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Effective medium theory for second-gradient elasticity with chirality
Karlstad University, Faculty of Health, Science and Technology (starting 2013), Department of Mathematics and Computer Science (from 2013).ORCID iD: 0000-0002-4403-6908
Karlstad University, Faculty of Health, Science and Technology (starting 2013), Department of Mathematics and Computer Science (from 2013). Karlstad University, Faculty of Arts and Social Sciences (starting 2013), Center for Societal Risk Research, CSR (from 2020).ORCID iD: 0000-0002-1160-0007
2024 (English)In: Asymptotic Analysis, ISSN 0921-7134, E-ISSN 1875-8576, Vol. 139, no 1-2, p. 111-137Article in journal (Refereed) Published
Abstract [en]

We derive effective models for a heterogeneous second-gradient elastic material taking into account chiral scale-size effects. Our classification of the effective equations depends on the hierarchy of four characteristic lengths: The size of the heterogeneities ℓ, the intrinsic lengths of the constituents ℓSG and ℓchiral, and the overall characteristic length of the domain L. Depending on the different scale interactions between ℓSG, ℓchiral, ℓ, and L we obtain either an effective Cauchy continuum or an effective second-gradient continuum. The working technique combines scaling arguments with the periodic homogenization asymptotic procedure. Both the passage to the homogenization limit and the unveiling of the correctors’ structure rely on a suitable use of the periodic unfolding operator.

Place, publisher, year, edition, pages
IOS Press, 2024. Vol. 139, no 1-2, p. 111-137
Keywords [en]
Second-gradient elasticity, scale-size effects, partial scale separation, chirality, multi-continuum homogenization
National Category
Mathematics
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:kau:diva-98586DOI: 10.3233/ASY-241902ISI: 001311138000005Scopus ID: 2-s2.0-85201163551OAI: oai:DiVA.org:kau-98586DiVA, id: diva2:1838693
Funder
Knowledge Foundation, 2020-0152Available from: 2024-02-18 Created: 2024-02-18 Last updated: 2024-10-07Bibliographically approved

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Nika, GrigorMuntean, Adrian

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