How a singularity forms in continuum damage mechanics

•We introduce a new concept for how a singularity arises in a continuous region.•This research possibly forms a missing link between fracture mechanics and damage mechanics.•We illustrate a possible sequence of internal damage processes that lead to the singularity. In this work we show how a singul...

Full description

Saved in:
Bibliographic Details
Published inMechanics research communications Vol. 55; pp. 86 - 88
Main Authors Voyiadjis, George Z., Kattan, Peter I.
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.01.2014
Subjects
Damage mechanics
Fracture mechanics
Singularity
Damage mechanics
Singularity
Fracture mechanics
Online AccessGet full text

Cover

More Information
Summary:•We introduce a new concept for how a singularity arises in a continuous region.•This research possibly forms a missing link between fracture mechanics and damage mechanics.•We illustrate a possible sequence of internal damage processes that lead to the singularity. In this work we show how a singularity arises in a continuous region within the framework of continuum damage mechanics. We postulate and illustrate mathematically the internal damage processes leading to a singularity. It is not the aim of this work to show where, when, or why the singularity forms – just how it forms. The singularity could be interpreted in various ways – it could be the crack tip of a forming micro-crack, the tip of a forming micro-void, or the tip of other types of micro-defects. It is understood that when the singularity forms the process of fracture initiates. Thus this work could potentially provide a crucial link between the subjects of damage mechanics and fracture mechanics.
ISSN:0093-6413
1873-3972
DOI:10.1016/j.mechrescom.2013.10.001