Ductility prediction of substrate-supported metal layers based on rate-independent crystal plasticity theory

Abstract

Abstract. In this paper, both the bifurcation theory and the initial imperfection approach are used to predict localized necking in substrate-supported metal layers. The self-consistent scale-transition scheme is used to derive the mechanical behavior of a representative volume element of the metal layer from the behavior of its microscopic constituents (the single crystals). The mechanical behavior of the elastomer substrate follows the neo-Hookean hyperelastic model. The adherence between the two layers is assumed to be perfect. Through numerical results, it is shown that the limit strains predicted by the initial imperfection approach tend towards the bifurcation predictions when the size of the geometric imperfection in the metal layer vanishes. Also, it is shown that the addition of an elastomer layer to a metal layer enhances ductility.

Localized forming limit analysis of substrate-supported metals: Influence of yield-dependent necking bound angle

“…Subsequently, the more effective substratesupported structure is presented at YD-NBA and it is validated with the flow theory in Bettaieb and Abed-Meraim. 47 in LHS and in the equi-biaxial with the deformation theory of bifurcation analysis by Ben Bettaieb and Abed-Meraim. 53 v = 0:066: Therefore, as shown in Figure 6, by YD-NBA, the effect of reinforcements on the vertex localization will be more than the Hill-NBA.…”

“…Subsequently, the more effective substrate-supported structure is presented at YD-NBA and it is validated with the flow theory in Bettaieb and Abed-Meraim. 47 in LHS and in the equi-biaxial with the deformation theory of bifurcation analysis by Ben Bettaieb and Abed-Meraim. 53…”

“…Two representative bilayer structures were investigated, namely, a metal layer supported by a plastic substrate and a metal layer supported by an elastomer substrate. In Bettaieb and Abed-Meraim, 47 a ductility bifurcation theory with an initial imperfection approach was conducted to consider the localized necking in the substrate-supported metal layers based on a rate-independent crystal plasticity framework. In that work, the mechanical behavior of the elastomer substrate follows the neo-Hookean model.…”