The presence of cracks in macrostructures creates heterogeneity which manifests itself by a change of the state of stress and strain in the structure. A crack in vibrating structures can lead to premature failure if it is not detected in time. Researchers have been working on the dynamics of cracked structures for decades to be able to monitor the structure and diagnose that fault at the earliest possible stage. In order to understand the mechanism of structural damage by cracking, a study based on the evaluation of the stress distribution in artificially damaged structures is conducted and an assessment of the level of damage is defined by calculating the static damage. This work was also interested to the evaluation of the stress intensity factor theoretically and numerically by energy approach. The results found in this study we were able to evaluate the effect of the single and the double notch on the mechanical behavior of structures subjected to tension. We also pointed out the criticality of the simple notch compared to the double notch.
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