with the power product form of thickness coordinate variable z. Equilibrium and stability equations for FGPs are the same as the equations for homogeneous plates. The equilibrium and stability equations are employed to study the buckling behaviour of functionally graded plates with all edges simply supported and subjected to in-plane loading conditions. By equating power law index to zero, predicted relation is reduced to the buckling equation of homogeneous plates which is available in the literature.

248 citations


"Microstructure/geometric imperfecti..." refers background or methods in this paper

  • ...The stability equations are obtained by substituting equations (16) and (18) in equation (15)....

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  • ...These strains can be created in terms of the displacement components, applying equations (6), (16)–(18) with consideration of the imperfection term w , as(25,26)...

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