Flexibility of metal expansion joints

A metal expansion joint is subjected to a lateral force at a free end. Qualitatively speaking, it can be bent. In quantitative terms, what is the minimum value of its bending radius? This has a direct relationship with the geometric parameters of the expansion joints. Starting from the purely curved condition, the width of the half wave crest and the half trough are taken as the traces from the assumption of the axial section of the metal expansion joint in the bending state. And corrugated geometry to analyze.
The ray distance of metal expansion joints is correspondingly doubled. Under the extreme conditions, the maximum stress above the deflection curve, the maximum deformation under deployment, the maximum stress under the curve of the brain, the maximum contraction deformation, and although the axis of the line is deflected, it does not stretch or shorten.