Efficient mortar-based algorithms for embedding 1D fibers into 3D volumes
Zeitschrift:
Proceedings in Applied Mathematics and Mechanics (PAMM)
Jahrgang:
20
Heftnummer:
1, Special Issue: 91st Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM)
Verlagsort:
Weinheim
Verlag:
John Wiley & Sons
Jahr:
2021
Seiten von - bis:
e202000151
Sprache:
Englisch
Abstract:
Abstract Many composite materials are based on 1D fibers being embedded into 3D solid volumes, e.g. carbon-fiber reinforced plastics in aerospace engineering or fiber-reinforced concrete in civil engineering to name only two prominent examples. The present contribution highlights the most important numerical methods and algorithmic building blocks for an efficient analysis of such systems based on cutting-edge finite element formulations for nonlinear beams and a novel beam-to-solid volume coupling approach inspired by classical mortar methods. A particular emphasis is put on the efficient parallel implementation for large-scale simulations, which includes suitable procedures for domain partitioning and geometry-based search. «
Abstract Many composite materials are based on 1D fibers being embedded into 3D solid volumes, e.g. carbon-fiber reinforced plastics in aerospace engineering or fiber-reinforced concrete in civil engineering to name only two prominent examples. The present contribution highlights the most important numerical methods and algorithmic building blocks for an efficient analysis of such systems based on cutting-edge finite element formulations for nonlinear beams and a novel beam-to-solid volume coupl... »