An improved 3-D brick Cosserat point element for irregular shaped elements

DOI10.1007/S00466-007-0158-XzbMath1168.74048OpenAlexW1965383670MaRDI QIDQ1015706

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/s00466-007-0158-x

zbMATH Keywords

strain energy functionnonlinear elasticityhourglassingmatched solution

Mathematics Subject Classification ID

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

Related Items (11)

A six node plane strain triangular Cosserat point element (\textit{CPE}) for nonlinear elasticity ⋮ A ten node tetrahedral Cosserat point element (CPE) for nonlinear isotropic elastic materials ⋮ A 3D Cosserat point element (CPE) for nonlinear orthotropic solids: Generalization for an initially distorted mesh and an arbitrary orientation of material orthotropy ⋮ 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 ⋮ A Cosserat Point Element (CPE) for the Numerical Solution of Problems in Finite Elasticity ⋮ Failures of the three‐dimensional patch test for large elastic deformations ⋮ A macro-element for incompressible finite deformations based on a volume-averaged deformation gradient ⋮ 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

• Unnamed Item
• ABAQUS
• FEAP

Cites Work

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• Influence of membrane stresses on postbuckling of rectangular plates using a nonlinear elastic 3-D cosserat brick element
• Hyperelasticity and physical shear buckling of a block predicted by the Cosserat point element compared with inelasticity and hourglassing predicted by other element formulations
• 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
• Assumed strain stabilization of the eight node hexahedral element
• Response of a nonlinear elastic general Cosserat brick element in simulations typically exhibiting locking and hourglassing
• Numerical solution of axisymmetric nonlinear elastic problems including shells using the theory of a Cosserat point
• Reciprocal theorem for a linear elastic Cosserat interphase with general geometry
• A new finite element based on the theory of a Cosserat point—extension to initially distorted elements for 2D plane strain
• Geometrically non-linear enhanced strain mixed methods and the method of incompatible modes
• A uniform deformation gradient hexahedron element with artificial hourglass control
• A class of mixed assumed strain methods and the method of incompatible modes

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