Mechanical behaviours

Hyperelasticity

• SaintVenantKirchhoffElasticity
• Signorini
• Ogden

Hyperviscoelasticity

We provide a general framework to build hyperviscoelastic behaviour. This framework is described here.

Viscoelasticity

• GeneralizedMaxwell
• This page describes how to implement the Skorohold-Olevsky Viscous Sintering (SOVS) model.
• This page describes how to implement Torelli’s behaviour describing the load induced thermal strain in concrete.
• This page describes the implementation of the ̀Burger_EDF_CIWAP_2021 which aims at modelling the following phenomena in concrete:
  • Elasticity
  • Drying shrinkage
  • Basic creep
  • Drying creep

Non-linear elasticity

• A non-linear elastic behaviour that mimics the Ramberg-Osgood plastic behaviour on monotonic loadings (useful in fracture analysis

Damage

• Marigo
• Mazars
• The implementation of the Fichant-La Borderie damage behaviour is described here

Plasticity

• IsotropicLinearHardeningPlasticity
• IsotropicLinearKinematicHardeningPlasticity
• The implementation of an orthotropic plastic behaviour with isotropic linear hardening is described here.
• The implementation of a multi-surface plastic behaviour (the Iwan behaviour) is described here.
• The implementation of a perfect plastic behaviour based on the Hosford equivalent stress is described here.
• The implementation of the Barlat Yld2004-18p behaviour is described here.
• The implementation of a perfect plastic behaviour based on the Green yield criterion is described here.
• The implementation of a multi-surface, compressible and perfect plastic behaviour using the Drucker-Prager yield criterion and a cap is described here
• An invariant-based implementation of the Mohr-Coulomb elasto-plastic model is described here

Viscoplasticity

• Hayhurst
• ChabocheViscoplasticity
• The implementation of an isotropic plastic behaviour with several kinematic variables following the Amstrong-Frederic evolution law is described here
• ImplicitNorton
• The implementation of the Méric-Cailletaud single crystal behaviour under the small and finite strain assumptions are described here

Homogenization

• The implementation of linear homogenization schemes in 3d elasticity for biphasic media is described here.
• The implementation of Sachs scheme and Taylor scheme show how to implement basic homogenized bounds with any behaviour laws on the phases using @BehaviourVariable.
• The implementation of Idiart’s scheme [1] for a maxwellian viscoelastic composite with oriented ellipsoid is available here
• The description of the implementation of a polycrystal behaviour based on the Berveiller-Zaoui homogenisation scheme using an explicit scheme is available. here
• \(\beta\)-rule can also be implemented with @BehaviourVariable and hence any behaviour law on each phase.
• A tutorial on implementation of Ponte-Castaneda bound [2] for a non-linear elastic composite is detailed here.
• A tutorial on implementation of the affine formulation from Masson et al. [3] for a viscoplastic polycrystal.

References