Free-edge stresses in general composite laminates

Nosier, A.; Maleki, Mehdi

doi:10.1016/j.ijmecsci.2008.09.002

Cited by 44 publications

(17 citation statements)

References 39 publications

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“…The detailed solution can be found in (Nosier and Maleki 2008). The following traction-free boundary conditions must be imposed within LWT:…”

Section: Lwt Solutionmentioning

confidence: 99%

“…The laminate rigidities, being in (28), upon integration, are presented in (Nosier and Maleki 2008). The coefficient matrices M ½ ; K ½ ; and T ½ appearing in Eq.…”

Section: Appendixmentioning

confidence: 99%

“…In the formulation, the Heaviside step function is employed to express the discontinuous interlaminar displacement field at the delaminated interfaces. Recently, the LWT and improved first-order shear deformation theory (IFSDT) are employed by Nosier and Maleki (2008) to analyze free-edge stresses in general composite laminates under extension loads. Kim et al (2012) analyzed interlaminar stresses near free edges in composite laminates by considering interface modeling.…”

Section: Introductionmentioning

confidence: 99%

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Bending analysis of a general cross-ply laminate using 3D elasticity solution and layerwise theory

Sarvestani¹,

Naghashpour²,

Heidari-Rarani

2015

Int J Adv Struct Eng

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In this study, the analytical solution of interlaminar stresses near the free edges of a general (symmetric and unsymmetric layups) cross-ply composite laminate subjected to pure bending loading is presented based on Reddy's layerwise theory (LWT) for the first time. First, the reduced form of displacement field is obtained for a general cross-ply composite laminate subjected to a bending moment by elasticity theory. Then, first-order shear deformation theory of plates and LWT is utilized to determine the global and local deformation parameters appearing in the displacement fields, respectively. One of the main advantages of the developed solution based on the LWT is exact prediction of interlaminar stresses at the boundary layer regions. To show the accuracy of this solution, three-dimensional elasticity bending problem of a laminated composite is solved for special set of boundary conditions as well. Finally, LWT results are presented for edge-effect problems of several symmetric and unsymmetric cross-ply laminates under the bending moment. The obtained results indicate high stress gradients of interlaminar stresses near the edges of laminates.

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“…The detailed solution can be found in (Nosier and Maleki 2008). The following traction-free boundary conditions must be imposed within LWT:…”

Section: Lwt Solutionmentioning

confidence: 99%

“…The laminate rigidities, being in (28), upon integration, are presented in (Nosier and Maleki 2008). The coefficient matrices M ½ ; K ½ ; and T ½ appearing in Eq.…”

Section: Appendixmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Bending analysis of a general cross-ply laminate using 3D elasticity solution and layerwise theory

Sarvestani¹,

Naghashpour²,

Heidari-Rarani

2015

Int J Adv Struct Eng

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show abstract

“…The first shear theory is combined with the Layerwise theory (LWT) [14] to analyze the interlaminar stresses of the laminated composite plates in this paper. The first shear theory assumed the plate as an equit-single layer as to build the displacement field whose component is C 0 continuity.…”

Section: Introductionmentioning

confidence: 99%

“…In this paper, the linear Lagrange interpolation function [14] is used as the interpolation function k  , and it can be expressed as below [14]:…”

mentioning

confidence: 99%

The Interlaminar Stress of Laminated Composite under Uniform Axial Deformation

Yang¹,

Chen²,

Zhao³

2013

MNSMS

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The interlaminar stresses are analyzed by combining the first shear theory with the layerwise theory method. And the plate subjected to a uniform axial strain is studied by the simplified displacement field. Using the simplified displacement field, the equations of finite element method are developed by the principle of virtual work. And the amount of calculation is reduced by using the linear element. Then, some numerical examples are given to verify the accuracy of the method and analyze the distribution of interlaminar stresses along y-axis and z-axis. The shapes of the stresses' curves in the vicinity of the free edge are very different from the interior area. Moreover, the influence of the ply angle on the interlaminar stresses is analyzed for the plate [θ/−θ] s . It can be found that the shapes of the stresses along z-axis are similar when the angle is different, while the values of the interlaminar stresses are changed apparently with the ply angle.

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References

2017

Handbook of Structural Life Assessment

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Free-edge stresses in general composite laminates

Cited by 44 publications

References 39 publications

Bending analysis of a general cross-ply laminate using 3D elasticity solution and layerwise theory

Bending analysis of a general cross-ply laminate using 3D elasticity solution and layerwise theory

The Interlaminar Stress of Laminated Composite under Uniform Axial Deformation

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