Engineering Transactions, 65, 1, pp. 19–24, 2017

Multiscale Identification of Parameters of Inhomogeneous Materials by Means of Global Optimization Methods

Institute of Mechanics and Computational Engineering, Silesian University of Technology

Institute of Mechanics and Computational Engineering, Silesian University of Technology

This paper deals with the identification of material parameters at a microscale on the basis of measurements at a macroscale. Inhomogeneous materials such as composites and porous media are considered. Numerical homogenization with the use of a representative volume element is performed to obtain a macroscopically homogenized equivalent material. The evolutionary algorithm is applied as the global optimization method to solve the identification task. Modal analysis is performed to collect data necessary for the identification. Different ranges of measurement errors are considered. A finite element method is employed to solve a boundary-value problem for both scales.
Keywords: identification; numerical homogenization; evolutionary algorithm; porous material; composite; measurement error
Full Text: PDF
Copyright © Polish Academy of Sciences & Institute of Fundamental Technological Research (IPPT PAN).


Zohdi T.I., Wriggers P., An introduction to computational micromechanics, Springer, Berlin – Heidelberg, 2005.

Kouznetsova V., Computational homogenization for the multi-scale analysis of multi-phase materials, PhD thesis, Technische Universiteit Eindhoven, 2002.

Michalewicz Z., Fogel D., How to solve it: modern heuristics, Springer Science & Business Media, Berlin – Heidelberg, 2004.

He J., Fu Z-F., Modal analysis, Butterworth-Heinemann, Oxford (UK) – Woburn (United States), 2001.

Beluch W., Burczyński T., Two-scale identification of composites' material constants by means of computational intelligence methods, Archives of Civil and Mechanical Engineering, 14(4): 636–646, 2014.

Deb K., Multi-objective optimization using evolutionary algorithms, Wiley, New York, 2001.

Beluch W., Długosz A., Multiobjective and multiscale optimization of composite materials by means of evolutionary computations, Journal of Theoretical and Applied Mechanics, 54(2): 397–409, 2016, doi: 10.15632/jtam-pl.54.2.397.

Ptaszny J., Fedeliński P., Numerical homogenization by using the fast multipole boundary element method, Archives of Civil and Mechanical Engineering, 11(1): 181–193, 2011, doi: 10.1016/S1644-9665(12)60182-4.

Hill R., Elastic properties of reinforced solids: Some theoretical principles, Journal of the Mechanics and Physics of Solids, 11(5): 357–372, 1963, doi: 10.1016/0022-5096(63)90036-X.

Zohdi T.I., Wriggers P., An introduction to computational micromechanics, Lecture Notes in Applied and Computational Mechanics, Springer, Berlin – Heidelberg, 2005.

Miehe C., Strain-driven homogenization of inelastic microstructures and composites based on an incremental variational formulation, International Journal for Numerical Methods in Engineering, 55(11): 1285–1322, 2002, doi: 10.1002/nme.515.

Mokhles Gerami F., Kakuee O., Mohammadi S., Porosity estimation of alumina samples based on resonant backscattering spectrometry, Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms, 373: 80–84, 2016, doi: 10.1016/j.nimb.2016.03.016.

DOI: 10.24423/engtrans.731.2017