The use of guided wave is widely used for inspection of long-range pipelines due to its propagation characteristic with low attenuation. Also, recently structural health monitoring (SHM) and condition monitoring (CM) is made a huge paradigm shift on inspection and monitoring of large structures. However, the most important issue of structure monitoring is quantitative defect sizing and interpretation from the signal. In this research work, the elastodynamic reciprocity is applied to calculate scattered wave amplitude calculation. The reciprocity is a well-known theorem to formulate the complicated scattering problem in a simpler calculation. The torsional wave mode on a cylindrical structure is explored by the reciprocity theorem. The scattered amplitude is presented as a function of incident wave frequency and defect size. The defects on the surface with an inclined angle are formulated to analyze the relation of defect angle and wavelength. The wave field is obtained by using the reciprocity theorem and a superposition technique. The theoretical result can provide signal interpretation for quantitative defect sizing. The closed-form solution of torsional wave scattering amplitude can be used for quantitative signal interpretation. It is expected to be used in the analysis of structure condition by SHM and CM approach as baseline data.
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