Contact between spheres and general surfaces

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  • Universidade de Sao Paulo
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Original languageEnglish
Pages (from-to)686-716
Number of pages31
JournalComputer Methods in Applied Mechanics and Engineering
Volume328
Publication statusPublished - 28 Sept 2017

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.

Keywords

    Contact, Finite element method, Master–slave, Sphere, Surface

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Cite this

Contact between spheres and general surfaces. / Gay Neto, Alfredo; Pimenta, Paulo de Mattos; Wriggers, Peter.
In: Computer Methods in Applied Mechanics and Engineering, Vol. 328, 28.09.2017, p. 686-716.

Research output: Contribution to journalArticleResearchpeer review

Gay Neto A, Pimenta PDM, Wriggers P. Contact between spheres and general surfaces. Computer Methods in Applied Mechanics and Engineering. 2017 Sept 28;328:686-716. doi: 10.1016/j.cma.2017.09.016
Gay Neto, Alfredo ; Pimenta, Paulo de Mattos ; Wriggers, Peter. / Contact between spheres and general surfaces. In: Computer Methods in Applied Mechanics and Engineering. 2017 ; Vol. 328. pp. 686-716.
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