An iterative predictor–corrector approach for modeling static and kinetic friction in interactive simulations

Arikatla, Venkata Sreekanth; De, Suvranu

doi:10.1016/j.gmod.2015.10.001

Cited by 1 publication

(2 citation statements)

References 33 publications

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“…It is worth noting that there exist some restrictions of DDA contact model, such as the difficulties to choose appropriate contact spring stiffness and to find the convergent solution of open-close iterations. However, the proposed coupling scheme adopts the contact model inherited from the DDA rather than more accurate and stable linear complementarity formulation as reported in literatures [45][46][47][48][49][50] and the references therein. The reason lies in that the focus of this paper is the coupling scheme based on the original DDA but not its variants.…”

Section: Resultsmentioning

confidence: 99%

See 1 more Smart Citation

Discontinuous Deformation Analysis Coupling with Discontinuous Galerkin Finite Element Methods for Contact Simulations

Sun

Feng

Xiao

et al. 2016

Mathematical Problems in Engineering

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A novel coupling scheme is presented to combine the discontinuous deformation analysis (DDA) and the interior penalty Galerkin (IPG) method for the modeling of contacts. The simultaneous equilibrium equations are assembled in a mixed strategy, where the entries are derived from both discontinuous Galerkin variational formulations and the strain energies of DDA contact springs. The contact algorithms of the DDA are generalized for element contacts, including contact detection criteria, open-close iteration, and contact submatrices. Three representative numerical examples on contact problems are conducted. Comparative investigations on the results obtained by our coupling scheme, ANSYS, and analytical theories demonstrate the accuracy and effectiveness of the proposed method.

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Section: Resultsmentioning

confidence: 99%

“…where is identical to the expression in (48) and can be approximated by 0 defined in (50) when using small enough time step length. Then, substitute (19) and 21into (60) and (61), respectively, and we have…”

Section: Friction Submatricesmentioning

confidence: 99%