Abstract
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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