Enhanced lower-order element formulations for large strains

DOI10.1007/BF00356479zbMath0840.73059OpenAlexW2098019603MaRDI QIDQ1910937

L. P. R. Lyons, M. A. Crisfield, Gray F. Moita, Gordan Jelenić

Publication date: 4 July 1996

Published in: Computational Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00356479

zbMATH Keywords

co-rotational approachBiot stress procedurefour-noded quadrilateralsplane-strain analysis

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Finite element methods applied to problems in solid mechanics (74S05) Large-strain, rate-dependent theories of plasticity (74C20) Large-strain, rate-independent theories of plasticity (including nonlinear plasticity) (74C15)

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Cites Work

• Unnamed Item
• On instabilities in large deformation simple shear loading
• A unified approach to finite deformation elastoplastic analysis based on the use of hyperelastic constitutive equations
• A model for finite strain elasto-plasticity based on logarithmic strains: Computational issues
• Algorithms for static and dynamic multiplicative plasticity that preserve the classical return mapping schemes of the infinitesimal theory
• Quasi-incompressible finite elasticity in principal stretches. Continuum basis and numerical algorithms
• Finite-element formulations for problems of large elastic-plastic deformation
• Finite element method - The natural approach
• A note on enhanced strain methods for large deformations
• An arbitrary Lagrangian-Eulerian finite element method for incompressible hyperelasticity
• Improved versions of assumed enhanced strain tri-linear elements for 3D finite deformation problems
• Finite elements, finite rotations and small strains fo flexible shells
• A finite element formulation for problems of large strain and large displacement
• A hyperelastic-based large strain elasto-plastic constitutive formulation with combined isotropic-kinematic hardening using the logarithmic stress and strain measures
• Geometrically non-linear enhanced strain mixed methods and the method of incompatible modes
• A mixed finite element for the analysis of large inelastic strains
• A non-conforming element for stress analysis
• A CO-ROTATIONAL FORMULATION FOR 2-D CONTINUA INCLUDING INCOMPATIBLE MODES
• A FINITE ELEMENT FORMULATION FOR 3-D CONTINUA USING THE CO-ROTATIONAL TECHNIQUE
• A class of mixed assumed strain methods and the method of incompatible modes
• Non‐linear transient finite element analysis with convected co‐ordinates