Materials

As mentioned in the previous sections, Zebulon treats the material as a very distinct entity - separate from the element and algorithm. This fact ensures that a particular material model will be available for any algorithm and element formulation (provided that they have the same primal-dual variable signature).

A detailed description of material laws and their use in Zebulon can be found in our Z-mat detail (PDF 369K) white paper. A summary of some of the material behaviors is given below:

Mechanical behaviors

  • Linear elasticity with thermal strain, and elasticity objects.
  • Maxwell viscoelasticity is a modular behavior with any number of shear and volumetric terms. Consistent tangent.
  • Hyper-elastic with Mooney, Rivlin, and Ogden models for compressible and incompressible behavior. Consistent tangent.
  • Porous plasticity is a modularized model using flow, isotropic, porous_criterion thermal strain, and adiabatic heating parts. Implicit integration with consistent tangent.
  • General elasto-viscoplastic (Gen-evp) is a highly modularized model for plasticity, viscoplasticity, single and polycrystals, damage, among other things. Uses elasticity, thermal strain, heat generation, global-handler, any number of potential, and interaction material objects. Explicit integration and implicit integration with consistent tangent.
  • Reduced gen-evp special formulation of gen-evp to eliminate kinematic variables. Up to 100 kinematic hardenings have been run. Implicit integration with consistent tangent, asymptotic integration for kinematic variables.
  • Cosserat elastic and plastic Cosserat materials have micropolar rotation influence, and a "material length" measure.
  • Multi-mat (under development) This advanced model is being developed for multi-phase materials and composites. Various homogenization formulations are being developed to assemble multi-material behavior from complete material files (such as damaging elastic and viscoplastic, etc).