Abstract
We derive, formulate and analyze a new family of discretization schemes for elastodynamic contact problems which implicitly resolve the individual impact times for each node on the contact interface. Within our approach, information from the space discrete setting is incorporated into the time discretization by means of pointwise chosen parameters for the time discretization scheme. The members of this family can be interpreted as modified Newmark schemes, thus making them easily understandable and implementable. We prove that for certain parameter choices the algorithms are dissipative methods. Further, as our analysis and our numerical experiments show, a special solution dependent choice of parameters leads to a new space–time connecting discretization with a highly stable behavior of displacements, velocities and boundary stresses at the contact interface.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Computer Methods in Applied Mechanics and Engineering
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
