A new plate bending element based on higher-order shear deformation theory for the analysis of composite plates

Sheikh, Abdul Hamid; Chakrabarti, Anupam

doi:10.1016/s0168-874x(02)00137-3

Cited by 112 publications

(55 citation statements)

References 20 publications

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“…In the first-order shear deformation theory (FSDT) a shear correction factor is used to compensate for the assumed uniform transverse shear strain variations over the entire plate thickness. For a better representation of the transverse shear deformations, various higher-order shear deformation (HSDT) plate theories [5,15,16,30,36] were proposed. However, it has been observed and mentioned by many researchers [3] that increasing the number of terms in the in-plane displacement components does not improve the results and it is required to add the effect of inter-laminar transverse shear stress continuity in a multilayered composite plate problem.…”

Section: Introductionmentioning

confidence: 99%

Buckling analysis of laminated composite plates using an efficient C0 FE model

Singh

Chakrabarti

2012

Lat. Am. j. solids struct.

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Buckling analysis of laminated composite plates is carried out by using an efficient C 0 FE model developed based on higher order zigzag theory. In this model the first derivatives of transverse displacement have been treated as independent variables to overcome the problem of C 1 continuity associated with the FE implementation of the plate theory. The C 0 continuity of the present FE model is compensated in the stiffness matrix calculations by using penalty parameter approach. Numerical results and comparison with other existing solutions show that the present model is very efficient in predicting the buckling responses of laminated composites.

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Section: Introductionmentioning

confidence: 99%

Buckling analysis of laminated composite plates using an efficient C0 FE model

Singh

Chakrabarti

2012

Lat. Am. j. solids struct.

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“…These rectangular elements are quite simple but cannot be used in a plate where curved boundaries and shapes other than rectangular exist. To overcome this limitation, Sheikh and Chakrabarti [13] have recently developed a nonconforming six-node triangular element with forty two degrees of freedom. A C 0 continuous mixed element based on the Reddy's theory has been developed by Putcha and Reddy [9] with 11 degrees of freedom per node.…”

Section: Introductionmentioning

confidence: 99%

A new discrete Kirchhoff quadrilateral element based on the third-order theory for composite plates

Kulkarni

Kapuria

2005

Comput Mech

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A new discrete Kirchhoff quadrilateral element based on the refined third-order theory is developed for the analysis of composite plates. The element has seven degrees of freedom per node, namely, the three displacements, two rotations and two transverse shear strain components at the mid-surface. The inplane displacements and the shear strains are interpolated using bilinear interpolation functions and the mid-surface rotations are interpolated using bi-quadratic functions based on the discrete Kirchhoff technique. The element stiffness matrix and the consistent load vector are developed using the principle of virtual work. The finite element formulation is validated by comparing the results for simplysupported plate with the analytical Navier solution. Comparison of the present results with those using other available elements based on the TOT establishes the superiority of the present element in respect of simplicity, accuracy and computational efficiency. The element is free from shear locking.

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“…The same plate is then subjected to UDL and maximum transverse deflection is evaluated for the plate with various span-thickness ratios (a/h = 2, 4, 20, 20, 50, and 100). The obtained results are compared in Table 3 with the results obtained by Sheikh and Chakrabarti (2003), Reddy (1984), and Ghosh and Dey (1990). The comparison shows the applicability of SFSDT for the bending behavior of laminated plates subjected to UDL.…”

Section: Influence Of Loading Conditionsmentioning

confidence: 90%

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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A new plate bending element based on higher-order shear deformation theory for the analysis of composite plates

Cited by 112 publications

References 20 publications

Buckling analysis of laminated composite plates using an efficient C0 FE model

Buckling analysis of laminated composite plates using an efficient C0 FE model

A new discrete Kirchhoff quadrilateral element based on the third-order theory for composite plates

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

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