Three-Dimensional Free Vibration Analysis of Thermally Loaded FGM Sandwich Plates

Burlayenko, Vyacheslav N.; Sadowski, Tomasz; Dimitrova, Svetlana

doi:10.3390/ma12152377

Cited by 20 publications

(11 citation statements)

References 65 publications

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“…where the individual elements V k 1 # are specified by replacing k with k 1 in eqs. (38), thus by using the corresponding thickness h k 1 in eqs. (36) and the specific thermoelastic properties of the layer k 1, while the elementsṼ k # are associated with the k th plate.…”

Section: Recursive Field Solutions In Multilayered Platesmentioning

confidence: 99%

“…The corresponding field solutions in terms of displacements and temperature must therefore be obtained through the fully coupled equations of thermoelasticity. While relevant fully coupled thermo-mechanical models have been proposed in the open literature, these two-side coupling approaches have been applied to various semi-analytical and numerical problems with different balance among accuracy, efficiency and robustness, within which both temperature and displacement fields are primary variables in the governing and constitutive equations [27][28][29][30][31][32][33][34][35][36][37][38]. The present approach fits into the second category of fully coupled models applied to anisotropic multilayered materials in presence of structurally and thermally imperfect boundary conditions at internal interfaces.…”

Section: Introductionmentioning

confidence: 99%

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Free vibration of fully coupled thermoelastic multilayered composites with imperfect interfaces

Vattré

Pan

Chiaruttini

2021

Composite Structures

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A fully coupled thermoelastic framework is formulated to cope with the free vibration response of anisotropic multilayered plates in three dimensions. The laminated structure consists of homogeneous laminae of arbitrary thickness and width under simply supported edge conditions in thermal environment. The general and exact field expressions of the temperature, heat flux, displacement and stress components are expressed in terms of double Fourier series expansions in any rectangular plate, which lead to the extended Stroh formalism with thermomechanical coupling effects in a concise and compact matrix form. Different imperfect interface conditions are introduced to characterize specific structural and thermal contact properties at the bounding interfaces, and further to determine the finite complex valued coefficients in the suitable series relations. The complete time-harmonic solutions in the laminated composites in the presence of perfect/imperfect interfaces are recursively obtained by means of the modified dual variable and position technique with explicit layer-to-layer transfer matrices. Results are obtained for different layups, length-to-thickness ratios and interfacial boundary conditions for two application examples, namely the graphite/epoxy cross-ply composites and the thermal barrier coatings on superalloys, without suffering from numerical exponential instability. These investigations reveal that the natural frequencies and first and higher vibration mode shapes of the multilayered structures can be considerably affected by increasing the environmental temperature and the severity of the interfacial imperfections. Since the through-thickness stress distribution in 2, 5, and 10 layered composites appears to be strongly correlated to the layups, such modal stress analysis could be exploited to locate the fatigue hotspots operated in dynamic structures and to guide the structural design of aircraft and spacecraft composite laminates subjected to residual vibrations.

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Section: Recursive Field Solutions In Multilayered Platesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Free vibration of fully coupled thermoelastic multilayered composites with imperfect interfaces

Vattré

Pan

Chiaruttini

2021

Composite Structures

View full text Add to dashboard Cite

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“…So that the thermal resistance can be defined as Rth=LλS where λ is the thermal conductivity. The Fourier law of heat conduction indicates that the heat flux is proportional to the temperature gradient [29], which could be expressed as Qx=−λ∂T∂x where Qx is the heat flux per unit time vertically through unit area. The heat flux generated in the silicon layer dissipates through silicon film by the collisions between ions and the phonon movement and can be defined as Qx=−13CVυ¯2τdTdx where CV is the phonon specific heat per unit volume.…”

Section: Thermal Conductivity Model Derived With Shesmentioning

confidence: 99%

Study on the Thermal Conductivity Characteristics for Ultra-Thin Body FD SOI MOSFETs Based on Phonon Scattering Mechanisms

Zhang

Lai

et al. 2019

Materials

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The silicon-on-insulator (SOI) metal-oxide-semiconductor field-effect transistors (MOSFETs) suffer intensive self-heating effects due to the reduced thermal conductivity of the silicon layer while the feature sizes of devices scale down to the nanometer regime. In this work, analytical models of thermal conductivity considering the self-heating effect (SHE) in ultra-thin body fully depleted (UTB-FD) SOI MOSFETs are presented to investigate the influences of impurity, free and bound electrons, and boundary reflection effects on heat diffusion mechanisms. The thermal conductivities of thin silicon films with different parameters, including temperature, depth, thickness and doping concentration, are discussed in detail. The results show that the thermal dissipation associated with the impurity, the free and bound electrons, and especially the boundary reflection effects varying with position due to phonon scattering, greatly suppressed the heat loss ability of the nanoscale ultra-thin silicon film. The predictive power of the thermal conductivity model is enhanced for devices with sub-10-nm thickness and a heavily doped silicon layer while considering the boundary scattering contribution. The absence of the impurity, the electron or the boundary scattering leads to the unreliability in the model prediction with a small coefficient of determination.

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“…The natural frequencies of the fixed-free beam can be obtained substituting these boundary conditions into Eq. (34). A characteristic equation for this configuration of beam is obtained as:…”

Section: For Non-uniform Cross-section Sandwich Beamsmentioning

confidence: 99%

Dynamic Analysis of Uniform and Non-Uniform Cross-Section Cantilever Sandwich Beams

Hüseyinoğlu

ŞEN

Yiğid

et al. 2019

European Journal of Technic

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In this study, an analytical solution for dynamic analysis of uniform and nonuniform cross-section cantilever sandwich beam is presented. The sandwich beam was assumed to be an Euler-Bernoulli beam and formed with a thin core and two thin skin layers. So the shear deformations and rotational effects were neglected. The equivalent flexural rigidity was obtained for the entire sandwich structure. Some implementations for the solution method are given and the results are compared with numerical solutions. The usability of the Euler-Bernoulli Beam Theory for thin layered uniform or non-uniform sandwich beams is investigated. The solutions obtained from analytical and numerical solutions are in good agreement.

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Three-Dimensional Free Vibration Analysis of Thermally Loaded FGM Sandwich Plates

Cited by 20 publications

References 65 publications

Free vibration of fully coupled thermoelastic multilayered composites with imperfect interfaces

Free vibration of fully coupled thermoelastic multilayered composites with imperfect interfaces

Study on the Thermal Conductivity Characteristics for Ultra-Thin Body FD SOI MOSFETs Based on Phonon Scattering Mechanisms

Dynamic Analysis of Uniform and Non-Uniform Cross-Section Cantilever Sandwich Beams

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