On the treatment of frictional contact in shell structures using variational inequalities

El-Abbasi, N.; Meguid, S. A.

doi:10.1002/(sici)1097-0207(19990920)46:2<275::aid-nme675>3.0.co;2-w

Cited by 7 publications

(2 citation statements)

References 37 publications

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“…Unfortunately, these elements are known to feature numerical difficulties [15] that may be overcome in an original fashion. Among possible strategies that have revealed themselves useful over the past few years [29], Bézier curves, Hermite and Bernstein patches [45], Overhauser segments [1], the diffuse approximation approach [13], the B-splines [10,4,35,32] and the non-uniform rational B-splines (NURBS) [42,20] stimulated a number of interesting investigations. While preserving the original meshes, they remove the facetization issues, ease the contact transition and then increase the convergence rates of the dedicated contact algorithms.…”

Section: Introductionmentioning

confidence: 99%

Full three-dimensional investigation of structural contact interactions in turbomachines

Legrand

Batailly

Magnain

et al. 2012

Journal of Sound and Vibration

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International audienceMinimizing the operating clearance between rotating bladed-disks and stationary surrounding casings is a primary concern in the design of modern turbomachines since it may advantageously affect their energy efficiency. This technical choice possibly leads to interactions between elastic structural components through direct unilateral contact and dry friction, events which are now accepted as normal operating conditions. Subsequent nonlinear dynamical behaviors of such systems are commonly investigated with simplified academic models mainly due to theoretical difficulties and numerical challenges involved in non-smooth large-scale realistic models. In this context, the present paper introduces an adaptation of a full three-dimensional contact strategy for the prediction of potentially damaging motions that would imply highly demanding computational efforts for the targeted aerospace application in an industrial context. It combines a smoothing procedure including bicubic B-spline patches together with a Lagrange multiplier based contact strategy within an explicit time-marching integration procedure preferred for its versatility. The proposed algorithm is first compared on a benchmark configuration against the more elaborated bi-potential formulation and the commercial software Ansys. The consistency of the provided results and the low energy fluctuations of the introduced approach underlines its reliable numerical properties. A case study featuring blade-tip/casing contact on industrial finite element models is then proposed: it incorporates component mode synthesis and the developed 3D contact algorithm for investigating structural interactions occurring within a turbomachine compressor stage. Both time results and frequency-domain analysis emphasize the practical use of such a numerical tool: detection of severe operating conditions and critical rotational velocities, time-dependent maps of stresses acting within the structures, parameter studies and blade design tests

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Section: Introductionmentioning

confidence: 99%

Full three-dimensional investigation of structural contact interactions in turbomachines

Legrand

Batailly

Magnain

et al. 2012

Journal of Sound and Vibration

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“…Signiÿcant progress has been made in the formulation and solution of frictional contact problems using the ÿnite element method [1][2][3][4][5][6][7][8]. However, the accurate and e cient representation of the contact surface has received much less attention in the scientiÿc literature.…”

Section: Introductionmentioning

confidence: 99%

On the modelling of smooth contact surfaces using cubic splines

El-Abbasi

Meguid

Czekanski

2001

Int. J. Numer. Meth. Engng.

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In this paper, a new strategy for the smooth representation of 2D contact surfaces is developed and implemented. The contact surfaces are modelled using cubic splines which interpolate the finite element nodes. These splines provide a unique surface normal vector and do not require prior knowledge of surface tangents and normals. C2‐continuous cubic splines are suitable for representing rigid contact surfaces, while C1‐continuous Overhauser splines are shown to be most suitable for representing flexible contact surfaces. A consistent linearization of the kinematic contact constraints, based on the spline interpolation, is derived. The new spline‐based contact surface interpolation scheme does not influence the element calculations. Consequently, it can be easily implemented in standard FE codes. Several numerical examples are used to illustrate the advantages of the proposed smooth representation of contact surfaces. The results show a significantimprovement in accuracy compared to traditional piecewise element‐based surface interpolation. The predicted contact stresses are also less sensitive to the mismatch in the meshes of the different contacting bodies. This property is useful for problems where the contact area is unknown a priori and when there is significant tangential slip. Copyright © 2001 John Wiley & Sons, Ltd.

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Advances in computational contact mechanics

Meguid

Czekanski

2008

Int J Mech Mater Des

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On the treatment of frictional contact in shell structures using variational inequalities

Cited by 7 publications

References 37 publications

Full three-dimensional investigation of structural contact interactions in turbomachines

Full three-dimensional investigation of structural contact interactions in turbomachines

On the modelling of smooth contact surfaces using cubic splines

Advances in computational contact mechanics

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