Hyperelasticity and physical shear buckling of a block predicted by the Cosserat point element compared with inelasticity and hourglassing predicted by other element formulations

DOI10.1007/s00466-006-0119-9zbMath1167.74044OpenAlexW2034508005MaRDI QIDQ1015655

M. B. Rubin, Mahmood Jabareen

Publication date: 8 May 2009

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

Full work available at URL: https://doi.org/10.1007/s00466-006-0119-9

zbMATH Keywords

path-dependenceABAQUS, ADINA, ANSYSenhanced mixed elementsFEAP

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Finite element methods applied to problems in solid mechanics (74S05)

Related Items (15)

A six node plane strain triangular Cosserat point element (\textit{CPE}) for nonlinear elasticity ⋮ Strongly objective numerical implementation and generalization of a unified large inelastic deformation model with a smooth elastic-inelastic transition ⋮ A solid-shell Cosserat point element (SSCPE) for elastic thin structures at finite deformation ⋮ A ten node tetrahedral Cosserat point element (CPE) for nonlinear isotropic elastic materials ⋮ Generalized modal element method. I: Theory and its application to eight-node asymmetric and symmetric solid elements in linear analysis ⋮ A 3D Cosserat point element (CPE) for nonlinear orthotropic solids: Generalization for an initially distorted mesh and an arbitrary orientation of material orthotropy ⋮ Conical indentation of incompressible rubber-like materials ⋮ Cosserat point element \((CPE)\) for finite deformation of orthotropic elastic materials ⋮ A Cosserat point element (CPE) for nearly planar problems (including thickness changes) in nonlinear elasticity ⋮ An improved Cosserat point element for axisymmetric problems in nonlinear elasticity: Comparison with other element formulations ⋮ Failures of the three‐dimensional patch test for large elastic deformations ⋮ An improved 3-D brick Cosserat point element for irregular shaped elements ⋮ Assessment of 4-node EAS-ANS shell elements for large deformation analysis ⋮ Modified torsion coefficients for a 3-D brick Cosserat point element ⋮ The Cosserat Point Element as an Accurate and Robust Finite Element Formulation for Implicit Dynamic Simulations

Uses Software

• ANSYS
• ADINA
• ABAQUS
• FEAP

Cites Work

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• Hourglass control in linear and nonlinear problems
• A new 3-D finite element for nonlinear elasticity using the theory of a Cosserat point.
• Total hourglass control for hyperelastic materials
• Improved versions of assumed enhanced strain tri-linear elements for 3D finite deformation problems
• Response of a nonlinear elastic general Cosserat brick element in simulations typically exhibiting locking and hourglassing
• On the Theory of a Cosserat Point and Its Application to the Numerical Solution of Continuum Problems
• On the Numerical Solution of One-Dimensional Continuum Problems Using the Theory of a Cosserat Point
• A uniform strain hexahedron and quadrilateral with orthogonal hourglass control
• Geometrically non-linear enhanced strain mixed methods and the method of incompatible modes
• A stabilization technique to avoid hourglassing in finite elasticity
• A class of mixed assumed strain methods and the method of incompatible modes
• Cosserat theories: Shells, rods and points

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