Nonlinear thermomechanical behaviors of thin functionally graded sandwich shells with double curvature

Trinh, Minh-Chien; Kim, Seung-Eock

doi:10.1016/j.compstruct.2018.04.067

Cited by 32 publications

(8 citation statements)

References 36 publications

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“…In the same vein, the yield strength of metal (r m 0 ) is listed in Table 2 at different temperatures [44]. A curve fitting of these data is presented in Figure 5 in order to evaluate the unique coefficients of equation (3). The temperatures at the inner and outer surfaces of the disc are considered to be 300 K and 800 K, respectively.…”

Section: Disc Parameters Investigationmentioning

confidence: 99%

“…FGMs in the light of their superior properties, can withstand severe thermomechanical working conditions. FGMs are made of two constituent materials, usually metal and ceramic, where their volume fractions can be tailored functionally to meet the necessary operational requirements for any structural component [2][3][4][5]. Multilayer structures made of FGMs are considered extensively by many researchers [2][3][4][5][6][7].…”

Section: Introductionmentioning

confidence: 99%

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Thermo-elastoplastic behavior of a rotating sandwich disc made of temperature-dependent functionally graded materials

Eldeeb

Shabana

Elsawaf

2020

Jnl of Sandwich Structures & Materials

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In this paper, the thermo-elastoplastic behaviors of rotating sandwich nonuniform thickness annular discs made of functionally graded materials are evaluated using the numerical finite difference method. The sandwich disc is composed of number of equal width layers, and each layer has its own volume fraction. The temperature dependency of the constituent materials is considered; hence, the thermomechanical properties are functions of both position and temperature. The plasticity analysis is accomplished based on the modified Tamura-Tomota-Ozawa model and von Mises yielding criterion. The effects of angular speed, number of layers, thickness profile, and boundary conditions on the stresses and displacements are investigated. Since failure may occur at the interface between the successive layers, the circumferential stress-jumps at the interfaces are also considered. Results ascertain that the temperature dependency of the properties highly influences the disc behaviors. In addition, better disc performance is obtained by increasing the number of layers and/or decreasing the angular speed.

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Section: Disc Parameters Investigationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Thermo-elastoplastic behavior of a rotating sandwich disc made of temperature-dependent functionally graded materials

Eldeeb

Shabana

Elsawaf

2020

Jnl of Sandwich Structures & Materials

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“…Sofiyev [40] presented a modified form of FSDT to solve the bucking problem of FG sandwich truncated conical shells. Trinh and Kim [41] employed the fourth-order Runge-Kutta method to obtain analytical closed-form solutions for thin FGSSS with double curvature testing on elastic bases. Therefore, this paper presents an exact method for the free vibration of FGSSS on Winkler and Pasternak foundations based on first-order shear deformation shallow shell theory (FSDSST).…”

Section: Mathematical Problems In Engineeringmentioning

confidence: 99%

Free Vibration of Functionally Graded Sandwich Shallow Shells on Winkler and Pasternak Foundations with General Boundary Restraints

Wang

Yao

et al. 2019

Mathematical Problems in Engineering

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In this investigation, an exact method based on the first-order shear deformation shallow shell theory (FSDSST) is performed for the free vibration of functionally graded sandwich shallow shells (FGSSS) on Winkler and Pasternak foundations with general boundary restraints. Vibration characteristics of the FGSSS have been obtained by the energy function represented in the orthogonal coordinates, in which the displacement and rotation components consisted of standard double Fourier cosine series and several closed-form supplementary functions are introduced to eliminate the potential jumps and boundary discontinuities. Then, the expansion coefficients are determined by using Rayleigh-Ritz method. The proposed method shows good accuracy and reliability by comprehensive investigation concerning free vibration of the FGSSS. Numerous new vibration results for FGSSS on Winkler and Pasternak foundations with various curvature types, geometrical parameters, and boundary restraints are provided, which may serve as benchmark solutions for future research. In addition, the effects of the inertia, shear deformation, and foundation coefficients on free vibration characteristic of FGSSS are illustrated.

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“…Functionally graded materials (FGMs) have a continuous and smooth graded distribution of material properties in the spatial field. Due to their superior properties and advantages, FGMs have been successfully extended to various engineering applications and received much attention [ 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22 , 23 , 24 ]. Recently, a breakthrough made it possible to realize desired structural properties by adjusting the local density of structures, thereby developing novel functionally graded (FG) porous structures composed of metal foams having graded density [ 25 , 26 , 27 , 28 ].…”

Section: Introductionmentioning

confidence: 99%

Vibration and Buckling of Shear Deformable Functionally Graded Nanoporous Metal Foam Nanoshells

Zhang

2019

Nanomaterials

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This article aims to investigate free vibration and buckling of functionally graded (FG) nanoporous metal foam (NPMF) nanoshells. The first-order shear deformation (FSD) shell theory is adopted and the theoretical model is formulated by using Mindlin’s most general strain gradient theory, which can derive several well-known simplified models. The symmetric and unsymmetric nanoporosity distributions are considered for the structural composition. Hamilton’s principle is employed to deduce the governing equations as well as the boundary conditions. Then, via the Navier solution technique, an analytical solution for the free vibration and buckling of FG NPMF nanoshells is presented. Afterwards, a detailed parametric analysis is conducted to highlight the effects of the nanoporosity coefficient, nanoporosity distribution, length scale parameter, and geometrical parameters on the mechanical behaviors of FG NPMF nanoshells.

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Nonlinear thermomechanical behaviors of thin functionally graded sandwich shells with double curvature

Cited by 32 publications

References 36 publications

Thermo-elastoplastic behavior of a rotating sandwich disc made of temperature-dependent functionally graded materials

Thermo-elastoplastic behavior of a rotating sandwich disc made of temperature-dependent functionally graded materials

Free Vibration of Functionally Graded Sandwich Shallow Shells on Winkler and Pasternak Foundations with General Boundary Restraints

Vibration and Buckling of Shear Deformable Functionally Graded Nanoporous Metal Foam Nanoshells

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