Flexural analysis of cross-ply laminated plates subjected to nonlinear thermal and mechanical loadings

Ghugal, Yuwaraj M.; Kulkarni, S. K.

doi:10.1007/s00707-012-0774-1

Cited by 15 publications

(6 citation statements)

References 26 publications

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“…The MFC integrated plate structure can be treated as a laminated plate attached to MFC. TSDT are adopted by the [33,34] to obtain that the deflection and axial displacement in the xy plane of the plate structure is almost equal to that of the plate structure obtained by CPT, so CPT is adopted to obtain the plate structure curvature and axial strain [17], which is then substituted into the axial displacement formula of TSDT (4) to provide the strains ε px,c and ε py,c along the x and y axes at the midcourt line on the upper surface of the MFC:…”

Section: Mfc Actuating Force Formula Based On Tsdtmentioning

confidence: 99%

Research on actuation performance of macro fiber composites based on third order shear deformation theory

Tu¹,

Zhang²,

Zhao³

et al. 2019

Smart Mater. Struct.

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Macro fiber composite (MFC) is a new type of high-performance smart piezoelectric material with an ultrathin section, which is used to decrease vibration and the noise of plate and shell structures due to high output and good flexibility. At present, the classical plate theory (CPT) has been adopted to study actuation performance of MFC. It does not consider shear deformation of an MFC integrated plate structure and cannot obtain the actuation force distribution of MFC, so that the accurate exerting position of the actuation force cannot be obtained. To solve this problem, this paper proposes that the third order shear deformation theory (TSDT) should be used to deduce the MFC actuation force formula which considers shear deformation of the MFC integrated plate structure and introduces a local displacement distribution function to ensure that the adhered interface between the MFC and the plate satisfy deformation compatibility and stress balance. Consider the end displacement calculation of an MFC integrated beam structure, for example. The comparison among the MFC actuation force formula based on TSDT, the MFC actuation force formula based on CPT, and the MFC integrated beam experiment indicates that the first can obtain higher calculation accuracy. On the basis of studying the MFC actuation force formula, the actuation simulation calculation of the plate by MFC is performed through making MFC equivalent to the actuation force and bending moment acting on plate structure to carry out the actuation experiment of an MFC integrated plate structure under the actuation of harmonic voltage of different amplitude values. The result shows that the experiment well matches the acceleration time history of simulation.

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Section: Mfc Actuating Force Formula Based On Tsdtmentioning

confidence: 99%

Research on actuation performance of macro fiber composites based on third order shear deformation theory

Tu¹,

Zhang²,

Zhao³

et al. 2019

Smart Mater. Struct.

View full text Add to dashboard Cite

show abstract

“…The actuating force caused by the deformations will be transmitted through the layer sticking up between the MFC and the plate. To consider the influence of the shear deformation of the MFC laminated plate on the MFC actuating force, SSDT [32] is adopted to deduce the MFC actuating force formula. Considering that differences exist in material parameters between the MFC and the plate, deformation compatibility and stress balance should be ensured between them, global-local displacement distribution functions are introduced to establish the stress balance equation of MFC laminated plate, and then, according to the equal shear force between the MFC and the plate, the system of stress partial differential equations is simplified and solved to obtain the interfacial shear force between the MFC and the plate structure and the actuating force and actuating bending moment of the MFC.…”

Section: The Actuating Equation Of An Mfc Laminated Plate Structurementioning

confidence: 99%

“…According to Equations (25), (26) and (30), ε px,c , ε py,c , ε px,e and ε py,e all include an influence of the piezoelectric effect in the directions of the x and y axes, and the magnitude of the interfacial shear stress τ x and τ y is related to the piezoelectric effect in the directions of the x and y axes. According to Equations (32) and (34), the total actuating forces T x and T y of the MFC at the center of the MFC laminated plate structure can be obtained:…”

Section: The Actuating Equation Of An Mfc Laminated Plate Structurementioning

confidence: 99%

Modeling on Actuation Behavior of Macro-Fiber Composite Laminated Structures Based on Sinusoidal Shear Deformation Theory

Zhang

et al. 2019

Applied Sciences

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A new piezoelectric composite, macro fiber composite (MFC) is recombined with piezoceramic fibers, an epoxy resin basal body, and an interdigitated electrode. It has been widely applied in vibration reduction and deformation control of thin-walled structures, due to its great deformability and flexibility. Research on its actuation performance is mostly concentrated on the MFC actuating force calculation based on classical plate theory (CPT), and the overall modeling of MFC and its structure. However, they have some deficiencies in the tedious calculating process and neglect of shear deformation, respectively. To obtain a precise MFC actuating force, the sinusoidal shear deformation theory (SSDT) is adopted to deduce the MFC actuating force formula, and global–local displacement distribution functions are introduced to help the MFC laminated plate structure satisfy the deformation compatibility and stress balance. For instance, in the end displacement calculation of the MFC laminated beam structure. The experimental result of the MFC laminated beam is compared with those of the MFC actuating force based on SSDT and on CPT, which indicates that the MFC actuating force formula based on SSDT can reach higher computational accuracy.

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“…Mechab et al [43] developed a new trigonometric shear deformation theory for the thermo-mechanical analysis of laminated composite plates. Ghugal and Kulkarni [44][45][46][47] have applied trigonometric shear deformation theory (TSDT) for the thermal analysis of cross-ply laminated plates. A higherorder shear deformation theory with Taylor series-type expansion in the thickness direction for the displacements has been developed by Kant and Khare [48] for composite and sandwich plates under thermal loading.…”

Section: Introductionmentioning

confidence: 99%

A Four-Variable Plate Theory for Thermoelastic Bending Analysis of Laminated Composite Plates

Sayyad

Ghugal²,

Mhaske

2015

Journal of Thermal Stresses

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In this article, the thermoelastic bending analysis of laminated composite plates subjected to thermal load linear across the thickness using the four variable refined plate theory is presented. The theory involves four unknown variables, as against five in case of other higher-order theories and first-order shear deformation theory. The theory gives rise to transverse shear stress variation such that the transverse shear stresses vary parabolically across the thickness satisfying shear stress free conditions at top and bottom surfaces of the plate. The theory does not require problem-dependent shear correction factors that are associated with the first-order shear deformation theory. The principle of virtual work is used to obtain variationally consistent governing equations and boundary conditions. The simply supported laminated composite plates are considered for the detail numerical study. A closed-form solution is obtained using the double trigonometric series technique suggested by Navier. The numerical results for thermal displacements and stresses of laminated composite plates are obtained and compared with those of other refined theories and exact solutions wherever applicable to assess the efficiency of the present theory. From the numerical results it is observed that since plate is subjected to pure thermal load and not subjected to transverse mechanical load, the present theory has strong similarity with classical plate theory in many aspects.

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Flexural analysis of cross-ply laminated plates subjected to nonlinear thermal and mechanical loadings

Cited by 15 publications

References 26 publications

Research on actuation performance of macro fiber composites based on third order shear deformation theory

Research on actuation performance of macro fiber composites based on third order shear deformation theory

Modeling on Actuation Behavior of Macro-Fiber Composite Laminated Structures Based on Sinusoidal Shear Deformation Theory

A Four-Variable Plate Theory for Thermoelastic Bending Analysis of Laminated Composite Plates

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