SUMMARYThis 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 thenremeshing steps), by introducing material mesh velocities and accelerations and spatial mesh velocities and accelerations.