• Medientyp: E-Artikel
  • Titel: Low‐order locking‐free mixed finite element formulation with approximation of the minors of the deformation gradient
  • Beteiligte: Kraus, Alex; Wriggers, Peter; Viebahn, Nils; Schröder, Jörg
  • Erschienen: Wiley, 2019
  • Erschienen in: International Journal for Numerical Methods in Engineering, 120 (2019) 8, Seite 1011-1026
  • Sprache: Englisch
  • DOI: 10.1002/nme.6168
  • ISSN: 0029-5981; 1097-0207
  • Schlagwörter: Applied Mathematics ; General Engineering ; Numerical Analysis
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  • Beschreibung: <jats:title>Summary</jats:title><jats:p>In this work, a low‐order mixed finite element formulation for three‐dimensional nonlinear elastic problems is presented. The main goal of this paper is to develop a robust and efficient element formulation to overcome locking arising in the cases of hyperelastic bending, quasi‐incompressibility, and anisotropy. For this, a low‐order discretisation of a five‐field Hu‐Washizu functional written in terms of the minors of the Cauchy‐Green tensor is used. For the tested boundary value problems, the proposed element formulation is more accurate and computational efficient than comparable element formulations.</jats:p>