Two torpedo boats of the Imperial German Navy, both built by Schichau-Werke at their Elbing shipyard have been named SMS S31:
, launched in 1886, was a small . She was renamed in 1910 and was sold for scrap in 1920. , launched in 1913, was a V25-class torpedo boat . She was sunk on 19 October 1915 after being mined during the Battle of the Gulf of Riga.
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