Locking-Free Mixed Finite Element Methods and Their Spurious Hourglassing Patterns

DOI10.1007/978-3-030-87312-7_19OpenAlexW4226103272MaRDI QIDQ5051029

Moritz Hille, Robin Pfefferkorn, Peter Betsch

Publication date: 18 November 2022

Published in: Current Trends and Open Problems in Computational Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-87312-7_19

zbMATH Keywords

neo-Hookean materialelastoplastic materialenhanced assumed strainHu-Washizu-like variational principlenecking circular baropened spherical shell

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Nonlinear elasticity (74B20) Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) (74C05) Finite element methods applied to problems in solid mechanics (74S05) Shells (74K25)

Related Items (1)

Hourglassing‐ and locking‐free mesh distortion insensitive Petrov–Galerkin EAS element for large deformation solid mechanics

Cites Work

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• Variational and projection methods for the volume constraint in finite deformation elasto-plasticity
• An improved EAS brick element for finite deformation
• Algorithms for static and dynamic multiplicative plasticity that preserve the classical return mapping schemes of the infinitesimal theory
• A note on enhanced strain methods for large deformations
• Improved versions of assumed enhanced strain tri-linear elements for 3D finite deformation problems
• On the formulation of enhanced strain finite elements in finite deformations
• Rational approach for assumed stress finite elements
• Geometrically non-linear enhanced strain mixed methods and the method of incompatible modes
• Mixed Finite Element Methods and Applications
• A class of mixed assumed strain methods and the method of incompatible modes

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