Coulomb frictional contact by explicit projection in the cone for finite displacement quasi-static problems

• Type: Article in International Scientific Journal
• Date: 2015

Authors

P. Areias (Author) Other; T. Rabczuk (Author) Other; F. J. M. Queirós de Melo (Author) Other; J. César de Sá (Author) FEUP

Journal

Title: Computational Mechanics

Vol. 55

Pages: 57-72

ISSN: 0178-7675

Publisher: Springer Nature

Indexing

ISI Web of Knowledge - 7 Citations

ISI Web of Science

Scopus - 0 Citations

Scientific classification

FOS: Engineering and technology > Mechanical engineering

CORDIS: Technological sciences > Engineering > Mechanical engineering

Other information

Authenticus ID: P-00A-46H

DOI: 10.1007/s00466-014-1082-5

Abstract (EN): We propose, in this paper, a distinct perspective on the solution of the Coulomb frictional contact problem. By combining the prediction/correction method for the contact force vector with the correction step being a cone projection and writing the friction cone surface in the quadratic form, we directly calculate the contact force. The distance along the friction cone normal is determined by solving a nonlinear problem in closed form. Numerical advantages of this projection are apparent for large values of friction coefficient. Six problems previously indicated as difficult to solve by the node-to-segment discretization and the operator split algorithm are here solved with the new projection algorithm. Discretization follows node-to segment and node-to-face derivations with gap vector defined in a global frame (without tangential and normal decomposition). In addition, we provide source codes for the 2D and 3D contact cases.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 16