A mortar segment-to-segment contact method for large deformation solid mechanics

By Michael A. Puso, T. Laursen. 2004

423 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/e049f7ca898fbd3458b3706173875b1457e4b0ee

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In Computational Theory and Mathematics

In Mechanics of Materials

Citations in the corpus

A mortar method for energy‐momentum conserving schemes in frictionless dynamic contact problems (2009, background): “Following Puso and Laursen [7, Section 2], the potential function of the normal contact constraints pertaining to the mortar method can be derived from an integral form of the contact complementarity condition.”
Efficient simulation of multi‐body contact problems on complex geometries: A flexible decomposition approach using constrained minimization (2009, methodology): “The iterative solver, a monotone multigrid method we present in Section 5, actually makes no difference between the two cases since both are solved by constrained energy minimization.”
Two dimensional mortar contact methods for large deformation frictional sliding (2005, background): “As is discussed in detail for the three dimensional frictionless case in Reference [18], mortar element formulation of large deformation/sliding contact problems is difficult because the mortar integrals and associated surface-to-surface projections are strongly dependent on the deformation of the c”
A contact searching algorithm including bounding volume trees applied to finite sliding mortar formulations (2007, methodology): “6. Compute contact stiffness based on the mortar segmentinformationandthelinearizationgivenin[ 1 ,3].”
A dual mortar approach for 3D finite deformation contact with consistent linearization (2010, methodology): “Only a short overview is given here and the interested reader is referred to the original work [7, 8, 29] for details.”
A finite deformation mortar contact formulation using a primal–dual active set strategy (2009, positive): “For an extension to 3D problems, the reader is referred to [14, 15].”
On the contact domain method: A comparison of penalty and Lagrange multiplier implementations (2012, methodology): “Due to its obvious advantages, this method has found its application in many of the recently developed frictionless and frictional contact formulation focusing on large deformation problems [25,18,17,5].”