A second order approach for finite deformation implicit contact analysis, including friction, in deformable bodies

• Type: Article in International Conference Proceedings Book
• Date: 2004

Authors

Pedro Miguel A. Areias (Author) Other; José César de Sá (Author) FEUP

Conference proceedings International

Title: MATERIALS PROCESSING AND DESIGN: MODELING, SIMULATION AND APPLICATIONS, PTS 1 AND 2

Pages: 2192-2197

8th International Conference on Numerical Methods in Industrial Forming Processes

Columbus, OH, JUN 13-17, 2004

Indexing

ISI Web of Knowledge - 0 Citations

Other information

Authenticus ID: P-000-D6N

DOI: 10.1063/1.1766860

Abstract (EN): Forming processes involve unilateral contact action from tools into workpiece. Also self-contact may emerge in a variety of situations, some of which are technically undesirable. Additionally, it is known that the consideration of tool deformation may also be important in certain circumstances. Nevertheless the finite deformation implicit contact analysis, including friction, of 3D deformable bodies is not yet fully developed and robust to be applied in large-scale applications. The non-penetration of the solids between each other (and themselves) and the arising friction effects between the interacting surfaces due to interaction of micro-asperities in tangential movement are here addressed. The finite element treatment of the non-penetration is commonly based on the imposition of inequality constraints. The proposed method, in the context of an implicit solution, allows the combination of both the standard Rockafellar method for extending the Augmented Lagrangian to inequality constraints and a second order exponential method of multipliers, keeping the quadratic convergence properties of the Newton method adopted for the primary variables. This particular form of the Lagrangian part of the total potential plays a very important role in the satisfaction of the non-penetration constraints. The use of the so-called constraint active set strategy is circumvented and therefore the same contact elements can be active during each load increment. Crucial aspects of friction and the calculation of the apparent contact area are also presented paper.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 6