A Numerical Multiscale Method for Fiber Networks
Paper i proceeding, 2021
The problem analyzed in this work is the nodal displacement of a fiber network given an applied load. This problem is formulated as a linear system that is solved by using the aforementioned multiscale method. To solve the linear system, the multiscale method constructs a low-dimensional solution space with good approximation properties. The method is observed to work well for unstructured fiber networks, with optimal rates of convergence obtainable for highly localized configurations of the method.
Fiber network model
Multiscale method
Mechanical properties
Författare
Morgan Görtz
Stiftelsen Fraunhofer-Chalmers Centrum för Industrimatematik
Gustav Kettil
Stiftelsen Fraunhofer-Chalmers Centrum för Industrimatematik
Axel Målqvist
Chalmers, Matematiska vetenskaper, Tillämpad matematik och statistik
Andreas Mark
Stiftelsen Fraunhofer-Chalmers Centrum för Industrimatematik
Fredrik Edelvik
Stiftelsen Fraunhofer-Chalmers Centrum för Industrimatematik
14th WCCM-ECCOMAS Congress 2020
Virtual, ,
Ämneskategorier
Teknisk mekanik
Beräkningsmatematik
DOI
10.23967/wccm-eccomas.2020.031