Lobatto-type variational integrators for mechanical systems with frictional contact

Capobianco G, Harsch J, Leyendecker S (2023)

Publication Type: Journal article, Original article

Publication year: 2023

Journal

Computer Methods in Applied Mechanics and Engineering Elsevier

Book Volume: 418

DOI: 10.1016/j.cma.2023.116496

Abstract

his paper introduces a family of Lobatto IIIA-IIIB methods for simulating mechanical systems with frictional contact. These methods extend the existing schemes by addressing both bilateral and unilateral constraints, as well as set-valued Coulomb friction. The Lobatto IIIA-IIIB methods presented in this paper make a substantial contribution to the ongoing endeavor of developing event-capturing versions of high-order schemes.

By stating a generalized version of the principle of virtual action for nonsmooth mechanical systems, the integrators are derived from an appropriate discretization of it. The discrete contact laws are found by discretizing the impenetrabilty condition as well as the Newton-type frictional impact laws in an event-capturing way. The presented discrete contact laws exhibit no contact penetration and satisfy the involved unilateral constraints both on position and on velocity level. This behavior is showcased using benchmark examples.

Authors with CRIS profile

Giuseppe Capobianco Institute of Applied Dynamics Sigrid Leyendecker Institute of Applied Dynamics

Involved external institutions

Universität Stuttgart DE Germany (DE)

How to cite

APA:

Capobianco, G., Harsch, J., & Leyendecker, S. (2023). Lobatto-type variational integrators for mechanical systems with frictional contact. Computer Methods in Applied Mechanics and Engineering, 418. https://dx.doi.org/10.1016/j.cma.2023.116496

MLA:

Capobianco, Giuseppe, Jonas Harsch, and Sigrid Leyendecker. "Lobatto-type variational integrators for mechanical systems with frictional contact." Computer Methods in Applied Mechanics and Engineering 418 (2023).

BibTeX: Download