Probing the frequency-dependent elastic moduli of lattice materials
Probing the frequency-dependent elastic moduli of lattice materials
An insightful mechanics-based concept is developed for probing the frequency-dependence in in-plane elastic moduli of microstructured lattice materials. Closed-form expressions for the complex elastic moduli are derived as a function of frequency by employing the dynamic stiffness matrix of beam elements, which can exactly capture the sub-wavelength scale dynamics. It is observed that the two Poisson's ratios are not dependent on the frequency of vibration, while the amplitude of two Young's moduli and shear modulus increase significantly with the increase of frequency. The variation of frequency-dependent phase of the complex elastic moduli is studied in terms of damping factors of the intrinsic material. The tunable frequency-dependent behaviour of elastic moduli in lattice materials could be exploited in the pseudo-static design of advanced engineering structures which are often operated in a vibrating environment. The generic concepts presented in this paper introduce new exploitable dimensions in the research of engineered materials for potential applications in various vibrating devices and structures across different length-scales.
Complex elastic moduli, Frequency-dependent elastic moduli, Lattice material, Vibrating microstructure
654-665
Mukhopadhyay, T.
2ae18ab0-7477-40ac-ae22-76face7be475
Adhikari, S.
82960baf-916c-496e-aa85-fc7de09a1626
Alu, A.
d64fbab3-6043-46aa-afee-d24b34de543b
15 February 2019
Mukhopadhyay, T.
2ae18ab0-7477-40ac-ae22-76face7be475
Adhikari, S.
82960baf-916c-496e-aa85-fc7de09a1626
Alu, A.
d64fbab3-6043-46aa-afee-d24b34de543b
Mukhopadhyay, T., Adhikari, S. and Alu, A.
(2019)
Probing the frequency-dependent elastic moduli of lattice materials.
Acta Materialia, 165, .
(doi:10.1016/j.actamat.2018.11.012).
Abstract
An insightful mechanics-based concept is developed for probing the frequency-dependence in in-plane elastic moduli of microstructured lattice materials. Closed-form expressions for the complex elastic moduli are derived as a function of frequency by employing the dynamic stiffness matrix of beam elements, which can exactly capture the sub-wavelength scale dynamics. It is observed that the two Poisson's ratios are not dependent on the frequency of vibration, while the amplitude of two Young's moduli and shear modulus increase significantly with the increase of frequency. The variation of frequency-dependent phase of the complex elastic moduli is studied in terms of damping factors of the intrinsic material. The tunable frequency-dependent behaviour of elastic moduli in lattice materials could be exploited in the pseudo-static design of advanced engineering structures which are often operated in a vibrating environment. The generic concepts presented in this paper introduce new exploitable dimensions in the research of engineered materials for potential applications in various vibrating devices and structures across different length-scales.
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Published date: 15 February 2019
Additional Information:
Funding Information:
TM acknowledges the financial support from Swansea University through the award of Zienkiewicz Scholarship .
Publisher Copyright:
© 2018 Acta Materialia Inc.
Keywords:
Complex elastic moduli, Frequency-dependent elastic moduli, Lattice material, Vibrating microstructure
Identifiers
Local EPrints ID: 483564
URI: http://eprints.soton.ac.uk/id/eprint/483564
ISSN: 1359-6454
PURE UUID: 38a525b7-1a97-4c9e-98c1-12f5e4a162bf
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Date deposited: 01 Nov 2023 18:01
Last modified: 18 Mar 2024 04:10
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Contributors
Author:
T. Mukhopadhyay
Author:
S. Adhikari
Author:
A. Alu
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