We study the phase diagram of an extended parafermion chain, which, in addition to terms coupling parafermions on neighbouring sites, also possesses involving four sites. Via a Fradkin--Kadanoff transformation chain is shown be equivalent non-chiral $\mathbb{Z}_3$ axial next-nearest neighbour Potts model. discuss possible experimental realisation using hetero-nanostructures. The contains severa...

Formability of Tailor Welded Blank (TWB) is an important parameter which limits this kind of blanks usage. A forming criterion for tailor welded blank is presented based on the analytical model in this research. This criterion suggests Limit Strength Ratio (LSR) and Limit Thickness Ratio (LTR) for forming limit of TWB. When thickness ratio or strength ratio in tailor welded blank is greater tha...

forming limit curve (flc) is an important tool for evaluation of formability of sheet metals subjected to different loading. free bulge of aluminume tubes has been investigated numerically to obtain flc. to verify the numerical results one experimental setup has been manufactured which has the ability of controlling the internal pressure and axial feed. in this study, time and zone of bursting ...

Abstract Multi-fidelity optimization, which complements an expensive high-fidelity function with cheaper low-fidelity functions, has been successfully applied in many fields of structural optimization. In the present work, exemplary cross-die deep-drawing optimization problem is investigated to compare different objective functions and assess performance a multi-fidelity efficient global techni...