Bending and vibration of one-dimensional hexagonal quasicrystal layered plates with imperfect interface

Wang, H. T.; Guo, Junhong; Jiang, Xuerong; Gao, Muyu

doi:10.1007/s00707-022-03318-z

Cited by 7 publications

(2 citation statements)

References 45 publications

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“…In other words, GPLs greatly enhance the MSP FF. Wang et al [292] explored the dynamic performance (FV and forced vibration) as well as bending deformation of the plats shown in Fig. 21 and subjected to SSSS BCs, analytically through implementing pseudo-Stroh formulism (PSF) and propagation matrix method (PMM).…”

Section: Analytical Solution Without Considering the Sdementioning

confidence: 99%

“…Zhai et al [293] presented an analytical solution by utilizing the NvS to investigate the FV as well as the buckling Fig. 21 The schematics of a N-layer QC plate with the imperfect interfaces & b the QC coated with aluminum based CP structure with the imperfect interfaces [292] behaviors of composite sandwich plates subjected to a TE, and the HP has been used to drive the EOM. It has been seen that increasing the aspect ratio (a/h) cause to reduce the NF subjected to various temperatures; in other words, thicker plates exceed higher FF compared with thin plates.…”

Section: Analytical Solution Without Considering the Sdementioning

confidence: 99%

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Computational Linear and Nonlinear Free Vibration Analyses of Micro/Nanoscale Composite Plate-Type Structures With/Without Considering Size Dependency Effect: A Comprehensive Review

Al Mahmoud,

Safaei,

Sahmani

et al. 2024

Arch Computat Methods Eng

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Recently, the mechanical performance of various mechanical, electrical, and civil structures, including static and dynamic analysis, has been widely studied. Due to the neuroma's advanced technology in various engineering fields and applications, developing small-size structures has become highly demanded for several structural geometries. One of the most important is the nano/micro-plate structure. However, the essential nature of highly lightweight material with extraordinary mechanical, electrical, physical, and material characterizations makes researchers more interested in developing composite/laminated-composite-plate structures. To comprehend the dynamical behavior, precisely the linear/nonlinear-free vibrational responses, and to represent the enhancement of several parameters such as nonlocal, geometry, boundary condition parameters, etc., on the free vibrational performance at nano/micro scale size, it is revealed that to employ all various parameters into various mathematical equations and to solve the defined governing equations by analytical, numerical, high order, and mixed solutions. Thus, the presented literature review is considered the first work focused on investigating the linear/nonlinear free vibrational behavior of plates on a small scale and the impact of various parameters on both dimensional/dimensionless natural/fundamental frequency and Eigen-value. The literature is classified based on solution type and with/without considering the size dependency effect. As a key finding, most research in the literature implemented analytical or numerical solutions. The drawback of classical plate theory can be overcome by utilizing and developing the elasticity theories. The nonlocality, weight fraction of porosity, or the reinforcements, and its distribution type of elastic foundation significantly influence the frequencies.

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Section: Analytical Solution Without Considering the Sdementioning

confidence: 99%

Section: Analytical Solution Without Considering the Sdementioning

confidence: 99%

Computational Linear and Nonlinear Free Vibration Analyses of Micro/Nanoscale Composite Plate-Type Structures With/Without Considering Size Dependency Effect: A Comprehensive Review

Al Mahmoud,

Safaei,

Sahmani

et al. 2024

Arch Computat Methods Eng

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New analytical model for multi-layered composite plates with imperfect interfaces under thermomechanical loading

Shaat,

Gao,

Battentier

et al. 2024

Acta Mech

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A new analytical model for thermoelastic responses of a multi-layered composite plate with imperfect interfaces is developed. The composite plate contains an arbitrary number of layers of dissimilar materials and is subjected to general mechanical loads (both distributed internally and applied on edges for each layer) and temperature changes, which can vary from layer to layer and along two in-plane directions. Each layer is regarded as a Kirchhoff plate, and each imperfect interface is described using a spring-layer interface model, which can capture discontinuities in the displacement and stress fields across the interface. Unlike existing models, the governing equations and boundary conditions are simultaneously derived for each layer by using a variational procedure based on the first and second laws of thermodynamics, which are then combined to obtain the global equilibrium equations and boundary conditions for the multi-layered composite plate. A general analytical solution is developed for a symmetrically loaded composite square plate with an arbitrary number of layers and imperfect interfaces by using a new approach that first determines the interfacial normal and shear stress components on one interface. Closed-form solutions for two- and three-layer composite square plates are obtained as examples by directly applying the general analytical solution. Numerical results for two-, three- and five-layer composite plates under different loading and boundary conditions predicted by the current model are provided, which compare well with those obtained from finite element simulations using COMSOL, thereby validating the newly developed analytical model.

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Multiphysics modeling and analysis of laminated composites with interfacial imperfections in thermal environments

Vattré

2023

J Mater Sci

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Bending and vibration of one-dimensional hexagonal quasicrystal layered plates with imperfect interface

Cited by 7 publications

References 45 publications

Computational Linear and Nonlinear Free Vibration Analyses of Micro/Nanoscale Composite Plate-Type Structures With/Without Considering Size Dependency Effect: A Comprehensive Review

Computational Linear and Nonlinear Free Vibration Analyses of Micro/Nanoscale Composite Plate-Type Structures With/Without Considering Size Dependency Effect: A Comprehensive Review

New analytical model for multi-layered composite plates with imperfect interfaces under thermomechanical loading

Multiphysics modeling and analysis of laminated composites with interfacial imperfections in thermal environments

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