A total ALE FE formulation for axisymmetric and torsional problems (including viscoplasticity, thermodynamic coupling and dynamics)

This paper—first—extends a recent ‘assumed enhanced deformation gradient’ finite ring(segment) element (Int. J. Numer. Methods Eng. 2001; 50:899–918.) to Arbitary Lagrange Euler (ALE) computations, by setting up the assumed tensor on the computational configuration, and—second—shows an elegant way of incorporating dynamics into real ALE computations (no splitting into purely—Lagrange steps and then— remeshing steps), by introducing material mesh velocities and accelerations and spatial mesh velocities and accelerations. Copyright q 2006 John Wiley & Sons, Ltd