Application of inverse finite element method in tube hydroforming modeling

Einolghozati, Mona; Shirin, Mehdi Bostan; Assempour, Ahmad

doi:10.1016/j.apm.2012.11.005

Cited by 6 publications

(1 citation statement)

References 12 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…They used deformation theory of plasticity and large strain displacement relations in their study and their formulations led to a nonlinear system of equations that should be solved by numerical methods. Based on the work of Liu and Karima, 10 Assempour and coworkers 11,12 applied infinitesimal strain equations and developed a technique called unfolding method. Their study resulted in a linear system of equations without convergence problems involved in nonlinear methods.…”

Section: Introductionmentioning

confidence: 99%

A new mapping technique to consider intermediate stages in multistep deep drawing

Shirin

Assempour

2013

Proceedings of the Institution of Mechanical Engineers, Part C:

Self Cite

View full text Add to dashboard Cite

The inverse solution is helpful to determine the drawability of a part and drawing parameters at the initial design stage. The usual inverse algorithms consider the drawing process that occurs in one step and therefore they are not able to analyze the processes which need more than one drawing step. Therefore, multistep inverse solution has been used for such problems. The multistep inverse solution deals with finding the initial guesses of nodal positions on intermediate stages and solving inverse equations between two consecutive steps. In this paper, a new mapping method has been developed to find the initial nodal positions on intermediate stages and the unfolding technique has been applied to find the final nodal positions on the blank sheet. The proposed method would obtain a system of equations without convergence problems. Two examples have been considered to demonstrate the capability of the proposed modeling technique. First, a two-stage drawing process of a circular cup has been analyzed and the results have been compared with the experiment results. Second, in order to apply the technique on a non-axisymmetric part, a multistage drawing of a square cup has been examined and the results have been reported.

show abstract

Section: Introductionmentioning

confidence: 99%