Contributions to the Continuum Modelling of Strong Discontinuities in Two-Dimensional Solids
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ISBN: 84-95999-20-X
Editorial: CIMNE
Year of publication: 2003
Pages: 172
Index: Introduction Strain localization The continuum strong discontinuity approach Finite elements with embedded discontinuities: elemental enrichment Tracking strategies Stability and uniqueness issues Numerical examples Conclusions and future developments Tracing the equilibrium path Nodal enrichment
ISBN: 84-95999-20-X
Editorial: CIMNE
Year of publication: 2003
Pages: 172
Index: Introduction Strain localization The continuum strong discontinuity approach Finite elements with embedded discontinuities: elemental enrichment Tracking strategies Stability and uniqueness issues Numerical examples Conclusions and future developments Tracing the equilibrium path Nodal enrichment
Description
Computational Failure Mechanics has attracted increasing interest over the past years. However, there are still many aspects of this science that remains as open tasks. The study of the postcritical behavior of solids is by no means trivial and involves problems that range from finding an appropiate physical conception of the phenomenon to formulating correct and efficient mathematical and numerical models to describe it.
From the Continuum Mechanics point of view, failure is tightly related to strain localization, which can be defined as a material instability characterized by the presence of modes of intense deformation restricted to narrow regions in a solid. This general definition includes phenomena such as slip-lines in metals, shear bands in soils, and cracking in quasibrittle materials