The paper contains a comprehensive literature review on academic research related to the influence of the presence of a material discontinuity (crack, defect) in a beam-shape structure of constant section and isotropic properties in measured vibration response. The methods are categorized according to the following criteria; first, Analytical & numerical vs experimental approach, Euler-Bernoulli beam model vs Timoshenko beam model, model-based vs non-model based, detection of damage vs location of damage, linear vs non-linear methods, and number of required measured data. This extensive literature review on the damage detection investigation helps to highlight the relevant research gaps to be tackled for a better understanding of the relationship between the propagation of a discontinuity in an isotropic material and the modification of its dynamic response.
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