# An enriched shell element formulation for efficient modeling of multiple delamination propagation in laminates

**Composite structures**(0263-8223). Vol. 126 (2015), August 2015, p. 196–206.

[Artikel, refereegranskad vetenskaplig]

In the modeling of progressive damage in fiber reinforced polymers, the kinematical representation of delamination is normally treated in one of two ways. Either efficient or accurate modeling of delamination is considered. In the first case, delamination is disregarded or implicitly included in the material modeling. In the second case, delamination is explicitly modeled at a significant numerical cost where all plies are represented by separate elements in the thickness direction, connected by interlaminar cohesive zone elements. In this paper, we therefore aim to take one step closer to more efficient FE analyses by presenting a modeling concept which supports laminate failure analyses requiring only one shell element through the thickness. With this concept, arbitrary delamination propagation is accounted for only in areas where it is needed. In addition, by using this concept, the model preparation time is reduced. We show that the current shell formulation proposed can be utilized to accurately simulate propagating delamination cracks as well as to accurately describe the kinematics of a laminate containing multiple delaminations through the thickness. Thus, we see significant potential for this modeling concept in analyses in which computationally efficiency is of major importance, such as for large scale crash analyses.

**Nyckelord: **Multiple delamination, XFEM, Computational efficiency, Shells

*Correcion published: Composite Structures, vol 132, p. 1303-1303, DOI:10.1016/j.compstruct.2015.07.006*

Denna post skapades 2015-03-21. Senast ändrad 2015-10-27.

CPL Pubid: 214132