The Variational Modeling of Hierarchical Structured Deformations

Hierarchical (first-order) structured deformations are studied from the variational point of view. The main contributions present research first steps, at theoretical level, to establish a framework minimize mechanically relevant energies defined on hierarchical deformations. Two results obtained here: (i) an approximation theorem and (ii) assignment energy deformation by means iterative procedure. This has effect validating proposal made in Deseri Owen (J. Elast. 135:149–182, 2019) study admitting slips separations multiple submacroscopic levels. An explicit example is provided illustrate behavior proposed procedure directions for future highlighted.