Mathematical modeling and analysis of hoop stresses in hydro-forming deep drawing of n-sided polygonal AA1100, galvanized commercial steel cups

Abstract

The main objective of this paper presents the analytical evaluation and mathematical modeling of hoop stresses of metallic cups of materials such as AA1100 and galvanized commercial steel in hydro forming deep drawing of n-sided polygonal cup. It is very important to find the magnitude of these stresses produced within the flange area. Two types of stresses will be established in the flange region. One of it is radial stress. It usually occurs radial outward from the side of the cup to the outer side of the blank material. Another is hoop stress. It can be generated in the flange. It is compressive in nature and perpendicular to the radial lines drawn to the side of the blank from the job axis. It is either parallel to the blank circumference or tangential to it. Inside of the blank material, these two stresses will be created by the use of punch force.