An elastic bandage is disclosed, enabling the bandage to be applied with improved ease, predictability and controllability, even on body parts having variable circumference. The bandage comprises an elongate strip of a stretchable elastic textile material, wherein a first set of repeated markings are provided and distributed along the longitudinal direction of the elongate strip for correlation of markings within different turns, allowing turns having the same length of unstretched elastic bandage to be wrapped and stretched around various circumferences with different yield rates. Further, the elastic property of the elongate strip is such that the pressure exerted by such turns having the same length of unstretched elastic bandage varies less than 30% over a range of approximately circular circumferences providing a range of yield rates from &lambda1 to &lambda2, wherein &lambda2/&lambda1>1.8.