New Nonpolynomial Shear-Deformation Theories for Structural Behavior of Laminated-Composite and Sandwich Plates

Grover, Neeraj; Singh, B.N.; Maiti, Dipak Kumar

doi:10.2514/1.j052399

Cited by 84 publications

(39 citation statements)

References 56 publications

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“…This can be accounted towards the fact that the stresses are derived quantities in the present displacement based formulation. A comparison of the present results with well known Reddy's theory (Reddy, 1984), hybrid theory of Mantari et al (2012), analytical solutions of SFSDT (Grover et al, 2013c), Fiedler et al (2010) and the exact solution (Pagano and Hatfield, 1972) is also shown in Table 1. The comparison of the results ensures the performance of the SFSDT for thick (a/h = 4), moderately thick (a/h = 10) and thin (a/h = 100) plates.…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

“…In the present work, the transverse normal after deformation is considered to be a function of thickness co-ordinate expressed in terms of a secant function based shear strain function (Grover et al, 2013c). Thus the hypothesis of straightness and normality is no longer valid as in case of CLPT and FSDT respectively.…”

Section: Displacement Fieldmentioning

confidence: 99%

“…The u 0 , v 0 , and w 0 are the mid plane (z=0) displacement components in x, y, and z direction respectively while θ x and θ y are the shear deformations. The parameter r is the shape parameter and its value is obtained as 0.1 in the post processing step by employing the inverse method (Grover et al, 2013c).…”

Section: Displacement Fieldmentioning

confidence: 99%

“…In view of the above, the improved structural kinematics of the laminated composite and sandwich plates is considered in terms of recently developed secant function based shear deformation theory (SFSDT) by the authors (Grover et al, 2013c). The theory possess non-linear shear stress distribution; satisfies the zero transverse shear conditions on top and bottom surfaces as a priori and therefore a shear correction factor is not required.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Flexural behavior of general laminated composite and sandwich plates using a secant function based shear deformation theory

Grover

Maiti

Singh

2014

Lat. Am. j. solids struct.

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A secant function based shear deformable finite element model is developed for the flexural behavior of laminated composite and sandwich plates with various conditions. The structural kinematics of the plate is expressed by means of secant function based shear deformation theory newly developed by the authors. The theory possesses non-linear shear deformation and also satisfies the zero transverse shear conditions on top and bottom surfaces of the plate. The field variables are elegantly utilized in order to ensure C 0 continuity requirement. Penalty parameter is implemented to secure the constraints arising due to independent field variables. A biquadratic quadrilateral element with eight nodes and 56 degrees of freedom is employed to discretize the domain. Extensive numerical tests for the flexural behavior of laminated composite and sandwich plates are conducted to affirm the validity of the present finite element model in conjunction with the improved structural kinematics. Influences of boundary conditions, loading conditions, lamination sequences, aspect ratio, span-thickness ratio, etc on the flexural behavior are investigated specifically and compared with the existing results in order to indicate the performance of the present mathematical treatment.

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Section: Numerical Results and Discussionmentioning

confidence: 99%

Section: Displacement Fieldmentioning

confidence: 99%

Section: Displacement Fieldmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Flexural behavior of general laminated composite and sandwich plates using a secant function based shear deformation theory

Grover

Maiti

Singh

2014

Lat. Am. j. solids struct.

Self Cite

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“…Due to continuous variation in material properties in a preferred direction the first and higher order shear deformation theory may be conveniently used in the analysis. Recently, several theories have been proposed by the researchers to study the vibration, bending and dynamic response of graded material plates notable among them are, [12,18,21,22,[30][31][32][33][34][35][36][37][38][39][40]42].…”

Section: Introductionmentioning

confidence: 99%

Stochastic vibration characteristics of finite element modelled functionally gradient plates

Talha

Singh

2015

Composite Structures

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Buckling analysis of hybrid fiber‐reinforced composite sandwich panels with varying numbers of polyurethane cores

Wang,

Qiao,

Song

et al. 2024

Polymer Composites

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Hybrid fiber‐reinforced composite sandwich panels with multi‐layer polyurethane cores are widely applied in aerospace, automotive, construction, and shipbuilding industries. This study aims to investigate the buckling performance of composite structures with varying numbers of polyurethane cores. To achieve this, the buckling loads of these structures are determined using an energy method, microscopic mechanics method, and the first‐order zigzag kinematic model. The accuracy of the equation employed in the algorithm is validated using the finite element method. Additionally, we conduct a parametric analysis to examine the influence of various parameters on the buckling performance of the structures. The results indicate that an effective strategy for improving the critical buckling loads of the hybrid fiber‐reinforced composite sandwich plate involves strategically placing fibers and matrix materials with higher elastic modulus on the skin layer. Moreover, the critical buckling load is notably influenced by the number and positioning of polyurethane layers, as well as the fiber content.Highlights An analytical model is established to predict the buckling behavior. The correctness of the model was verified using the finite element method. Effects of structural parameters on buckling performance were investigated.

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New Nonpolynomial Shear-Deformation Theories for Structural Behavior of Laminated-Composite and Sandwich Plates

Cited by 84 publications

References 56 publications

Flexural behavior of general laminated composite and sandwich plates using a secant function based shear deformation theory

Flexural behavior of general laminated composite and sandwich plates using a secant function based shear deformation theory

Stochastic vibration characteristics of finite element modelled functionally gradient plates

Buckling analysis of hybrid fiber‐reinforced composite sandwich panels with varying numbers of polyurethane cores

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