Abstract
We propose a novel Lagrange-multiplier method for mesh tying in R 2 that passes a linear patch test for subdomains with non-coincident interfaces. This capability is required in contact problems and finite element analysis of complex bodies that were broken into simpler shapes to aid grid generation, and where independent descriptions of a shared curved boundary may not necessarily match. In mortar methods Lagrange multipliers are defined on one of the sides and field continuity is enforced by projecting data from the other side. For some interface configurations, this approach may fail to pass a linear patch test. In our method constraints express equilibrium of weighted field averages on the non-matching interfaces. As a result, selection of master and slave sides, a projection operator, or additional meshing are not required. Numerical results for several prototype mesh-tying problems illustrate the attractive computational properties of the new method.
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.
