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Homogenisation of porous thin films and perforated layers: Comparison of analytical and numerical approaches

Richter, Henning (2015) Homogenisation of porous thin films and perforated layers: Comparison of analytical and numerical approaches. Mechanics of materials (89), pp. 119-129. Elsevier. DOI: 10.1016/j.mechmat.2015.06.010 ISSN 0167-6636

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Official URL: http://www.sciencedirect.com/science/article/pii/S0167663615001404

Abstract

The mechanical properties of porous thin films and perforated layers are affected by pore content, shape and arrangement. The experimental determination of the in-plane mechanical properties of such materials is challenging, yet reliable data are essential for materials development and component design. Analytical and numerical approaches therefore provide valuable, supplementary tools for evaluating the effect of porosity on the mechanical properties of such materials. The applicability of both the classical self-consistent method and the Mori–Tanaka approach to the estimation of the effective elastic properties of porous thin films and perforated layers is investigated in this paper. For generic model microstructures with various arrangements of pores, variable pore content and varying matrix Poisson’s ratio, the effective elastic properties predicted by the classical self-consistent method and by the Mori–Tanaka approach are quantitatively compared with results obtained by numerical experiments. Based upon this comparison, the range of validity of both the classical self-consistent method and the Mori–Tanaka approach with regard to the different arrangements of pores investigated is defined, and the deviation to be expected if critical values of pore content or inter-pore distance are exceeded and interactions between adjacent pores are occurring is assessed.

Item URL in elib:https://elib.dlr.de/100154/
Document Type:Article
Title:Homogenisation of porous thin films and perforated layers: Comparison of analytical and numerical approaches
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Richter, Henninghenning.richter (at) dlr.deUNSPECIFIED
Date:October 2015
Journal or Publication Title:Mechanics of materials
Refereed publication:Yes
Open Access:No
In DOAJ:No
In SCOPUS:Yes
In ISI Web of Science:Yes
DOI :10.1016/j.mechmat.2015.06.010
Page Range:pp. 119-129
Editors:
EditorsEmail
Nemat-Nasser, SiaUCSD
Publisher:Elsevier
ISSN:0167-6636
Status:Published
Keywords:Finite element method; Self-consistent method; Mori–Tanaka approach; Micromechanics; Porous thin films; Constitutive behaviour
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Aeronautics
HGF - Program Themes:propulsion systems
DLR - Research area:Aeronautics
DLR - Program:L ER - Engine Research
DLR - Research theme (Project):L - Virtual Engine and Validation methods
Location: Köln-Porz
Institutes and Institutions:Institute of Materials Research > Experimental and Numerical Methods
Deposited By: Richter, Henning
Deposited On:30 Nov 2015 15:52
Last Modified:08 Mar 2018 18:38

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