Isogeometric analysis for size-dependent nonlinear thermal stability of porous FG microplates

Cuong-Le, Thanh; Tran, Loc V.; Bui, Tinh Quoc; Nguyễn, Xuân Hùng; Wahab, Magd Abdel

doi:10.1016/j.compstruct.2019.04.010

Cited by 111 publications

(36 citation statements)

References 64 publications

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“…1. As a consequence, the associated Young's modulus E, shear modulus G, Poisson's ratio ν, and thermal expansion coefficient α can be extracted based on the modified rule of mixture in the following forms [17]:…”

Section: Materials Propertiesmentioning

confidence: 99%

“…There are many reasons which motivate a large number of scientists across the world to conduct theoretical and experimental research to shed light on the influence of porosities on various engineering structures made of FGMs. One of the most significant motivations is to reduce the impact of porosities on the material strength [16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31]. Thanh et al [17] presented a novel research to investigate the size-dependent effects on the thermal stability of FGM micro-plates with three types of porosity dispersion patterns, including even, uneven, and logarithmic uneven.…”

Section: Introductionmentioning

confidence: 99%

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Large deformation behavior of functionally graded porous curved beams in thermal environment

et al. 2021

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The in-plane thermoelastic response of curved beams made of porous materials with different types of functionally graded (FG) porosity is studied in this research contribution. Nonlinear governing equations are derived based on the first-order shear deformation theory along with the nonlinear Green strains. The nonlinear governing equations are solved by the aid of the Rayleigh–Ritz method along with the Newton–Raphson method. The modified rule-of-mixture is employed to derive the material properties of imperfect FG porous curved beams. Comprehensive parametric studies are conducted to explore the effects of volume fraction and various dispersion patterns of porosities, temperature field, and arch geometry as well as boundary conditions on the nonlinear equilibrium path and stability behavior of the FG porous curved beams. Results reveal that dispersion and volume fraction of porosities have a significant effect on the thermal stability path, maximum stress, and bending moment at the crown of the curved beams. Moreover, the influence of porosity dispersion and structural geometry on the central radial and in-plane displacement of the curved beams is evaluated. Results show that various boundary conditions make a considerable difference in the central radial displacements of the curved beams with the same porosity dispersion. Due to the absence of similar results in the specialized literature, this paper is likely to provide pertinent results that are instrumental toward a reliable design of FG porous curved beams in thermal environment.

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Section: Materials Propertiesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Large deformation behavior of functionally graded porous curved beams in thermal environment

et al. 2021

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“…Le Thanh et al 8 developed a thermomechanical size-dependent model using finite element method for predicting the stress, thermal defection, and critical buckling load of composite microplates laminates based on the Reddy plate theory together with new modification of couple stress theory. For the first time, Le Thanh et al 9 used isogeometric analysis for the size-dependent impacts on the post-buckling and thermal buckling behaviors of functionally graded micro-plates with porosities.…”

Section: Introductionmentioning

confidence: 99%

Thermal-stress analysis of a damaged solid sphere using hyperbolic two-temperature generalized thermoelasticity theory

Youssef

El-Bary

Al-Lehaibi

2021

Sci Rep

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This work aims to study the influence of the rotation on a thermoelastic solid sphere in the context of the hyperbolic two-temperature generalized thermoelasticity theory based on the mechanical damage consideration. Therefore, a mathematical model of thermoelastic, homogenous, and isotropic solid sphere with a rotation based on the mechanical damage definition has been constructed. The governing equations have been written in the context of hyperbolic two-temperature generalized thermoelasticity theory. The bounding surface of the sphere is thermally shocked and without volumetric deformation. The singularities of the studied functions at the center of the sphere have been deleted using L’Hopital’s rule. The numerical results have been represented graphically with various mechanical damage values, two-temperature parameters, and rotation parameter values. The two-temperature parameter has significant effects on all the studied functions. Damage and rotation have a major impact on deformation, displacement, stress, and stress–strain energy, while their effects on conductive and dynamical temperature rise are minimal. The thermal and mechanical waves propagate with finite speeds on the thermoelastic body in the hyperbolic two-temperature theory and the one-temperature theory (Lord-Shulman model).

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“…Furthermore, the respond of plate based on Reissner-Mindlin was investigated with mesh free reinforced by the moving Kriging interpolation [38,39]. Moreover, the isogeometric analysis was implemented to explain the nonlinear thermal stability of functionally graded porous micro-plate [40]. It was concluded that, porous micro-plate gives higher critical buckling and postbuckling temperature compared with perfect FGM micro-plate.…”

Section: Introductionmentioning

confidence: 99%

Analytical solutions of bending and free vibration of moderately thick micro-plate via two-variable strain gradient theory

Farahmand

2020

J Braz. Soc. Mech. Sci. Eng.

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In this paper, the strain gradient theory (SGT) and two-variable refined plate theory are implemented simultaneously to analyze bending and free vibration of micro-plate. The proposed theory is called two-variable strain gradient theory (TV-SGT). The TV-SGT, which can be used for both thin and moderately thick micro-plates, predicts parabolic variation of transverse shear stresses across the plate thickness and does not need the shear correction factor. The governing equations are obtained using a variational approach and solved analytically to find the deflection of simply supported micro-plate under uniformly distributed loading and natural frequency of this plate. Thereby, the effects of length scale parameters and dimensions on the bending deflection and natural frequency of the micro-plate are investigated. Results show that, strengthen micro-plate has higher shear rigidity. Moreover, it is inferred that TV-SGT is well defined to analyze the micro-plate.

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Isogeometric analysis for size-dependent nonlinear thermal stability of porous FG microplates

Cited by 111 publications

References 64 publications

Large deformation behavior of functionally graded porous curved beams in thermal environment

Large deformation behavior of functionally graded porous curved beams in thermal environment

Thermal-stress analysis of a damaged solid sphere using hyperbolic two-temperature generalized thermoelasticity theory

Analytical solutions of bending and free vibration of moderately thick micro-plate via two-variable strain gradient theory

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