On the nature of the free edge stress singularity in composite laminated plates

Bar‐Yoseph, P.; Avrashi, J.

doi:10.1002/nme.1620260704

Cited by 19 publications

(9 citation statements)

References 20 publications

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“…The solutions of the high-integrity hybrid stress element based on a modified Hellinger-Reissner principle together with a asymptotic expansion 40 are drawn as the references for comparison.…”

Section: Rectangular Symmetric Laminate ([þ45/à45 S ]) Under Uniform mentioning

confidence: 99%

Three-dimensional stress analyses around cutouts in laminated composites by special hybrid finite elements

Tian

Yang

Wang

2015

Journal of Composite Materials

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The distribution of stresses around some cutouts in laminated composites is analyzed by using the combination of two kinds of special hybrid stress multilayer finite elements. One kind of the three-dimensional special finite element contains a tractionfree cylindrical surface and the other contains a traction-free planar surface. Both of these special finite elements are derived based on a modified complementary energy principle. The expressions of six stress components in each kind of element are derived, such that the homogeneous equilibrium equations in each layer, the continuity of the transverse stresses on the interlayer surface, and the traction-free boundary conditions over the designated surfaces are satisfied a prior, while the interelement reciprocity traction is satisfied a posterior in a variational sense. All components of displacement are included since bending-stretching coupling may occur. Examples have indicated that the combination of these special multilayer finite elements is far superior in predicting the distribution of circumferential stresses and transverse stresses for laminates with holes and notches when only a very coarse element mesh is used near the free edge of the cutouts.

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Section: Rectangular Symmetric Laminate ([þ45/à45 S ]) Under Uniform mentioning

confidence: 99%

Three-dimensional stress analyses around cutouts in laminated composites by special hybrid finite elements

Tian

Yang

Wang

2015

Journal of Composite Materials

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“…12. The solutions of the high integrity hybrid stress element based on a modiÿed Hellinger-Reissner principle together with an asymptotic expansion [16] show that the residuals of the traction-free boundary conditions at the free edge (except at the singularity point) and of the continuity of the interlaminar stress across the interface are of 0(10 −4 ). Since a rigorous study of edge e ects in a [ − 45 • = + 45 • ] s rectangular laminate is missing in the literature, these results are drawn as the references for comparison.…”

Section: Rectangular Symmetric Laminate Under Uniform Tensionmentioning

confidence: 99%

“…have been suggested [1][2][3][4][5][6][7][8][9][10][11][12][13]. Bar-Yoseph [14] and Bar-Yoseph and Avrashi [15,16] also computed the stresses by the use of a new hybrid stress element based on a modiÿed Hellinger-Reissner principle with asymptotic expansion.…”

Section: Introductionmentioning

confidence: 99%

Straight free-edge effects in laminated composites

Tian

Zhao

Yang

2004

Finite Elements in Analysis and Design

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“…where displacement-based methods fail to satisfy the transverse stress continuity required by the equilibrium condition. Mixed-hybrid FE methods have been thus proposed to enhance the interlaminar stresses [16,17]. It is interesting to note that these works yield contradictory conclusions with regard to the stress singularity, in particular Spilker and Chou [16] rejected the presence of singularities.…”

Section: Accepted Manuscriptmentioning

confidence: 99%

Assessment of free-edge singularities in composite laminates using higher-order plate elements

Wenzel

D′Ottavio

Polit

et al. 2016

Mechanics of Advanced Materials and Structures

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International audienceThe capabilities and limitations of refined two-dimensional (2D) composite plate elements are discussed with respect to the stress concentration problem occurring at traction-free edges. Classical displacement-based and advanced partially mixed finite elements are formulated according to Carrera’s Unified Formulation (CUF). Rectangular laminates are analyzed under extension and bending loading, where the attention is focused on the local stress response at the free edges. Present results are compared with reference results available in the literature and a 3D finite element model. A power law representation for a singular stress field is used to fit the obtained stresses in the vicinity of the free edge, and the parameters are used to assess the CUF elements and to compare the free-edge effect occurring in extension and bending

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On the nature of the free edge stress singularity in composite laminated plates

Cited by 19 publications

References 20 publications

Three-dimensional stress analyses around cutouts in laminated composites by special hybrid finite elements

Three-dimensional stress analyses around cutouts in laminated composites by special hybrid finite elements

Straight free-edge effects in laminated composites

Assessment of free-edge singularities in composite laminates using higher-order plate elements

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