Browsing by Subject "Isogeometric Analysis"

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    Isogeometric analysis and thermomechanical mortar contact problems
    (Elsevier, 2014-06-01) Dittmann, M.; Franke, M.; Temizer, I.; Hesch, C.
    Thermomechanical Mortar contact algorithms and their application to NURBS based Isogeometric Analysis are investigated in the context of nonlinear elasticity. Mortar methods are applied to both the mechanical field and the thermal field in order to model frictional contact, the energy transfer between the surfaces as well as the frictional heating. A series of simplifications are considered so that a wide range of established numerical techniques for Mortar methods such as segmentation can be transferred to IGA without modification. The performance of the proposed framework is illustrated with representative numerical examples. (C) 2014 Elsevier B.V. All rights reserved.
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    A large deformation frictional contact formulation using NURBS‐based isogeometric analysis
    (John Wiley & Sons, 2011-02-23) De, L.; Temizer, I.; Wriggers, P.; Zavarise, G.
    This paper focuses on the application of NURBS-based isogeometric analysis to Coulomb frictional contact problems between deformable bodies, in the context of large deformations. A mortar-based approach is presented to treat the contact constraints, whereby the discretization of the continuum is performed with arbitrary order NURBS, as well as C0-continuous Lagrange polynomial elements for comparison purposes. The numerical examples show that the proposed contact formulation in conjunction with the NURBS discretization delivers accurate and robust predictions. Results of lower quality are obtained from the Lagrange discretization, as well as from a different contact formulation based on the enforcement of the contact constraints at every integration point on the contact surface. Copyright © 2011 John Wiley & Sons, Ltd.