Transient dynamic analysis in layered structures with unilateral interfaces

Abstract

Restricted accessMoreSectionsView PDF ToolsAdd to favoritesDownload CitationsTrack Citations ShareShare onFacebookTwitterLinked InRedditEmail Cite this article Stavroulakis Georgios E. and Antes Heinz 2001Transient dynamic analysis in layered structures with unilateral interfacesPhil. Trans. R. Soc. A.3592541–2555http://doi.org/10.1098/rsta.2001.0907SectionRestricted accessTransient dynamic analysis in layered structures with unilateral interfaces Georgios E. Stavroulakis Georgios E. Stavroulakis Carolo Wilhelmina Technical University, Institute of Applied Mechanics, Spielmannstr. 11, D-38106 Braunschweig, Germany Google Scholar Find this author on PubMed Search for more papers by this author and Heinz Antes Heinz Antes Carolo Wilhelmina Technical University, Institute of Applied Mechanics, Spielmannstr. 11, D-38106 Braunschweig, Germany Google Scholar Find this author on PubMed Search for more papers by this author Georgios E. Stavroulakis Georgios E. Stavroulakis Carolo Wilhelmina Technical University, Institute of Applied Mechanics, Spielmannstr. 11, D-38106 Braunschweig, Germany Google Scholar Find this author on PubMed Search for more papers by this author and Heinz Antes Heinz Antes Carolo Wilhelmina Technical University, Institute of Applied Mechanics, Spielmannstr. 11, D-38106 Braunschweig, Germany Google Scholar Find this author on PubMed Search for more papers by this author Published:15 December 2001https://doi.org/10.1098/rsta.2001.0907AbstractHighly nonlinear, unilateral effects on interfaces are accurately modelled within the framework of non–smooth mechanics. Unilateral contact and friction interactions are prototypes of the above–mentioned effects. Like all boundary–only nonlinearities, unilateral interfaces are most suitable candidates for the application of boundary–element techniques. Another, possibly more significant, reason for using this approach is the high accuracy of approximation for both boundary displacements and boundary tractions which is attained. Typical cases of unilateral interfaces are studied in this paper by the boundaryelement method. Among them, a unilateral contact interface which leads to LCPBEM (linear complementarity problem–boundary–element method) problems related to variational inequalities, a frictional contact interface which leads to ICP–BEM (implicit complementarity problem–boundary–element method) problems related to implicit variational inequalities, or quasi–variational inequalities and an adhesive interface which leads to CP–BEM (critical–point–boundary–element method) problems related to hemi–variational inequalities. Appropriate extensions and relevant theoretical questions are briefly discussed in a short appendix. Previous ArticleNext Article VIEW FULL TEXT DOWNLOAD PDF FiguresRelatedReferencesDetailsCited by Koutsianitis P, Tairidis G, Drosopoulos G, Foutsitzi G and Stavroulakis G (2016) Effectiveness of optimized fuzzy controllers on partially delaminated piezocomposites, Acta Mechanica, 10.1007/s00707-016-1771-6, 228:4, (1373-1392), Online publication date: 1-Apr-2017. This Issue15 December 2001Volume 359Issue 1789Theme Issue ‘Non-smooth mechanics’ compiled by F. G. Pfeiffer Article InformationDOI:https://doi.org/10.1098/rsta.2001.0907Published by:Royal SocietyPrint ISSN:1364-503XOnline ISSN:1471-2962History: Published online15/12/2001Published in print15/12/2001 License: Citations and impact Keywordscomplementarity problemswave propagationdynamic analysisnon-smooth mechanicsboundary elements