Elastic calibration of a discrete domain using a proper generalized decomposition

Abstract

Current discrete/lattice methods can simulate a continuous mechanical behavior thanks to a network of bonds. The main drawback of these approaches is the need of a calibration process to link the emerging behavior of the structure and the parameters of the local mechanical bond. It is proposed in this work to use a fast and recent reduction model technique to build once and for all an exhaustive data chart and thus to avoid the calibration process. The proper generalized decomposition technique was used to build a parametric analysis in the case of a lattice beam structure. The results were in the range of the current calibration values found in the literature and extend it by giving a global calibration curve. They also allowed to discuss about the influence, in this specific case of lattice-beam structure, of the density of beams in terms of number of discrete elements and connectivity.