Abstract: Flat container is used to extrude large aluminum profiles. Because of the inner-hole geometry of flat container is approximate to ellipse, it is difficult to apply conventional conformal mapping method of single-connect region to stress calculation. The stress calculation formula and example of pressed flat container are given through complex function of single-connect region and residue theory. By the comparison with simulated result obtained by analysis, it shows that the theoretic solution is in good accord with numerical solution and conformal mapping method can be applied to practical stress calculation of flat container. Furthermore, the method gives support to the design of flat container.

Key words: Conformal mapping, Flat container, Numerical solution, Stress, Theoretic solution