There are mainly two methods of deep drawing analysis; experimental and analytical/numerical. Experimental analysis can be useful in analyzing the process to determine the process parameters that produce a defect free product, and the analytical/numerical modeling can be used to model and analyze the process through all stages of deformation. This approach is less time consuming and more econom...

In this thesis we study the problem of computing a straight-line representation of a planarization with a fixed combinatorial structure. By the results of Mnëv [Mnë88] and Shor [Sho91] this problem is as hard as the Existential Theory of the Reals (∃R-Complete). We present a heuristic called Geometric Planarization Drawing to compute a straight-line representation of a planarization. We take an...

In ultrasonic tube hydroforming, the tube is hydro formed while the ultrasonic vibration is applied to the die. Prior studies provide experimental proof that ultrasonic tube hydroforming reduces corner radius, improves lubrication and uniform thickness. Use of ultrasonic vibration can decrease friction at the tube-die interface. Few attempts have been made to analyze the wire drawing while the ...

Sapphire dies (of single-crystal aluminum oxide) are used to obtain interfacial conditions along the contact surface of the die in a strip-drawing operation. Several solutions based on slip-line field analysis and upper-bound techniques are available for metal-forming problems. However, these solutions generally neglect elasticity and work-hardening and assume that friction is constant along th...

there are mainly two methods of deep drawing analysis; experimental and analytical/numerical. experimental analysis can be useful in analyzing the process to determine the process parameters that produce a defect free product, and the analytical/numerical modeling can be used to model and analyze the process through all stages of deformation. this approach is less time consuming and more econom...

Although deep drawing process in the macro scale are well developed, the known concepts cannot be applied to micro deep drawing through directly scale down the specimen and tooling size due to the so-called size effects. Therefore, tensile test and micro deep drawing experiments were conducted to generate the knowledge for the micro deep drawing process. Stainless steel 304 foils with 4 differe...