A Finite Element Analysis of Electromagnetic Forming for Tube Expansion

Abstract

The electromagnetic field and dynamic deformation analyses for tube expansion by electromagnetic forming were performed by the finite element method. A realistic pressure distribution was calculated by taking into account both coil and workpiece. The calculated values of displacement along the tube axis and with time were in very good agreement with the measured ones.

Electromagnetic Forming by Distributed Forces in Magnetic and Nonmagnetic Materials

“…Our theory can be applied for nonaxially symmetric geometries as well. However, for these more general geometries the pertinent differential equations, both the electromagnetic and elastic ones, have to be solved by numerical methods, e.g., a finite-element method developed by Lee et al [19], [20] and Besbes et al [21].…”

“…It is noted that, when no matter is present in , both terms will vanish. As a consequence, in (19) and (20) can be conjectured to be the driving volume source densities of body force in the elastodynamic field equations that govern the behavior of dynamic stress and particle velocity in mechanically deformable matter. In conclusion, we have found that in an inhomogeneous medium, the total volume force consists of two forces; see (19)- (20).…”

“…As a consequence, in (19) and (20) can be conjectured to be the driving volume source densities of body force in the elastodynamic field equations that govern the behavior of dynamic stress and particle velocity in mechanically deformable matter. In conclusion, we have found that in an inhomogeneous medium, the total volume force consists of two forces; see (19)- (20). Later, we present some numerical results for these forces in a piecewise homogeneous material where these two forces still exist due to the jump in permittivity and permeability.…”

Inclusion of temperature effects in a model of magnetoelasticity

“…This is obtained as (16) A special case in the calculation of the Green's function is represented by . For this case, we have for for for (17) The general solution of (8) is given by (18) where the coefficients and are obtained from the boundary conditions (19) with from (16). Thus, the coefficients and may be calculated as (20) With the particular solution in (10) and with the general solution in (18), the solution for in (9) is obtained.…”

The effect of tube length on magnetic pressure in tube electromagnetic bulging

“…Recently, the numerical simulation method has become more and more widely used in the analysis of magnetic pressure in electromagnetic forming. And it is reported that the precision of the results is greatly enhanced [4,5].…”