Analytical buckling response of sectorial porous plates integrated with piezoelectric layers

Gughari, M. Sadeghi; Saidi, A.; Rezaei, A.S.; Askari, Majid; Naderi, A.

doi:10.1016/j.apm.2021.09.019

Cited by 11 publications

(4 citation statements)

References 35 publications

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“…Inserting Equations ( 13), (16), and (35) into Equation (41), results in the element stiffness matrix, which is shown as…”

Section: The Element Stiffness Matrixmentioning

confidence: 99%

“…Selim et al 40 performed dynamic control of piezoelectric composite plates reinforced by graphene. Gughari et al 41 examined the stability of piezoelectric sectorial porous plates. Alibeigloo and Madoliat 42 studied the static behavior of composite plates with piezoelectric layers using differential quadrature method and Fourier series approach.…”

Section: Introductionmentioning

confidence: 99%

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Buckling analysis of composite plates surface bonded with graphene‐reinforced piezoelectric actuators

Jin,

Leng,

Yang

2023

Polymer Composites

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Graphene is a highly conductive and exceptional material that has shown potential for significantly improving the piezoelectric and mechanical properties of piezoelectric matrix. This paper examines the stability of composite plates surface bonded with graphene‐reinforced composite piezoelectric (GRCP) actuators. However, the significant differences in material characteristics at the interfaces will pose some challenges in analyzing the buckling behavior of piezoelectric composite plates by means of existing higher‐order shear deformation theories. To address this issue, a refined plate theory is developed for the buckling analysis of piezoelectric composite plates. The developed theory includes a new interlaminar shear stress field that precisely describes the distribution of interlaminar shear stresses, which differs from earlier higher‐order theories. It should be emphasized that the finite element formulation can be simplified by removing the second‐order derivatives of in‐plane displacement parameters from interlaminar shear stresses. In terms of the developed theory, a four‐node C0 quadrilateral plate element is introduced to examine the buckling behavior of piezoelectric composite plates. Furthermore, the modified interlaminar shear stress field is absorbed into the strain energy, significantly improving the ability to predict the critical loads of composite plates with GRCP actuators. The refined plate model is evaluated through the utilization of three‐dimensional (3D) elasticity solutions and results obtained from other associated theories. Numerical results demonstrate that the refined plate model is capable of producing favorable results, and a comprehensive examination is conducted to analyze the effects of significant parameters on the buckling behaviors of piezoelectric composite plates. This study sets a solid foundation for future research and development on the application of graphene‐reinforced composite piezoelectric actuators in composite structures.Highlights Buckling analysis of composite plates with GRCP actuators is conducted. A refined plate theory with modified interlaminar shear stresses is developed. The ability to predict critical loads can be significantly improved. The finite element formulation can be simplified based on the proposed model. Comprehensive parametric studies on buckling behavior are caried out.

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“…Inserting Equations ( 13), (16), and (35) into Equation (41), results in the element stiffness matrix, which is shown as…”

Section: The Element Stiffness Matrixmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Buckling analysis of composite plates surface bonded with graphene‐reinforced piezoelectric actuators

Jin,

Leng,

Yang

2023

Polymer Composites

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“…The four side simply supported PLCP is subjected to constant voltage V in z direction and uniformly distributed longitudinal in-plane loads F x and F y in x and y directions as shown in figure 5. The material properties of the matrix layer and piezoelectric plates are shown in tables 2 and 3, and the parameters of this case are shown in table 9.…”

Section: Plcp Under Electrical and Mechanical Loadmentioning

confidence: 99%

“…Momeni and Fallah [8] proposed a meshfree finite volume approach to actively control the vibration of temperature-dependent piezoelectric laminated composite plates (PLCPs), and they obtained the approximation field variables with the moving least square shape functions. Gughari et al [9] obtained the governing equations of the sandwich plate under uniform in-plane mechanical loading by taking the Mindlin plate theory and von Karman assumptions into account. Josha et al [10] presented a non-polynomial coupled plate theory for smart composite structures employing inverse hyperbolic displacement and electric potential functions.…”

Section: Introductionmentioning

confidence: 99%

The buckling performance of a piezoelectric laminated composite plate via static method

Mao,

Liu,

Zhou

et al. 2023

Funct. Compos. Struct.

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Piezoelectric materials are widely used as actuators, due to the advantages of quick response, high sensitivity and linear strain-electric field relationship. The previous work on the piezoelectric material plate structures are not enough, however such structures play a very important role in the practical design. In this paper, the buckling performance of piezoelectric laminated composite plate (PLCP) is analyzed based on static method to parametric study the buckling control. The stress components of the matrix layer are formulated based on electro-mechanical coupling theory and Kirchhoff’s classical laminated plate theory. Buckling differential governing equation of PLCP is obtained by using the equilibrium conditions. The solution of the governing equation is assumed as a sum of a series of trigonometric shape functions, and then its expression is obtained by using static method. The effectiveness of the developed method is validated by the comparison with finite element method. Especially, the developed method can be used for engineering applications more easily, and it does not require to rebuild the calculation model as finite element method during the calculation and analysis of PLCP. The buckling performance of PLCP and its influencing factors are numerically analyzed through the developed method. The buckling performance of PLCP is reasonably increased by parametric studying different loads, laying angle, laying sequence, height of the matrix plate, and layer size. This paper is a valuable reference for the design and analysis of PLCP.

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Coupled horizontal and rocking vibrations of a rigid circular disc on the surface of a transversely isotropic and layered poroelastic half‐space

Zhang

Pan²

2023

Applied Mathematical Modelling

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Analytical buckling response of sectorial porous plates integrated with piezoelectric layers

Cited by 11 publications

References 35 publications

Buckling analysis of composite plates surface bonded with graphene‐reinforced piezoelectric actuators

Buckling analysis of composite plates surface bonded with graphene‐reinforced piezoelectric actuators

The buckling performance of a piezoelectric laminated composite plate via static method

Coupled horizontal and rocking vibrations of a rigid circular disc on the surface of a transversely isotropic and layered poroelastic half‐space

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