A Mixed Finite Element for the Nonlinear Bending Analysis of Laminated Composite Plates Based on FSDT

Urthaler, Yetzirah; Reddy, J. N.

doi:10.1080/15376490802045671

Cited by 51 publications

(12 citation statements)

References 45 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Firstly, the benchmark problems with the experimental results of Zaghloul and Kenedy are studied for validating the present method. Figure 3 reveals comparison between the present solutions based on the HSDT model with others according to CPT [41], FSDT [36] and the experimental results [41]. Figure 3a Next, the effect of span to thickness ratio on the central deflection of the symmetric laminated composite plates is revealed in Table 3 and Table 4.…”

Section: Symmetric Laminated Platesmentioning

confidence: 79%

“…(33) is repeated until the displacement error between two consecutive iterations reduces to the desired error tolerance. (36)…”

Section: Iteration Methodsmentioning

confidence: 99%

“…Let us consider a clamped square thin plate under a uniformly distributed load. This is a benchmark problem which is often tested by many researchers [31,35,36] for the geometrically nonlinear validation of thin plate formulation. Table 1 provides the results for central deflection w and axial stress (0,0, / 2)…”

Section: Isotropic Platesmentioning

confidence: 99%

See 2 more Smart Citations

Geometrically nonlinear isogeometric analysis of laminated composite plates based on higher-order shear deformation theory

Tran

Lee

Nguyen‐Van

et al. 2015

International Journal of Non-Linear Mechanics

View full text Add to dashboard Cite

In this paper, we present an effectively numerical approach based on isogeometric analysis (IGA) and higher-order shear deformation theory (HSDT) for geometrically nonlinear analysis of laminated composite plates. The HSDT allows us to approximate displacement field that ensures by itself the realistic shear strain energy part without shear correction factors. IGA utilizing basis functions namely B-splines or non-uniform rational B-splines (NURBS) enables to satisfy easily the stringent continuity requirement of the HSDT model without any additional variables. The nonlinearity of the plates is formed in the total Lagrange approach based on the von-Karman strain assumptions. Numerous numerical validations for the isotropic, orthotropic, cross-ply and angle-ply laminated plates are provided to demonstrate the effectiveness of the proposed method.

show abstract

Section: Symmetric Laminated Platesmentioning

confidence: 79%

“…(33) is repeated until the displacement error between two consecutive iterations reduces to the desired error tolerance. (36)…”

Section: Iteration Methodsmentioning

confidence: 99%

See 1 more Smart Citation

Geometrically nonlinear isogeometric analysis of laminated composite plates based on higher-order shear deformation theory

Tran

Lee

Nguyen‐Van

et al. 2015

International Journal of Non-Linear Mechanics

View full text Add to dashboard Cite

show abstract

“…Based on the Reddy's first-order shear deformation (or the Timoshenko beam) theory [45], the displacement field in a beam under transverse loads and in the absence of in-plane forces (u 0 = 0) can be written as:…”

Section: Functionally-graded Timoshenko Beam Formulationsmentioning

confidence: 99%

Functionally graded carbon nanofiber/phenolic nanocomposites and their mechanical properties

Bafekrpour

Yang

Natali

et al. 2013

Composites Part A: Applied Science and Manufacturing

View full text Add to dashboard Cite

“…In order to take into account the larger shear deformation, in addition to Classical Lamination Theory (CLT), many modified lamination plate theories are proposed [23][24][25][26][27]. Some studies concerning the large deflection analysis of laminated composite plates in von-Kármán sense have been carried out in the literature [28][29][30][31][32][33][34][35][36][37][38][39][40].…”

Section: Introductionmentioning

confidence: 99%

Accuracy of Strain Solution of a Laminated Composite Plate via Galerkin's Method

Mecitoğlu

Kazancı

Balkan

2014

International Journal of Nonlinear Sciences and Numerical Simulation

View full text Add to dashboard Cite

This paper deals with the detailed analysis and discussion of nonlinear static analysis of a laminated composite plate subjected to uniform pressure load. Governing equations of the plate are derived by the use of the virtual work principle. The geometric nonlinearity effects are taken into account with the von Kármán large deflection theory of thin plates. Approximate solutions for a simply supported plate are assumed for the plate domain. The single term approximation functions are selected by considering the nonlinear static deformations of plate. The solution is obtained using the Newmark method in MATLAB software. The plate is also modeled and analyzed using ANSYS software using SHELL91 elements. The variation of membrane, linear and nonlinear bending terms are obtained along a characteristic line on the plate and the numerical and finite element results are compared. The results are discussed in detail considering the nonlinear static behavior of the laminated composite plate and the main reasons of discrepancies are discussed. Dynamic behavior of the plate is explained considering the nonlinear static behavior.

show abstract

A Mixed Finite Element for the Nonlinear Bending Analysis of Laminated Composite Plates Based on FSDT

Cited by 51 publications

References 45 publications

Geometrically nonlinear isogeometric analysis of laminated composite plates based on higher-order shear deformation theory

Geometrically nonlinear isogeometric analysis of laminated composite plates based on higher-order shear deformation theory

Functionally graded carbon nanofiber/phenolic nanocomposites and their mechanical properties

Accuracy of Strain Solution of a Laminated Composite Plate via Galerkin's Method

Contact Info

Product

Resources

About