Two dimensional mortar contact methods for large deformation frictional sliding

By Bin Yang, T. Laursen, Xiao Meng. 2005

240 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/28b6165251fb4b51540ac85c2351e6b1245c50e3

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In Computational Theory and Mathematics

In Mechanics of Materials

Citations in the corpus

Segment-based vs. element-based integration for mortar methods in computational contact mechanics (2015, unknown): “[30,36,37,55].”
A finite deformation mortar contact formulation using a primal–dual active set strategy (2009, unknown): “An analog procedure has been presented for a penalty regularized approach in [17].”
A contact searching algorithm including bounding volume trees applied to finite sliding mortar formulations (2007, methodology): “3. Perform a local contact search in segments identified above,tocalculatelocalgeometricquantitiesneeded to evaluate mortar segments. Details can be found in [2] and [ 3 ].”
Unilateral non‐linear dynamic contact of thin‐walled structures using a primal‐dual active set strategy (2007, unknown): “[6] describe a contact method for two-dimensional large deformation frictional sliding.”
Transient three‐dimensional domain decomposition problems: Frame‐indifferent mortar constraints and conserving integration (2010, unknown): “[18] and Yang and Laursen [19].”
A mortar method for energy‐momentum conserving schemes in frictionless dynamic contact problems (2009, background): “[9], Fischer and Wriggers [10], Brunssen et al.”
Isogeometric contact: a review (2014, background): “Extensions and further developments for large deformation problems can be found e.g. in Yang et al. (2005), Puso and Laursen (2004), Hesch and Betsch (2009), and Tur et al. (2012).”
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 ].”
A dual mortar approach for 3D finite deformation contact with consistent linearization (2010, methodology): “For simplicity, the adjacent element normals are not weighted in this implementation as proposed in [9].”
A large deformation frictional contact formulation using NURBS‐based isogeometric analysis (2011, background): “[32], Puso and Laursen [24], Puso et al.”
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].”
3D fluid–structure-contact interaction based on a combined XFEM FSI and dual mortar contact approach (2010, background): “[12,14,24,25, 39 ]) have demonstrated over the last decade”
Applying Nagata patches to smooth discretized surfaces used in 3D frictional contact problems (2014, methodology): “In recent years the Segment-to-Segment (STS) approach associated with the mortar method has also been successfully applied to solve large deformation sliding contact problems [20–23].”