Contact between rough rock surfaces using a dual mortar method

Planta, Cyrill von; Vogler, Daniel; Zulian, Patrick; Saar, Martin O.; Krause, Rolf

doi:10.1016/j.ijrmms.2020.104414

Cited by 6 publications

(2 citation statements)

References 38 publications

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“…For multi-scale simulations in mechanics, mortar methods can be used to couple molecular dynamics simulations with finite element approximations using an overlapping decomposition approach. Contact problems in mechanics can efficiently be dealt with using mortar methods for the coupling between surfaces [15,59], and coupling across dimension or non-conforming meshes can be used for the simulation of flow in fracture networks in geo-sciences [5,66,74,75]. Finally, mortar methods can also be employed to build multilevel approximation spaces for multigrid methods, thereby serving for the construction of linear or non-linear multigrid methods on complex geometries [16,85].…”

Section: Coupled Simulations With Mortar Methods In Hpcmentioning

confidence: 99%

Frontiers in Mortar Methods for Isogeometric Analysis

Hesch

Khristenko

Krause

et al. 2022

Non-Standard Discretisation Methods in Solid Mechanics

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Complex geometries as common in industrial applications consist of multiple patches, if spline based parametrizations are used. The requirements for the generation of analysis-suitable models are increasing dramatically since isogeometric analysis is directly based on the spline parametrization and nowadays used for the calculation of higher-order partial differential equations. The computational, or more general, the engineering analysis necessitates suitable coupling techniques between the different patches. Mortar methods have been successfully applied for coupling of patches and for contact mechanics in recent years to resolve the arising issues within the interface. We present here current achievements in the design of

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Section: Coupled Simulations With Mortar Methods In Hpcmentioning

confidence: 99%

Frontiers in Mortar Methods for Isogeometric Analysis

Hesch

Khristenko

Krause

et al. 2022

Non-Standard Discretisation Methods in Solid Mechanics

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“…It is found that the mortar embedded mesh method (e.g., References 5 and 38) has a common disadvantage shared by other mortar formulations, that is, leading to saddle-point problems with the Lagrange multiplier as additional unknowns and hence introducing difficulties to solving the resultant linear equation system. In contrast, the dual mortar method, [43][44][45][46][47][48][49][50][51][52] that is, the mortar method using the dual Lagrange approach, can condense the Lagrange multiplier and hence the computational efficiency can be improved. However, the combination of dual mortar contact method and embedded mesh method has not yet been reported.…”

Section: Introductionmentioning

confidence: 99%

A dual mortar embedded mesh method for internal interface problems with strong discontinuities

Zhou

Zhang

2022

Numerical Meth Engineering

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Internal interface problems with strong discontinuities for inclusion-matrix systems are common and also challenging in engineering. In this work, a dual mortar embedded mesh method is proposed. An XFEM (extended finite element method) model is used for the underlying matrix, which can then be meshed without considering internal boundaries. The inclusions are treated by conventional FEM (finite element method) model. The FEM-XFEM coupling is treated by the dual mortar method, which uses the XFEM side to carry the Lagrange multiplier for imposing inclusion-matrix contact constraints. The present method is first validated by contact patch tests as well as bending tests and then applied to simulate strong discontinuities arising from bolt-rock and pile-soil interactions. The numerical results indicate that the present method is capable of simulating the internal interface problems with high accuracy, computational efficiency as well as mesh convenience.

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