Finite element analysis of stress concentrations and failure criteria in composite plates with circular holes

doi:10.1007/s11465-014-0307-9

Front. Mech. Eng.

2014, Vol. 9

Issue (3) : 281-294 https://doi.org/10.1007/s11465-014-0307-9

RESEARCH ARTICLE

Finite element analysis of stress concentrations and failure criteria in composite plates with circular holes

Abdelhak KHECHAI^1,^*(

),Abdelouahab TATI²,Abdelhamid GUETTALA¹

1. Laboratory of Civil Engineering, University of Biskra, Biskra 07000, Algeria
2. Laboratory of Energy Engineering and Materials, University of Biskra, Biskra 07000, Algeria

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Abstract

In this study, the stress concentration factors (SCF) in cross-and-angle-ply laminated composite plates as well as in isotropic plates with single circular holes subjected to uniaxial loading is studied. A quadrilateral finite element of four-node with 32 degrees of freedom at each node, previously developed for the bending and mechanical buckling of laminated composite plates, is used to evaluate the stress distribution in laminated composite plates with central circular holes. Based up on the classical plate theory, the present finite element is a combination of a linear isoparametric membrane element and a high precision rectangular Hermitian element. The numerical results obtained by the present element compare favorably with those obtained by the analytic approaches published in literature. It is observed that the obtained results are very close to the reference results, which demonstrates the accuracy of the present element. Additionally, to determine the first ply failure (FPF) of laminated plate, several failure criterions are employed. Finally, to show the effect of E1/E2 ratio on the failure of plates, a number of figures are given for different fiber orientation angles.

Keywords laminated composite plates stress concentration geometric singularity anisotropic effect

Corresponding Author(s): Abdelhak KHECHAI

Online First Date: 09 September 2014 Issue Date: 10 October 2014

Cite this article:

Abdelhak KHECHAI,Abdelouahab TATI,Abdelhamid GUETTALA. Finite element analysis of stress concentrations and failure criteria in composite plates with circular holes[J]. Front. Mech. Eng., 2014, 9(3): 281-294.

URL:

https://academic.hep.com.cn/fme/EN/10.1007/s11465-014-0307-9
https://academic.hep.com.cn/fme/EN/Y2014/V9/I3/281

Fig.1 Geometry and coordinate systems of rectangular laminated composite plate

Fig.2 An anisotropic plate subjected to uniaxial loading

Tab.1 Material property

Fig.3 The meshed configuration of the quarter model with the boundary and loading conditions

Fig.4 Mesh refinement results

Tab.2 Convergence of SCF

Fig.5 SCFs σα/σx versus α for two layered graphite-epoxy composite

Fig.6 SCFs σα/σx versus α for four layered composite plates glass-epoxy A

Fig.7 SCFs σα/σx versus α for four layered composite plates glass-epoxy B

Tab.3 SCFs for different laminated plates subjected to uniaxial tension

Fig.8 Effect of fiber orientation angle on SCF σα/σx for plates glass-epoxy A

Fig.9 Effect of fiber orientation angle on SCF σα/σx for plates glass-epoxy B

Fig.10 SCF for different orientation angles versus modulus ratio. (a) Maximum tensile SCF; (b) maximum compression SCF

Fig.11 Effect of circular hole and fiber orientation angle on the strength of glass-epoxy B composite plates. (a) For tension; (b) for compression

Tab.4 Failure criteria in glass-epoxy B subjected to tensile stress

Tab.5 Failure criteria in glass-epoxy B subjected to compressive stress

Tab.6 Failure criteria in graphite-epoxy subjected to tensile stress

Tab.7 Failure criteria in graphite-epoxy subjected to compressive stress

Fig.12 Effect of circular hole and fiber orientation angle on the strength of graphite-epoxy composite plates. (a) For tension; (b) for compression

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