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An inverse method for characterisation of the static elastic Hooke's tensors of solid frame of anisotropic open-cell materials
KTH, School of Engineering Sciences (SCI), Aeronautical and Vehicle Engineering. KTH, School of Engineering Sciences (SCI), Engineering Mechanics, Fluid Mechanics and Engineering Acoustics, Marcus Wallenberg Laboratory MWL. KTH, School of Engineering Sciences (SCI), Centres, VinnExcellence Center for ECO2 Vehicle design.
KTH, School of Engineering Sciences (SCI), Centres, VinnExcellence Center for ECO2 Vehicle design. KTH, School of Engineering Sciences (SCI), Aeronautical and Vehicle Engineering. KTH, School of Engineering Sciences (SCI), Engineering Mechanics, Fluid Mechanics and Engineering Acoustics, Marcus Wallenberg Laboratory MWL.ORCID iD: 0000-0002-6555-531X
KTH, School of Engineering Sciences (SCI), Centres, VinnExcellence Center for ECO2 Vehicle design. KTH, School of Engineering Sciences (SCI), Engineering Mechanics, Fluid Mechanics and Engineering Acoustics, Marcus Wallenberg Laboratory MWL. KTH, School of Engineering Sciences (SCI), Aeronautical and Vehicle Engineering.ORCID iD: 0000-0003-1855-5437
2020 (English)In: International Journal of Engineering Science, ISSN 0020-7225, E-ISSN 1879-2197, Vol. 147, article id 103198Article in journal (Refereed) Published
Abstract [en]

This paper proposes an inverse estimation method for the extraction of the equivalent, static elastic, Hooke's tensor. The inversion is based on a fitting of the displacements, obtained from a combination of static compression and shear traction loads, on the faces of a sample specimen. An equivalent, homogenised material model is found by varying the elastic moduli until a defined cost function, based on the error measured as the difference between the displacement fields, has reached a minimum, at which an anisotropic constitutive solid model has been identified. The method is built on a multi-level step-wise approach, both from a computational as well as an assumed constitutive model symmetry point of view. The principle of the method is validated for a target anisotropic solid material model. The proposed multi-level approach is developed and refined for a known open-cell structure based on the Kelvin cell geometry. The accuracy of the method is verified and various strategies for increasing the rate of convergence in the inversion are discussed.

Place, publisher, year, edition, pages
Elsevier Ltd , 2020. Vol. 147, article id 103198
Keywords [en]
Anisotropy, Computational homogenisation, Hooke's tensor, Inverse estimation, Kelvin cell, Open-cell material, Porous materials, Cells, Cost functions, Cytology, Tensors, Anisotropic solids, Displacement field, Kelvin cells, Open-cell, Rate of convergence, Static compression, Inverse problems
National Category
Fluid Mechanics and Acoustics
Identifiers
URN: urn:nbn:se:kth:diva-267961DOI: 10.1016/j.ijengsci.2019.103198ISI: 000518679200007Scopus ID: 2-s2.0-85076767855OAI: oai:DiVA.org:kth-267961DiVA, id: diva2:1420990
Note

QC 20200401

Available from: 2020-04-01 Created: 2020-04-01 Last updated: 2020-04-01Bibliographically approved

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Mao, HuinaRumpler, RomainGöransson, Peter

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Aeronautical and Vehicle EngineeringMarcus Wallenberg Laboratory MWLVinnExcellence Center for ECO2 Vehicle design
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