A macro-element for incompressible finite deformations based on a volume-averaged deformation gradient

DOI10.1007/s00466-008-0250-xzbMath1173.74043OpenAlexW2062169496WikidataQ64017358 ScholiaQ64017358MaRDI QIDQ1015743

Peter Wriggers, E. F. I. Boerner

Publication date: 8 May 2009

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

Full work available at URL: https://doi.org/10.1007/s00466-008-0250-x

zbMATH Keywords

Hu-Washizu principle8-node brick continuum finite elementCosserat point macro-elementdeformable sub-elements

Mathematics Subject Classification ID

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

Related Items (1)

A framework for residual-based stabilization of incompressible finite elasticity: stabilized formulations and \(\overline F\) methods for linear triangles and tetrahedra

Cites Work

• Unnamed Item
• An improved 3-D brick Cosserat point element for irregular shaped elements
• Efficient implementation of quadrilaterals with high coarse-mesh accuracy
• Mixed finite element methods - reduced and selective integration techniques: a unification of concepts
• Computational modelling of impact damage in brittle materials
• A new 3-D finite element for nonlinear elasticity using the theory of a Cosserat point.
• Enhanced lower-order element formulations for large strains
• 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
• A FORMULATION OF THE QS6 ELEMENT FOR LARGE ELASTIC DEFORMATIONS
• Rational approach for assumed stress finite elements
• A new finite element based on the theory of a Cosserat point—extension to initially distorted elements for 2D plane strain
• On the Variational Foundations of Assumed Strain Methods
• A uniform strain hexahedron and quadrilateral with orthogonal hourglass control
• Geometrically non-linear enhanced strain mixed methods and the method of incompatible modes
• A non-conforming element for stress analysis
• Tetrahedral composite finite elements
• 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 stabilization technique to avoid hourglassing in finite elasticity
• A formulation for the 4‐node quadrilateral element
• A class of mixed assumed strain methods and the method of incompatible modes

This page was built for publication: A macro-element for incompressible finite deformations based on a volume-averaged deformation gradient