000015759 001__ 15759
000015759 005__ 20161115135328.0
000015759 04107 $$aeng
000015759 046__ $$k2013-06-12
000015759 100__ $$aPlesek, J.
000015759 24500 $$aContact-Impact Treatment in Explicit Transient Dynamics Using Isogeometric Analysis With Nurbs

000015759 24630 $$n34.$$pComputational Methods in Structural Dynamics and Earhquake Engineering
000015759 260__ $$bNational Technical University of Athens, 2013
000015759 506__ $$arestricted
000015759 520__ $$2eng$$aThe main difficulty in the contact analysis is a non-smoothness of contacting surfaces. It arises from inequality constraints as well as from geometric discontinuities induced by spatial discretization. The contact analysis based on traditional finite elements utilizes element facets to describe a contact surface. Unfortunately, the facet interfaces are only C0 continuous so that normal surface vectors may experience jump across element boundaries, which may lead to artificial oscillations of contact forces. A remedy to this geometric discontinuity may be provided by isogeometric formulation [1]. In this approach, the known geometry is accurately described by the Non-Uniform Rational B-Splines (NURBS) basis functions [2], which serve at the same time as the element basis functions. The isogeometric analysis provides some additional advantage, which is especially attractive to contact analysis, namely, preserving geometric continuity, facilitating patch-wise contact search, supporting a variationally consistent formulation, and having a uniform data structure for the contact surface and the underlying volumes. Recently, two penalty-based isogeometric contact algorithms were proposed in reference [3]. The former is the so-called knot-to-surface (KTS) algorithm. It is a straightforward extension of the classic node-to-surface (NTS) algorithm. Since the NURBS control points are not interpolatory, contact constraints are enforced directly at the quadrature points. It was shown in the same reference that this approach was over-constrained and therefore not acceptable if a robust formulation with accurate tractions was desired. The second algorithm is called the mortar-KTS algorithm. Here, a mortar projection of the contact pressures at control points is employed to obtain the correct number of constraints. In this paper, the mortar-KTS contact algorithm is utilized tohether with the central difference time integration scheme. The present algorithm is studied by means of a numerical example, which involves impact of two elastic tubes. The results clearly demonstrate the superiority of the NURBS discretization over the conventional Lagrange polynomial ansatz. Acknowledgements to GA101/09/1630 and GAP101/12/2315 under AV0Z20760514.

000015759 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000015759 653__ $$a

000015759 7112_ $$aCOMPDYN 2013 - 4th International Thematic Conference$$cIsland of Kos (GR)$$d2013-06-12 / 2013-06-14$$gCOMPDYN2013
000015759 720__ $$aPlesek, J.$$iKopacka, J.$$iGabriel, D.$$iKolman, R.
000015759 8560_ $$ffischerc@itam.cas.cz
000015759 8564_ $$s46306$$uhttps://invenio.itam.cas.cz/record/15759/files/1410.pdf$$yOriginal version of the author's contribution as presented on CD, section: CD-MS 24 ADVANCES IN MODELING OF WAVE PROPAGATION AND APPLICATIONS
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000015759 962__ $$r15525
000015759 980__ $$aPAPER