Equivalent single-layer models in deformation analysis of laminated multilayered plates

Kreja, Ireneusz; Sabik, Agnieszka

doi:10.1007/s00707-019-02434-7

Cited by 19 publications

(6 citation statements)

References 52 publications

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“…Since thin PET diaphragms are usually transparent, it is necessary to coat a certain thickness of metal reflector on the diaphragm to increase its optical reflectivity. Considering the effect of the metal reflector on the mechanical response of the diaphragm, PET diaphragms coated with different thicknesses of metal reflector were simulated using the equivalent single layer theory [ 31 ]. In this simulation, the metal reflector used is gold, and its density is 19,300 kg/m 3 .…”

Section: Principle and Designmentioning

confidence: 99%

A Grating Interferometric Acoustic Sensor Based on a Flexible Polymer Diaphragm

Xiong,

2023

Sensors

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This study presents a grating interferometric acoustic sensor based on a flexible polymer diaphragm. A flexible-diaphragm acoustic sensor based on grating interferometry (GI) is proposed through design, fabrication and experimental demonstration. A gold-coated polyethylene terephthalate diaphragm was used for the sensor prototype. The vibration of the diaphragm induces a change in GI cavity length, which is converted into an electrical signal by the photodetector. The experimental results show that the sensor prototype has a flat frequency response in the voice frequency band and the minimum detectable sound pressure can reach 164.8 µPa/√Hz. The sensor prototype has potential applications in speech acquisition and the measurement of water content in oil. This study provides a reference for the design of optical interferometric acoustic sensor with high performance.

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Section: Principle and Designmentioning

confidence: 99%

A Grating Interferometric Acoustic Sensor Based on a Flexible Polymer Diaphragm

Xiong,

2023

Sensors

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“…where the symbols of double summations will be omitted in the later work of this paper for brevity. Substituting Equations (13) and (14) in (10), the authors can obtain…”

Section: Heat Conduction Analysismentioning

confidence: 99%

“…The above-mentioned theories can be categorized as the two-dimensional (2D) equivalent single layer theories (ESLTs) based on the principle of virtual displacements (PVD), rather than the Reissner mixed variational theorem (RMVT). In addition, Kreja and Sabik [10] evaluated the performance of some selected ESLTs by comparing their solutions with several benchmark solutions for the static problems of multilayered plates.…”

Section: Introductionmentioning

confidence: 99%

Thermoelastic Stress and Deformation Analyses of Functionally Graded Doubly Curved Shells

Wu¹,

He²

2019

J. Compos. Sci.

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In this paper, the authors develop Reissner’s mixed variational theorem (RMVT)-based finite layer methods for the three-dimensional (3D) coupled thermoelastic analysis of simply supported, functionally graded, doubly curved (DC) shells with temperature-independent material properties. A two-phase composite material is considered to form the shell, and its material properties are assumed to obey a power–law distribution of the volume fractions of the constituents through the thickness direction of the shell. The effective material properties are estimated using the Mori–Tanaka scheme. The accuracy and convergence rate of these RMVT-based finite layer methods are validated by comparing their solutions with the quasi 3D and accurate two-dimensional solutions available in the literature.

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“…Based on the previous examples, the standard RZT has demonstrated to be very accurate for cross-ply laminated and sandwich plates. Recently, Kreja and Sabik [34] showed that it is not possible to study multilayered angle-ply plates in which two adjacent layers have alternating orientations but the same absolute value. Due to the derivation of zigzag functions in the standard RZT for these lamination schemes, the slope of zigzag functions is constant for each layer and, in order to satisfy the null value for these functions at the external surfaces, it results in that they are constant and null through-the-thickness.…”

Section: Introductionmentioning

confidence: 99%

“…In order to overcome the drawback of the standard RZT for some lay-ups highlighted by Kreja and Sabik [34] and to implement a further mathematical tool for the study of general laminates, Sorrenti and Di Sciuva [42] reformulated the standard Refined Zigzag Theory by introducing new zigzag functions in the local contribution. The newly developed model, named the enhanced RZT (en-RZT), has shown excellent predictive capabilities in [42] for the bending response of angle-ply multilayered laminate plates.…”

Section: Introductionmentioning

confidence: 99%

Buckling analysis of angle-ply multilayered and sandwich plates using the enhanced Refined Zigzag Theory

Sciuva¹,

Gherlone²,

Sorrenti³

2022

PEAS

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The recent enhancement of the standard Refined Zigzag Theory (RZT), herein named the enhanced Refined Zigzag Theory (en-RZT), has extended the range of applicability of the RZT to angle-ply multilayered and sandwich plates. The aim of the present investigation is to assess the numerical performances of the en-RZT for the buckling analysis of angle-ply multilayered and sandwich rectangular plates under in-plane normal loads. The linearized stability equations are obtained using the Ritz method in conjunction with the principle of virtual work, by means of Gram-Schmidt orthogonal polynomials. In order to assess the accuracy of the en-RZT, buckling loads of angle-ply laminated and sandwich plates are evaluated and compared with the numerical results available in open literature. The numerical investigation highlights the high accuracy of the en-RZT in predicting buckling loads. The study contains a parametric analysis aimed to investigate the influence of various design parameters, such as plate aspect ratio, thickness, lamina orientations, in-plane load combinations and boundary conditions on the buckling loads.

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Equivalent single-layer models in deformation analysis of laminated multilayered plates

Cited by 19 publications

References 52 publications

A Grating Interferometric Acoustic Sensor Based on a Flexible Polymer Diaphragm

A Grating Interferometric Acoustic Sensor Based on a Flexible Polymer Diaphragm

Thermoelastic Stress and Deformation Analyses of Functionally Graded Doubly Curved Shells

Buckling analysis of angle-ply multilayered and sandwich plates using the enhanced Refined Zigzag Theory

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