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Adhesive elastic plastic contact: theory and numerical simulation
Author(s) -
Gilabert F.A.,
Quintanilla M.A.S.,
Castellanos A.,
Valverde J.M.
Publication year - 2007
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.200610307
Subject(s) - van der waals force , work (physics) , simple (philosophy) , action (physics) , limit (mathematics) , structuring , mechanics , physics , mathematics , mathematical analysis , thermodynamics , quantum mechanics , law , philosophy , epistemology , molecule , political science
We examine the adhesive contact of an elastic‐plastic sphere and a rigid plane. We assume that the contact is normal and frictionless. First, a Molecular Dynamics (MD) simulation of the contact of an amorphous van der Waals solid is performed. Next, a simple model (EP) for the elastic plastic contact is presented, which has as asymptotic limit the singular model (SS) developed by Mesarovic and Johnson in [1]. Finally, the numerical results are quantitatively compared and discussed in relation to the EP and SS models, and qualitatively with Tomas' model [2]. Acknow This work has been supported by the Ministerio de Educación y Ciencia of the Spanish Government under contract number BFM2003‐1739, and by the Junta de Andalucía under project FQM‐421. A significant technical part of this work has been additionally performed under the Project HPC‐EUROPA (RII3‐CT‐2003‐506079), with the support of the European Community – Research Infrastructure Action under the FP6 “Structuring the European Research Area” Programme.

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