A mixed B-bar formulation derived by a principle of virtual power for energy-momentum time integrations of fiber-reinforced continua

DOI10.1016/j.cma.2019.03.027zbMath1441.74243OpenAlexW2924454352MaRDI QIDQ1988005

Michael Groß, Julian Dietzsch, Chris Röbiger

Publication date: 16 April 2020

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2019.03.027

zbMATH Keywords

variational principlemixed finite element methodB-bar methodenergy-momentum schemeshigher-order accuracyfiber-reinforced continua

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Thermodynamics in solid mechanics (74A15) Optimization of other properties in solid mechanics (74P10)

Related Items (3)

Non-isothermal energy-momentum time integrations with drilling degrees of freedom of composites with viscoelastic fiber bundles and curvature-twist stiffness ⋮ An energy-momentum couple stress formula for variational-based macroscopic modelings of roving-matrix composites in dynamics ⋮ A new mixed finite element formulation for reorientation in liquid crystalline elastomers

Uses Software

• Gmsh
• PARDISO

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Galerkin-based energy-momentum consistent time-stepping algorithms for classical nonlinear thermo-elastodynamics
• Variational and projection methods for the volume constraint in finite deformation elasto-plasticity
• An improved EAS brick element for finite deformation
• Computational inelasticity
• Three-dimensional isogeometric solutions to general boundary value problems of Toupin's gradient elasticity theory at finite strains
• A computational framework for polyconvex large strain elasticity
• Improved versions of assumed enhanced strain tri-linear elements for 3D finite deformation problems
• A mixed variational framework for the design of energy-momentum schemes inspired by the structure of polyconvex stored energy functions
• Variational-based higher-order accurate energy-momentum schemes for thermo-viscoelastic fiber-reinforced continua
• Variational-based locking-free energy-momentum schemes of higher-order for thermo-viscoelastic fiber-reinforced continua
• A novel mixed finite element for finite anisotropic elasticity: the SKA-element simplified kinematics for anisotropy
• An anisotropic fibre-matrix material model at finite elastic-plastic strains
• Nichtlineare Finite-Element-Methoden
• Energy and momentum conserving elastodynamics of a non-linear brick-type mixed finite shell element
• On the formulation of enhanced strain finite elements in finite deformations
• Mixed-enhanced formulation for finite deformation axisymmetric-torsion
• A compendium of FEM integration formulas for symbolic work
• Assumed strain finite element methods for conserving temporal integrations in non-linear solid dynamics
• Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities
• Tetrahedral elements for fluid flow
• A systematic construction of B-bar functions for linear and non-linear mixed-enhanced finite elements for plane elasticity problems
• Mixed Finite Element Methods and Applications

This page was built for publication: A mixed B-bar formulation derived by a principle of virtual power for energy-momentum time integrations of fiber-reinforced continua