Titlebook: Computational Contact Mechanics; Geometrically Exact Alexander Konyukhov,Karl Schweizerhof Book 2013 Springer-Verlag Berlin Heidelberg 201

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Weak Formulation of Contact Conditions,l values, to formulate the weak forms for all considered contact situations: Surface-To-Surface, Point-To-Curve, Curve-To-Curve etc. in corresponding curvilinear coordinate systems. In addition various formulations of the Nitsche approach are discussed.

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Contact Constraints and Constitutive Equations for Contact Tractions, for contact forces and stresses. With regards to the introduced coordinate system and kinematics the contact tractions are naturally split into normal and tangential components. If for the normal components non-penetration conditions can be formulated then for tangential components the constitutive relations are required.

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,Anisotropic Adhesion-Friction Models – Some Particular Details of Implementation and Numerical ExamSections 6.2, 6.3 and 6.4. The model, first, is implemented for the full Newton method and then the Augmented Lagrangian method. The tangent matrices is then based on the linearization derived in Sect. 7.3.

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Introduction,ulation of contact algorithm for various possible geometrical situations of contacting bodies: surface-to-surface, curve-to-surface etc. Known computational contact algorithms will be reconsidered in accordance with the geometry of contacting bodies in a form independent of their approximation, in t

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,Surface-To-Surface Contact – Various Aspects for Implementations within the Finite Element Method,ment-To-Segment type of contact element – this technique is the basis for the isogeometric implementation. A special Segment-To-Analytical Surface (STAS) contact approach is illustrated for the contact with rigid surfaces described analytically. The Large Penetration algorithm is presented as additi

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1613-7736 orithms within the finite element method including any arbitrary discretization techniques such as high order and isogeometric finite elements, which are most convenient for the considered geometrical situation978-3-642-44541-5978-3-642-31531-2Series ISSN 1613-7736 Series E-ISSN 1860-0816

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https://doi.org/10.1007/978-3-319-62785-4ulation of contact algorithm for various possible geometrical situations of contacting bodies: surface-to-surface, curve-to-surface etc. Known computational contact algorithms will be reconsidered in accordance with the geometry of contacting bodies in a form independent of their approximation, in t

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Hedgefonds und Distressed-Debt-Investorenment-To-Segment type of contact element – this technique is the basis for the isogeometric implementation. A special Segment-To-Analytical Surface (STAS) contact approach is illustrated for the contact with rigid surfaces described analytically. The Large Penetration algorithm is presented as additi