Thermoelastic damping analysis of FG Mindlin microplates using strain gradient theory

Emami, Aram; Alibeigloo, A.

doi:10.1080/01495739.2016.1242097

Cited by 11 publications

(5 citation statements)

References 37 publications

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“…When the coupled thermoelastic problems and thickness stretching effect are considered, the high-order stresses corresponding to the dilatation gradient tensor p i should be modified. More information about this aspect can be found in [62,68].…”

Section: Modified Strain Gradient Theory (Mst)mentioning

confidence: 99%

“…Shenas and Malekzadeh [61] discussed the influence of thermal environment on the free vibration behavior of quadrilateral FG microplates by using the Chebyshev-Ritz method. Emami and Alibeigloo [62] also adopted the first-order plate theory and analytical approach to study the thermoelastic damping behavior of FG microplates, in which the coupled thermoelasticity was investigated together with the size effect.…”

Section: Introductionmentioning

confidence: 99%

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Post-buckling of functionally graded microplates under mechanical and thermal loads using isogeomertic analysis

Thai

et al. 2017

Engineering Structures

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The present study uses the isogeometric analysis (IGA) to investigate the post-buckling behavior of functionally graded (FG) microplates subjected to mechanical and thermal loads. The modified a strain gradient theory with three length scale parameters is used to capture the size effect. The Reddy third-order shear deformation plate theory with the von Kámán nonlinearity (i.e., small strains and moderate rotations) is employed to describe the kinematics of the microplates. Material variations in the thickness direction of the plate are described using a rule of mixtures. In addition, material properties are assumed to be either temperature-dependent or temperature-independent. The governing equations are derived using the principle of virtual work, which are then discretized using the IGA approach, whereby a C 2-continuity requirement is fulfilled naturally and efficiently. To trace the post-buckling paths, Newton's iterative technique is utilized. Various parametric studies are conducted to examine the influences of material variations, size effects, thickness ratios, and boundary conditions on the post-buckling behavior of microplates.

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Section: Modified Strain Gradient Theory (Mst)mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Post-buckling of functionally graded microplates under mechanical and thermal loads using isogeomertic analysis

Thai

et al. 2017

Engineering Structures

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“…By introducing the material length scale parameter l into the MCS theory established by Yang et al [39] and Hadjesfandiari and Dargush [50], one gets…”

Section: The Modified Couple Stress Theory (Mcst)mentioning

confidence: 99%

“…By applying the Timoshenko beam model, they extracted the dynamical equations including the impacts of thermal loading. Moreover, the thermoelastic damping (TED) of functionally graded microplates using the strain gradient hypothesis by incorporating the Mindlin theory was conducted by Emami and Alibeigloo [39].…”

Section: Introductionmentioning

confidence: 99%

Thermoelastic characteristics of moving viscoelastic nanobeams based on the nonlocal couple stress theory and dual-phase lag model

Abouelregal¹,

Sedighi²

2022

Phys. Scr.

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Thermal behavior of a moving viscoelastic nanobeam under the influence of periodic thermal load is considered in the ‎framework of Kelvin-Voigt viscoelastic model with fractional operators. The equation of motion for axially moving ‎nanobeam is modeled by employing the Eringen's nonlocal elastic theory in conjunction with the couple stress ‎hypothesis and the conventional Euler-Bernoulli beam model. The thermoelastic features is then established by ‎employing the generalized dual phase-lag heat conduction model. After utilizing the Laplace transform, the ‎thermomechanical equations are coupled and solved. The current results are validated by presenting numerical ‎examples and comparing with previous solutions obtained by traditional theories in the literature. According to the ‎provided numerical simulations, the deflection of the axially moving nanobeam as well as its temperature change ‎reduce with the axial velocity and the influences of small scale and nonlocal parameters are also revealed and ‎discussed.‎

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“…[46,47] presented studies on the behaviour of rectangular FG microplates resting on elastic foundation and circular/annular FG microplates. The thermoelastic damping of FG microplates was also investigated by Emami and Alibeigloo [48]. Study on the free vibration responses of FG quadrilateral microplates in thermal environment based on Mindlin plate model was conducted by Shenas and Malekzadeh [49].…”

Section: Mctmentioning

confidence: 99%

Size-dependant behaviour of functionally graded microplates based on the modified strain gradient elasticity theory and isogeometric analysis

Thai

et al. 2017

Computers & Structures

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This paper presents a robust numerical model, which takes into account both size-dependent and shear deformation effects, for the bending, buckling and free vibration analyses of functionally graded microplates. The size-dependent effect is captured by using the modified strain gradient elasticity theory with three length scale parameters, whilst the shear deformation effect is accounted by using the third-order shear deformation theory. The rule of mixture is employed to describe the distributions of material phrases through the plate thickness. By using Hamilton's principle, the governing equations are derived and then discretized by employing an Isogeometric Analysis (IGA) approach, where the Non-Uniform Rational B-Splines (NURBS) basis functions are adopted to meet the C 2 −continuity requirement. Physical mesh convergence and verification studies are performed to prove the accuracy and reliability of the present model. In addition, parametric studies are also carried out to investigate the size effect in conjunction with the influences of gradient index, shear deformation effect and boundary conditions on the responses of microplates.

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Thermoelastic damping analysis of FG Mindlin microplates using strain gradient theory

Cited by 11 publications

References 37 publications

Post-buckling of functionally graded microplates under mechanical and thermal loads using isogeomertic analysis

Post-buckling of functionally graded microplates under mechanical and thermal loads using isogeomertic analysis

Thermoelastic characteristics of moving viscoelastic nanobeams based on the nonlocal couple stress theory and dual-phase lag model

Size-dependant behaviour of functionally graded microplates based on the modified strain gradient elasticity theory and isogeometric analysis

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