| | |
Summary: ERROR ESTIMATION AND ADAPTIVITY
IN STRAIN LOCALISATION PROBLEMS
WITH SOFTENING MATERIALS
Marino Arroyo
Pedro D ez
Antonio Huerta
September, 1997
E. T. S. d'Enginyers de Camins, Canals i Ports de Barcelona
Universitat Politecnica de Catalunya
i
Summary
The study and prediction of failure is one of the most challenging issues of mechanical
and structural engineering. In this context, an accurate analysis of strain localisation,
which typically triggers failure in many softening materials such as steel or concrete, is of
great interest. The classical limit-state methods used to study localisation phenomena are
insu cient, and the nite element method appears as a proper analysis tool.
Unfortunately, the numerical simulation of strain localisation in continuum mechanics
has to face two important di culties: the need of a mathematically consistent constitutive
model on one side, and of a cost-e ective computational strategy capable of capturing the
multi-scale nature of localisation problems on the other side. Several formulations have
|
