Transient elastodynamics around cracks including contact and friction

Stavroulakis, Georgios Ε.; Antes, H.

doi:10.1016/s0045-7825(99)00391-6

Cited by 20 publications

(11 citation statements)

References 24 publications

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“…The Linear Complementarity Problem (LCP) described by (8) and (9) can be solved, for instance, by the Lemke algorithm, which is an extension of the Simplex algorithm of linear programming such as to take into account the complementarity relation of (8) 3 [15]. Friction has not been taken into account in this work, although an extension for the treatment of frictional contact problems is possible, see [22].…”

Section: Contact Mechanism Of Cracksmentioning

confidence: 99%

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Crack and flaw identification in elastodynamics using Kalman filter techniques

2005

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Filter-driven optimization based on the extended Kalman filter concept is used here for the numerical solution of crack and flaw identification problems in elastodynamics. The mechanical modeling of the studied two-dimensional problem, which includes the effect of unilateral contact along the sides of the crack, is done with the help of the boundary element method. The effect of various dynamical test loads and the applicability of this method for crack and defect identification in disks are investigated.

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Section: Contact Mechanism Of Cracksmentioning

confidence: 99%

“…Special hypersingular boundary elements are used for the crack boundaries. Furthermore the possibility of partial or total closure of cracks, the effect which is known as unilateral contact, is included in some of our investigations by a combined boundary element and linear complementarity problem strategy (LCP-BEM, see [2], [22]). …”

Section: Introductionmentioning

confidence: 99%

Crack and flaw identification in elastodynamics using Kalman filter techniques

2005

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“…Detailed calculation shows that such an iterative procedure is quite e ective. We would mention that a compact linear complementarity (LCP) BEM was developed for the unilateral frictional contact problems by some authors [6,7]. This method has been proved to be very e cient and can give accurate results.…”

Section: Iterative Proceduresmentioning

confidence: 99%

Transient scattering of plane waves from an inclusion with a unilateral frictional contact interface—a 2D time domain boundary element analysis

Feng¹,

Wang²,

Zhang³

2004

Commun. Numer. Meth. Engng.

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SUMMARYThis paper is the continuity of our previous work (Commun Numer Meth Engng 2003; 19:25-36) which applies the 2D time domain boundary element method (BEM) to solve the transient scattering of SH waves by an inclusion with a unilateral frictional contact interface. The case of the plane wave (P and/or SV wave) incidence is studied. Localized slip and separation at the interface caused by strong incident waves are considered. Therefore the interface involves three di erent kinds of unknown intervals: slip, separation and stick regions. In order to determine the unknown intervals, an iterative technique is developed. As an example, we compute the scattering of P waves by a cylinder of circular cross-section embedded in an inÿnite solid. Numerical results for the near ÿeld solutions are presented. The distortion of the response waves and the variation of the interface states are discussed.

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“…(4) The new techniques are applied to improve the computational precision and the efficiency, such as multigrid iterative approaches [23], adaptive approaches [24], automatic load incrementation techniques [26], using non-conforming mesh to discretize the contact bodies [33][34][35][36], etc. (5) The dynamic process of contact [37] is considered instead of static state. (6) The coupled methods of FEM and BEM are able to draw the merits of the two numerical techniques [38].…”

Section: Introductionmentioning

confidence: 99%

Taylor series multipole boundary element‐mathematical programming method for 3D multi‐bodies elastic contact problems

Xiao

Xia

2009

Numerical Meth Engineering

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SUMMARYUtilizing the mathematical programming technique of contact problems and Fast Multipole Boundary Element Method (FM-BEM) theory, Taylor Series Multipole BEM (TSMBEM) for solving 3D multibodies elastic frictional contact problems is presented based on the 'node-to-surface' contact model. The numerical method is able to analyze the large-scale contact problems using non-conforming or conforming boundary meshes. For multi-bodies contact problems, the computational costs of contact identification can be effectively reduced by the contact table. The mathematical programming method for TSMBEM is presented based on the interpolation approach of contact elements. The linear system arising from multipole BEM is solved by using Generalized Minimal RESidual algorithm GMRES(m) in conjunction with near-field preconditioning technique. The numerical experiments of flat punch and HC roll system are carried out by the newly developed multipole BEM. The numerical results are compared with the Hertz theoretical solutions, which illustrate the effectiveness and the validity of the numerical method for 3D multi-bodies elastic frictional contact analysis.

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Transient elastodynamics around cracks including contact and friction

Cited by 20 publications

References 24 publications

Crack and flaw identification in elastodynamics using Kalman filter techniques

Crack and flaw identification in elastodynamics using Kalman filter techniques

Transient scattering of plane waves from an inclusion with a unilateral frictional contact interface—a 2D time domain boundary element analysis

Taylor series multipole boundary element‐mathematical programming method for 3D multi‐bodies elastic contact problems

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