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...
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Published in | Mechanics research communications Vol. 55; pp. 86 - 88 |
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Main Authors | , |
Format | Journal Article |
Language | English |
Published |
Elsevier Ltd
01.01.2014
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Subjects | |
Online Access | Get full text |
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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. |
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ISSN: | 0093-6413 1873-3972 |
DOI: | 10.1016/j.mechrescom.2013.10.001 |