2017/07/11 by Charilaos Mylonas, Mylonas, Charilaos, Valentin Bemetz +3
Engineering · #Composite Material Mechanics #Computational Engineering #FOS: Computer and information sciences #Finance #Mechanical Behavior of Composites #Topology Optimization in Engineering #and Science (cs.CE)
paper · pdf · doi:10.48550/arxiv.1707.04304
openalex publication_date 2017/07/11 · openalex created_date 2022/09/04 · openalex updated_date 2026/07/28
Computational modeling of the structural behavior of continuous fiber\ncomposite materials often takes into account the periodicity of the underlying\nmicro-structure. A well established method dealing with the structural behavior\nof periodic micro-structures is the so- called Asymptotic Expansion\nHomogenization (AEH). By considering a periodic perturbation of the material\ndisplacement, scale bridging functions, also referred to as elastic correctors,\ncan be derived in order to connect the strains at the level of the\nmacro-structure with micro- structural strains. For complicated inhomogeneous\nmicro-structures, the derivation of such functions is usually performed by the\nnumerical solution of a PDE problem - typically with the Finite Element Method.\nMoreover, when dealing with uncertain micro-structural geometry and material\nparameters, there is considerable uncertainty introduced in the actual stresses\nexperienced by the materials. Due to the high computational cost of computing\nthe elastic correctors, the choice of a pure Monte-Carlo approach for dealing\nwith the inevitable material and geometric uncertainties is clearly\ncomputationally intractable. This problem is even more pronounced when the\neffect of damage in the micro-scale is considered, where re-evaluation of the\nmicro-structural representative volume element is necessary for every occurring\ndamage. The novelty in this paper is that a non-intrusive surrogate modeling\napproach is employed with the purpose of directly bridging the macro-scale\nbehavior of the structure with the material behavior in the micro-scale,\ntherefore reducing the number of costly evaluations of corrector functions,\nallowing for future developments on the incorporation of fatigue or static\ndamage in the analysis of composite structural components.\n