A micro-mechanical model of woven fabric and its application to the analysis of buckling under uniaxial tension. Part 2: buckling analysis

Zhang, Y.T.; Fu, Youhua

doi:10.1016/s0020-7225(00)00013-6

Cited by 22 publications

(6 citation statements)

References 10 publications

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“…For densely woven fabrics substantial shear brings the yarns into contact laterally. This causes a pronounced increase in the effective shear stiffness which in turn generates compressive stresses that promote out-of-plane buckling [8]. To describe this effect quantitatively, appeal should be made to a suitable plate theory incorporating local bending resistance.…”

Section: Constitutive Equations and Materials Symmetrymentioning

confidence: 99%

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Convexity of the Strain-Energy Function in a Two-Scale Model of Ideal Fabrics

2006

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A two-scale model is used to generate the macro-scale constitutive response of a sheet of woven fabric from a micro-scale model of interacting yarns regarded as crossed elasticae in contact. The model furnishes a macro-scale strainenergy function for an orthotropic membrane idealized as being weak in shear compared to the extensional resistance of material curves representing the yarns. The operative Legendre-Hadamard inequality for the membrane is derived and shown to be satisfied by a suitably relaxed version of the computed strain-energy function.

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Section: Constitutive Equations and Materials Symmetrymentioning

confidence: 99%

“…We are adapting the procedure used in [15]. From (8) it follows that f is the resultant force on the upper edge of the sheet generated by the statically admissible stress. (82) furnishes a lower bound on this force, denoted by f L .…”

Section: Conventional Position/traction Problemsmentioning

confidence: 99%

Convexity of the Strain-Energy Function in a Two-Scale Model of Ideal Fabrics

2006

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“…Xu et al (2006) investigated on the buckling analysis of triaxial woven fabric composite structures subjected to uniaxial loading numerically. Zhang and Fu (2000) made a micro mechanical model of woven fabric and its application to the analysis of buckling under uniaxial tension. In the present study, the influences of various parameters like effects of delamination area, number of layers, ply orientation and aspect ratios on the buckling load of industry driven practically important woven roving delaminated glass/epoxy composite plates are investigated under clamped-free-clamped-free (CFCF) boundary condition.…”

Section: Introductionmentioning

confidence: 99%

Numerical and experimental study on buckling behaviour of multiple delaminated composite plates

Mohanty

Sahu²,

Parhi³

2013

International Journal of Structural Integrity

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Purpose -With the widespread use of the composites over other metallic materials in different fields of engineering, studies on damages of composite structures have assumed great importance. Among various kinds of damages, delamination is of very serious concern to composite applications. It may arise as a consequence of impact loading, stress concentration near a geometrical or material discontinuity or manufacturing defects. The presence of one or more delaminations in the composite laminate may lead to a premature collapse of the structure due to buckling at a lower level of compressive loading. So the effect of delamination on stability of composite structures needs attention and thus constitutes a problem of current interest. The purpose of this paper is to deal with both numerical and experimental investigations on buckling behaviour of single and multiple, delaminated, industry driven, woven roving glass/epoxy composite plates on clamped free clamped free (CFCF) rectangular plates. Design/methodology/approach -For numerical analysis, a finite element model was developed with an eight noded two dimensional quadratic isoparametric element having five degrees of freedom per node. The elastic stiffness matrices were derived using linear first order shear deformation theory with a shear correction factor. Green's nonlinear strain equations are used to derive the geometric stiffness matrix. The computation of buckling load based on present formulation is compared with the experimental results for the effect of different parameters on critical load of the delaminated composite panels. In the experimental study, the influences of various parameters such as delamination area, fiber orientations, number of layers, aspect ratios on the buckling behaviour of single and multiple delaminated woven roving glass/epoxy composite plates were investigated. Buckling loads were measured by INSTRON 1195 machine for the delaminated composite plates. Findings -Comparison of numerical results with experimental results showed a good agreement. Both the results revealed that the area of delaminations, fiber orientations, number of layers and aspect ratio have paramount influence on the buckling behaviour of delaminated plate. Originality/value -The present study is part of Jayaram Mohanty's doctoral thesis, an original research work.

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“…The specimen indicates pure shear deformation in zone A related to the crosshead displacement “ d ” as: where D is the length of the central zone A and θ is the angle between yarns. The stretching of the specimen leads to shear strain in zone B that is the half of that in the zone A 19–22 …”

Section: Theoretical Backgroundmentioning

confidence: 99%

Use of Digital Image Correlation to Analyse the Shearing Deformation in Woven Fabric

Dridi

Morestin

Dogui

2011

Experimental Techniques

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The mechanical behaviour of a woven structure remains poorly understood because of the material's anisotropic behaviour. This leads to the challenging task of performing a reliable and repeatable investigation for the characterisation of the material properties. Shear properties of the woven fabric are assessed by bias extension and picture frame tests. The aim of the present work is to analyse the shear deformation in plain cotton fabric during bias extension and picture frame tests using digital image correlation. The latter allows direct and local measurement that does not require a numerical or analytical model. Using this optical method, the homogeneity of deformation is studied and the experimental strain is compared to that predicted by theory.

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A micro-mechanical model of woven fabric and its application to the analysis of buckling under uniaxial tension. Part 2: buckling analysis

Cited by 22 publications

References 10 publications

Convexity of the Strain-Energy Function in a Two-Scale Model of Ideal Fabrics

Convexity of the Strain-Energy Function in a Two-Scale Model of Ideal Fabrics

Numerical and experimental study on buckling behaviour of multiple delaminated composite plates

Use of Digital Image Correlation to Analyse the Shearing Deformation in Woven Fabric

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