Algorithmic stabilization of FE analyses of 2D frictional contact problems with large slip

Liu, W.N.; Meschke, Günther; Mang, Herbert A.

doi:10.1016/s0045-7825(03)00252-4

Cited by 6 publications

(2 citation statements)

References 16 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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“…In particular, contact problems involving rigid, elastic and simple elastoplastic solid bodies have attracted considerable attention over the last two decades. Even though significant advances have been made in designing algorithms for solving contact problems, merely achieving convergence can be very difficult under many circumstances ͑Christensen et al 1998; Pietrzak and Curnier 1999;Barber and Ciavarella 2000;Wriggers 2002;Liu et al 2003͒. This is especially true for contact problems in soils, where the constitutive models are usually complex.…”

Section: Introductionmentioning

confidence: 99%

Application of Frictional Contact in Geotechnical Engineering

2007

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Soil-structure interaction is traditionally simplified to prescribed boundary conditions or modeled by joint elements. Both of these approaches are limited to small and continuous relative displacements at the interface. The use of contact constraints opens up a fresh range of possibilities for geotechnical analysis, especially for cases involving large interfacial deformation. This paper demonstrates the application of computational contact mechanics in geotechnical engineering. It first outlines a general description of kinematic constraints for frictional contact and the associated numerical algorithms. A number of classical geotechnical problems are then analyzed using finite-element contact methods. These problems include a strip footing under eccentric and inclined loads and a cone penetration test. It is shown that the finite-element method with frictional contact is indeed very useful in geotechnical analysis, and can provide solutions to problems that are otherwise very difficult to analyze.

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A surface-to-surface contact search method enhanced by deep learning

Oishi

Yagawa

2020

Comput Mech

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Algorithmic stabilization of FE analyses of 2D frictional contact problems with large slip

Cited by 6 publications

References 16 publications

Full three-dimensional investigation of structural contact interactions in turbomachines

Full three-dimensional investigation of structural contact interactions in turbomachines

Application of Frictional Contact in Geotechnical Engineering

A surface-to-surface contact search method enhanced by deep learning

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