A mortar‐finite element formulation for frictional contact problems

By T. McDevitt, T. Laursen. 2000

237 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/a149738b6ea5cbac89c91fe54e8fd081675e2874

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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, methodology): “After the initial free-flight phase contact takes place within the time interval of approximately [6, 16].”
A mortar formulation for 3D large deformation contact using NURBS-based isogeometric analysis and the augmented Lagrangian method (2012, background): “Although several improvements have been achieved in the past few years, contact problems still represent a significant challenge for the analyst and cannot yet be considered solved with the same level of robustness and accuracy of many other problems in non-linear mechanics [10].”
Two dimensional mortar contact methods for large deformation frictional sliding (2005, methodology): “In Reference [14], the outer nodes of each element comprising each of the two contacting surfaces are projected onto the surfaces opposing them, as illustrated in Figure 4.”
Isogeometric contact analysis using mortar method (2012, methodology): “Furthermore, the mortar method was mathematically studied [27] and has been applied to various fields such as frictional contact problems [28], large deformation problems [29–31] and 3D mortar approach [32].”
Unilateral non‐linear dynamic contact of thin‐walled structures using a primal‐dual active set strategy (2007, unknown): “For further details of this approach, we refer to the work by Laursen and Love [18].”
Frictionless 2D Contact formulations for finite deformations based on the mortar method (2005, methodology): “McDevitt and Laursen (2000) introduce the mortar method with an intermediate contact surface to define the Lagrange multipliers on this surface.”
A finite deformation mortar contact formulation using a primal–dual active set strategy (2009, unknown): “Early mortar contact formulations in the regime of small deformations can, for example, be found in [10, 11].”
A formulation based on localized Lagrange multipliers for BEM–FEM coupling in contact problems (2008, methodology): “Later different proposals arrived; for example the work of McDevitt and Laursen [20] using the mortar method to variationally project displacements from contacting continua to an intermediate surface, more recently its application to segment contact by Puso and Laursen [28], the work of Fisher et al”