Rot-free mixed finite elements for gradient elasticity at finite strains

DOI10.1002/NME.6592zbMATH Open1548.74082MaRDI QIDQ6553315

Jonas Wilhelm Ketteler, Daniel Balzani, Mira Schedensack, Johannes Riesselmann

Publication date: 11 June 2024

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

zbMATH Keywords

mixed finite elementsfinite strainssize effectsgradient elasticityhigher-order gradients

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Cites Work

• Title not available (Why is that?)
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• A gradient approach to localization of deformation. I. Hyperelastic materials
• Théorie des corps déformables.
• Three-dimensional isogeometric solutions to general boundary value problems of Toupin's gradient elasticity theory at finite strains
• A simple and efficient Hellinger-Reissner type mixed finite element for nearly incompressible elasticity
• NURBS-based formulation for nonlinear electro-gradient elasticity in semiconductors
• Theories of elasticity with couple-stress
• Micro-structure in linear elasticity
• Automation of Finite Element Methods
• Hardy space of exact forms on $\mathbb {R}^N$
• A three-dimensionalC¹finite element for gradient elasticity
• Finite elements for elasticity with microstructure and gradient elasticity
• Mixed and nonconforming finite element methods : implementation, postprocessing and error estimates
• C0 finite element discretization of Kirchhoff's equations of thin plate bending
• Linear Cosserat Elasticity, Conformal Curvature and Bounded Stiffness
• Mixed Finite Element Methods and Applications
• Microcontinuum Field Theories
• Stable splitting of polyharmonic operators by generalized Stokes systems
• Finite Elemente
• Three‐field mixed finite element formulations for gradient elasticity at finite strains
• A novel efficient mixed formulation for strain-gradient models

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