Computational Contact and Impact Mechanics

By T. Laursen. 2003

709 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Control and Systems Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/7204a1080e7649dd6d6330ec73de622e51f26ac0

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In Computational Theory and Mathematics

In Control and Systems Engineering

In Mechanics of Materials

Citations in the corpus

Two dimensional mortar contact methods for large deformation frictional sliding (2005, methodology): “If it can do so for arbitrary non-conforming contact surfaces, the contact formulation passes the patch test [7].”
A mortar method for energy‐momentum conserving schemes in frictionless dynamic contact problems (2009, methodology): “The NTS method is currently the prevalent contact formulation in finite element analysis, see the books by Laursen [4] and Wriggers [5].”
Three-dimensional mortar-based frictional contact treatment in isogeometric analysis with NURBS (2012, background): “For details and extensive references, the reader is referred to Wriggers [60], Laursen [37], Laursen et al.”
Efficient simulation of multi‐body contact problems on complex geometries: A flexible decomposition approach using constrained minimization (2009, methodology): “As solution algorithm for the nonlinear multi-body contact problem discretized by mortar finite elements we apply”
A dual mortar approach for 3D finite deformation contact with consistent linearization (2010, background): “(10) We refer to [5, 6, 27] for details on constitutive laws for contact including friction.”
Transient three‐dimensional domain decomposition problems: Frame‐indifferent mortar constraints and conserving integration (2010, methodology): “The application of the mortar method to large-deformation contact problems can be found, for example, in Puso et al. [17], Yang et al. [18] and Yang and Laursen [19].”
Isogeometric analysis : CAD, finite elements, NURBS, exact geometry and mesh refinement (2005, background): “(a) Faceted polynomial finite elements create problems in sliding contact (see [80,81]).”
Isogeometric analysis and domain decomposition methods (2012, methodology): “The mortar method has been shown to preserve optimal convergence rates (see Laursen (2002) [25] for details) and is variationally consistent.”
A formulation based on localized Lagrange multipliers for BEM–FEM coupling in contact problems (2008, methodology): “A more complete overview of the different approaches used in FE contact problems can be found in the books of Wriggers [34] and Laursen [19].”