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Main Title: Effective strain gradient continuum model of metamaterials and size effects analysis
Author(s): Yang, Hua
Timofeev, Dmitry
Giorgio, Ivan
Müller, Wolfgang H.
Type: Article
Abstract: In this paper, a strain gradient continuum model for a metamaterial with a periodic lattice substructure is considered. A second gradient constitutive law is postulated at the macroscopic level. The effective classical and strain gradient stiffness tensors are obtained based on asymptotic homogenization techniques using the equivalence of energy at the macro- and microscales within a so-called representative volume element. Numerical studies by means of finite element analysis were performed to investigate the effects of changing volume ratio and characteristic length for a single unit cell of the metamaterial as well as changing properties of the underlying material. It is also shown that the size effects occurring in a cantilever beam made of a periodic metamaterial can be captured with appropriate accuracy by using the identified effective stiffness tensors.
Subject(s): asymptotic homogenization method
effective continuum
finite element method
strain gradient elasticity
Issue Date: 28-Aug-2020
Date Available: 12-Mar-2021
Is Part Of: 10.14279/depositonce-12553
Language Code: en
DDC Class: 530 Physik
Sponsor/Funder: TU Berlin, Open-Access-Mittel – 2020
Journal Title: Continuum Mechanics and Thermodynamics
Publisher: SpringerNature
Publisher DOI: 10.1007/s00161-020-00910-3
EISSN: 1432-0959
ISSN: 0935-1175
TU Affiliation(s): Fak. 5 Verkehrs- und Maschinensysteme » Inst. Mechanik » FG Kontinuumsmechanik und Materialtheorie
Appears in Collections:Technische Universität Berlin » Publications

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