An explosive fragmentation munition having a longitudinal axis which includes a cylindrical shell portion having a thickness and an interior; a rounded shell portion having a thickness and an interior, the rounded shell portion being disposed at a front end of the cylindrical shell portion; an explosive disposed in the interiors of the cylindrical shell portion and the rounded shell portion; wherein the thickness of the rounded shell portion equals the thickness of the cylindrical shell portion where the rounded shell portion joins the cylindrical shell portion, and wherein the thickness of the rounded shell portion increases in a forward direction along the longitudinal axis.