Straight free-edge effects in laminated composites

Tian, Zijian; Zhao, Fengdong; Yang, Qingping

doi:10.1016/j.finel.2004.03.004

Cited by 17 publications

(6 citation statements)

References 26 publications

(34 reference statements)

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“…However relatively less attention has been addressed to the development of layer-wise based FE for interlaminar free-edge stresses analysis. Most of layer-wise FEs developed for free edge analysis [28][29][30] are based on the hybrid stress concept using the variational principle of Pian [31].…”

Section: Accepted Manuscriptmentioning

confidence: 99%

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Finite element analysis of free-edge stresses in composite laminates under mechanical an thermal loading

Nguyen

Caron²

2009

Composites Science and Technology

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To cite this version:Viet-Tung Nguyen, Jean-François Caron. Finite element analysis of free-edge stresses in composite laminates under mechanical an thermal loading. Composites Science and Technology, Elsevier, 2009, 69 (1), pp.40. <10.1016/j.compscitech.2007.10.055>. F i n i t e e l e m e n t a n a l y s i s o f f r e e -e d g e s t r e s s e s i n c o m p o s i t e l a m i n a t e s u n d e r m e -c h a n i c a l a n t h e r m a l l o a d i n g V i e t -T u n g N g u y e n , J e a n -F r a n c o i s C a r o n P I I : S 0 2 6 Accepted Manuscript ACCEPTED MANUSCRIPTFinite element analysis of free-edge stresses in

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Section: Accepted Manuscriptmentioning

confidence: 99%

“…10. In the work of Tian et al [30], a 3D hybrid stress element has been used to investigate free-edge stress distribution. The values of interfacial stresses of the present model and those of [30] are quite close and both models confirm no existence of stress singularity at the interface.…”

Section: Accepted Manuscriptmentioning

confidence: 99%

Finite element analysis of free-edge stresses in composite laminates under mechanical an thermal loading

Nguyen

Caron²

2009

Composites Science and Technology

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“…Due to its sound solution accuracy, the hybrid stress finite element method [1] has experienced significant developments [2][3][4][5] and has been successfully applied to many scientific and engineering problems [6][7][8][9] . One major issue for the hybrid element formulation is to correctly construct the assumed stress field.…”

Section: Introductionmentioning

confidence: 99%

Orthogonal basic deformation mode method for zero-energy mode suppression of hybrid stress elements

Zhang

Wang

2011

Appl. Math. Mech.-Engl. Ed.

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A set of basic deformation modes for hybrid stress finite elements are directly derived from the element displacement field. Subsequently, by employing the so-called united orthogonal conditions, a new orthogonalization method is proposed. The resulting orthogonal basic deformation modes exhibit simple and clear physical meanings. In addition, they do not involve any material parameters, and thus can be efficiently used to examine the element performance and serve as a unified tool to assess different hybrid elements. Thereafter, a convenient approach for the identification of spurious zero-energy modes is presented using the positive definiteness property of a flexibility matrix. Moreover, based on the orthogonality relationship between the given initial stress modes and the orthogonal basic deformation modes, an alternative method of assumed stress modes to formulate a hybrid element free of spurious modes is discussed. It is found that the orthogonality of the basic deformation modes is the sufficient and necessary condition for the suppression of spurious zero-energy modes. Numerical examples of 2D 4-node quadrilateral elements and 3D 8-node hexahedral elements are illustrated in detail to demonstrate the efficiency of the proposed orthogonal basic deformation mode method.

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“…Moorthy layerwise displacement finite element to predict free-edge stresses in the angle-ply laminated plates in bending. Tian et al [21] also proposed a hybrid stress element to study the interlaminar stresses near free straight boundaries. Nguyen and Caron [22] presented a multipartical finite element including 5n degrees of freedom per node (n is number of layers) to estimate the interlaminar stresses in laminated composite plate.…”

Section: Introductionmentioning

confidence: 99%

A higher-order displacement model for stress concentration problems in general lamination configurations

Wanji

2009

Materials & Design

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Straight free-edge effects in laminated composites

Cited by 17 publications

References 26 publications

Finite element analysis of free-edge stresses in composite laminates under mechanical an thermal loading

Finite element analysis of free-edge stresses in composite laminates under mechanical an thermal loading

Orthogonal basic deformation mode method for zero-energy mode suppression of hybrid stress elements

A higher-order displacement model for stress concentration problems in general lamination configurations

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