Do you wonder what these figures are about? These are deformations
predicted using a finite element model of a compressed
specimen using a classical softening continuum theory.
See a strange mesh sensitivity of the results?
You can not trust the numerical solution any more!
It is because the deformations attempt to localize in the thinnest
possible shear band for each mesh. It is not correct.
The width of the shear band must be approximately equal for
each mesh. Click on the picture to see the correct results.
If you are curious how I got them,
look in my articles,
conference papers,
in my doctoral thesis
or habilitation monograph.
Hint: you have to use an enhanced continuum description, for
instance a higher-order gradient-dependent model.
This research has been expanding in the following directions:
- Formulation and discretization of gradient-enhanced continuum
models;
- Numerical analysis of material instabilities and strain localization;
- Gradient damage coupled to plasticity for two- and
three-dimensional analysis of failure;
- Large strain gradient plasticity and damage for ductile materials.
For successful numerical simulations investigations
on suitable discretization methods have been required, including:
- Finite element formulations for coupled (multifield) problems;
- Meshless methods for nonlinear mechanics, in particular the Element-Free Galerkin method.
Further research should include the integration of continuum
and discontinuum FE modelling of localized deformation and failure.
For more information about our reseach work please write to jerzy.pamin@pk.edu.pl.
