The paper “Efficient cut-cell quadrature based on moment fitting for materially nonlinear analysis”, co-authored by H.-G. Bui, D. Schillinger and G. Meschke, has just been published online in the International Journal „Computer Methods in Applied Mechanics and Engineering“.
It is a recent publication of the Research Group on Computational Modeling in Tunneling and Underground Structures.

In this paper, we describe a novel modification of moment fitting approach that opens the door for its application in materially nonlinear analysis. The basic idea is the decomposition of each cut cell into material subdomains, each of which can be assigned a physically valid location where constitutive integration and the update of local history variables can be performed. We formulate a moment fitting scheme for each material subdomain using the same quadrature points, such that the resulting weights from all material subdomains can be added and the total number of point evaluations remains the same as in standard Gauss quadrature. We discuss numerical details of the modified scheme, including its ramifications for consistent linearization, and demonstrate its optimal performance in the context of the finite cell method and elastoplasticity.

The paper can be downloaded here:
DOI