Contact between spheres and general surfaces

verfasst von
Alfredo Gay Neto, Paulo de Mattos Pimenta, Peter Wriggers
Abstract

This work presents a mathematical model to establish the weak form and tangent operator contributions due to contact between spherical surfaces and general surfaces. Normal and friction components are included, such as dissipative actions. The main concern herein is the proper consideration of the kinematics of the spherical surface and its influence on contact forces, including the appropriate description of the spherical motion by gap functions in normal and tangential directions. This leads to the possibility of dealing with complex kinematics of rolling or alternating rolling/sliding of the spherical surface, mapping its motion on another general surface. To achieve that, the model is based on rotational and translational degrees of freedom used to map the motion of contacting surfaces. One may employ such strategy for interactions between spheres and rigid or flexible bodies, modeled using finite element meshes. As examples, parameterizations of rigid and flexible surfaces are proposed and used. Practical applications are shown, with usage of beam and shell finite elements, experiencing contact interactions.

Organisationseinheit(en)
Institut für Kontinuumsmechanik
Externe Organisation(en)
Universidade de Sao Paulo
Typ
Artikel
Journal
Computer Methods in Applied Mechanics and Engineering
Band
328
Seiten
686-716
Anzahl der Seiten
31
ISSN
0045-7825
Publikationsdatum
28.09.2017
Publikationsstatus
Veröffentlicht
Peer-reviewed
Ja
ASJC Scopus Sachgebiete
Numerische Mechanik, Werkstoffmechanik, Maschinenbau, Allgemeine Physik und Astronomie, Angewandte Informatik
Elektronische Version(en)
https://doi.org/10.1016/j.cma.2017.09.016 (Zugang: Geschlossen)
 

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