A segment-to-segment mortar contact method for quadratic elements and large deformations

By Michael A. Puso, T. Laursen, Jerome Solberg. 2008

166 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/2fd807223997979f3640f2306e2365d61da38273

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In Computational Theory and Mathematics

In Mechanics of Materials

Citations in the corpus

Isogeometric analysis and domain decomposition methods (2012, background): “[32] and in Fischer and Wriggers [11], a detailed analysis can be found in Hauret and Le Tallec [16].”
A mortar formulation for 3D large deformation contact using NURBS-based isogeometric analysis and the augmented Lagrangian method (2012, background): “As mentioned previously, these problems have been alleviated in previous mortar implementations by introducing an averaging of the normal vectors at the inter-element nodes [32, 33 ,43].”
Transient three‐dimensional domain decomposition problems: Frame‐indifferent mortar constraints and conserving integration (2010, unknown): “[17], Yang et al.”
A dual mortar approach for 3D finite deformation contact with consistent linearization (2010, methodology): “The basic idea in [10] is to subdivide quadratic surface elements into linearly interpolated segments as illustrated in Figure 4 for a 9-node quadrilateral contact element.”
A finite deformation mortar contact formulation using a primal–dual active set strategy (2009, unknown): “For an extension to 3D problems, the reader is referred to [14, 15].”
Segment-based vs. element-based integration for mortar methods in computational contact mechanics (2015, methodology): “[30,36,37,55].”
A large deformation frictional contact formulation using NURBS‐based isogeometric analysis (2011, methodology): “[25].”
A mortar method for energy‐momentum conserving schemes in frictionless dynamic contact problems (2009, background): “It is worth noting that in previous works on mortar contact formulations (see [7, 9, 12, 13]) additional simplifying assumptions are commonly incorporated into the contact virtual work.”