MATEC Web Conf.
Volume 157, 2018Machine Modelling and Simulations 2017 (MMS 2017)
|Number of page(s)||8|
|Section||Theoretical and applied mathematics in engineering|
|Published online||14 March 2018|
Numerical modeling of the contact between three-dimensional regions with the use of FEM
Czestochowa University of Technology, Faculty of Mechanical Engineering and Computer Science, Institute of Mechanics and Machine Design Fundamentals, Dąbrowskiego 73, 42-201 Częstochowa, Poland
2 Czestochowa University of Technology, Faculty of Mechanical Engineering and Computer Science, Institute of Mathematics, Armii Krajowej 21, 42-201 Częstochowa, Poland
* Corresponding author: firstname.lastname@example.org
The numerical approach based on the finite element method (FEM) for modeling of mechanical interaction between three-dimensional objects is presented in the paper. The model of contact is based on the assumption that the nodes of the region which is the source of contact cannot overlap with the nodes of the region being the target. The procedure of the detection of collision between surfaces of the source and the target is discussed in details. The behaviour of surfaces being in contact depends on their rigidity and is numerically modeled in the case of perfectly rigid source and deformable target. Each modeled object has an independent mesh of finite elements. These meshes can be freely moved relative to each other. Example of calculation using original program written in C++ is presented and discussed.
Key words: computational mechanics / contact problem / finite element method / multi-mesh approach
© The Authors, published by EDP Sciences, 2018
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (http://creativecommons.org/licenses/by/4.0/).
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