Low-Mach-number and slenderness limit for elastic Cosserat rods and its numerical investigation

DOI10.3233/ASY-191581zbMath1465.35372arXiv1507.03432OpenAlexW2980894874MaRDI QIDQ5151336

Axel Klar, F. Baus, Raimund Wegener, Nicole Marheineke

Publication date: 17 February 2021

Published in: Asymptotic Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.03432

zbMATH Keywords

asymptotic analysisKirchhoff beamasymptotic-preserving schemedynamic elastic Cosserat rodlow-Mach-number-slenderness limit

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Polar materials (74A35) Micromechanical theories (74A60) Finite difference methods applied to problems in solid mechanics (74S20) PDEs in connection with mechanics of deformable solids (35Q74)

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Uses Software

• CoRdE

Cites Work

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