Copula-based modeling and simulation of 3D systems of curved fibers by isolating intrinsic fiber properties and external effects.

ABSTRACT: In this paper we lay the foundation for data-driven 3D analysis of virtual fiber systems with respect to their microstructure and functionality. In particular, we develop a stochastic 3D model for systems of curved fibers similar to nonwovens, which is fitted to tomographic image data. By systematic variations of model parameters, efficient computer-based scenario analyses can be performed to get a deeper insight how effective properties of this type of functional materials depend on their 3D microstructure. In a first step, we consider single fibers as polygonal tracks which can be modeled by a third-order Markov chain. For constructing the transition function of the Markov chain, we formalize the intuitive notions of intrinsic fiber properties and external effects and build a copula-base

SUBMITTER: Weber M 

PROVIDER: S-EPMC10632406 | biostudies-literature | 2023 Nov

REPOSITORIES: biostudies-literature