Numerical Study on Single Point Incremental Sheet Metal Forming Process
-Single Point Incremental Sheet Forming (SPIF) is an innovative forming approach for sheet materials. In this process, the forming tool is moved along a predefined tool path which is a series of contour constructed a final shape of product by using numerical controlled technology. This paper investigated finite element analysis simulation to predict the mechanical failures in single point incremental sheet metal forming (SPIF). In the present paper, some of these aspects, namely, the phenomenon of the wall thickness overstretch along depth and the effect of the tool path on the distribution of the wall thickness using finite element simulations etc. are investigated. It is observed from the analysis that the single point incremental sheet metal forming is very much time consuming and also the depth of stretch with different step size and tool diameters have been implemented.
Finite Element Analysis Verification of Experimental Work Results of a Single Point Incremental Sheet Metal Forming of Aluminum 6061
In this paper, finite-element modeling (FEM) was developed to simulate the incremental sheet metal forming technique. The study mainly focused on the manufacture of complex shapes and modeled using ABAQUS/Explicit finite-element code as a simulation tool. Accordingly, a series of simulation trials have been carried out and the obtained results validated via experimental tests. The results indicated that the increasing of incremental depth increased the deformation force and this causing an increase of the stress. Also, the increase of the incremental depth from 0.5 mm to 1.0 mm increasing the sheet thinning from 0.8 mm to 0.698 mm. Moreover, the increasing of feed rate increased the thinning with the same value for both of FEM and experimental tests. Furthermore, the results showed that the incremental depth has a significant effect on the surface roughness and sheet thickness and that feed rate have found to be the second effective parameter.
Mahler functions and transcendence
Transcendence theory of mahler functions of one variable.- Transcendence theory of mahler functions of several variables.- Algebraic independence of mahler functions and their values.- Applications of elimination theory.- Regular sequences and mahler functions.