Lammering, R.

Rauter, N.

Widera, I.

Scipedia

8th ECCOMAS Thematic Conference on the Mechanical Response of Composites: COMPOSITES 2021M. Fagerström & G. Catalanotti (Editors)NUMERICAL - EXPERIMENTAL APPROACH FOR THECORRELATION STRUCTURE DETERMINATION OF SHORTFIBER-REINFORCED COMPOSITESNatalie Rauter1, Ilona Widera1 and Rolf Lammering1∗1 Helmut-Schmidt-University / University of the Federal Armed Forces Hamburg, Holstenhofweg 85,22043 Hamburg, Germany∗ rolf.lammering@hsu-hh.deFiber-reinforced composites produced by automated injected mold processes show probabilisticcharacteristics of the microstructure, which also influences the overall mechanical behavior onthe component level. For the representation of the probabilistic distribution of the resultingmaterial properties stochastic methods like random fields can be used [1]. Due to the fiber-reinforcement the distribution of the material properties is not only a function of the spatialcoordinates but also a correlation exists, which is crucial for a sufficient representation of thematerial properties by random fields.In this work an approach is presented to derive the correlation structure of the elasticity ten-sor components for linear-elastic material behavior by combining numerical simulations withexperimental investigations. First the correlation structure of the whole elasticity tensor is de-termined by numerical simulations with respect to Hill’s condition on the mesoscale [2]. Dueto the simulation on the mesoscale the derived correlation lengths are of the same magnitude asthe numerical model and are therefore, not suitable for the use on the component level [3]. Toovercome this issue the spatial distribution of the Young’s modulus is experimentally obtainedby tensile tests in a second step. Based on the numerical and experimental results a transferfunction is established, that allows one to project the correlation structure derived by numericalsimulations on the mesoscale to the component level.For validation of the presented approach the numerical simulations of a tensile test on the com-ponent level is conducted by representing the spatial fluctuation of the material properties withGaussian random fields, that are discretized by using the resulting correlation structure and theKarhunen-Loève expansion.References[1] E. Vanmarcke (2010) Random fields - Analysis and sybthesis. World Scientific Publ, Sin-gapore.[2] R. Hill (1963) Elastic properties of reinforced solids: Some theoretical principles. Journalof the Mechanics and Physics of Solids, 11, 357-372.[3] N. Rauter (2021) A computational modeling approach based on random fields for shortfiber-reinforced composites with experimental verification by nanoindentation and tensiletests, Computational Mechanics, doi: 10.1007/s00466-020-01958-3.

Numerical - Experimental Approach for the Correlation Structure Determination of Short Fiber Reinforced Structures

https://www.scipedia.com/wd/images/8/8a/Draft_Content_620107658a18.pdf

Numerical - Experimental Approach for the Correlation Structure Determination of Short Fiber Reinforced Structures

Abstract

Similar works

Full text

Available Versions

Scipedia