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Probing the frequency-dependent elastic moduli of lattice materials

T. Mukhopadhyay, S. Adhikari, A. Alu, Sondipon Adhikari

Acta Materialia, Volume: 165, Pages: 654 - 665

Swansea University Author: Sondipon Adhikari

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DOI (Published version): 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 ele...

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Published in: Acta Materialia
ISSN: 13596454
Published: 2019
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URI: https://cronfa.swan.ac.uk/Record/cronfa46241
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first_indexed 2018-12-06T14:27:36Z
last_indexed 2019-01-28T14:02:12Z
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spelling 2019-01-28T11:46:11.3997786 v2 46241 2018-12-06 Probing the frequency-dependent elastic moduli of lattice materials 4ea84d67c4e414f5ccbd7593a40f04d3 Sondipon Adhikari Sondipon Adhikari true false 2018-12-06 FGSEN 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. Journal Article Acta Materialia 165 654 665 13596454 lattice material, frequency-dependent elastic moduli, complex elastic moduli, vibrating microstructure 31 12 2019 2019-12-31 10.1016/j.actamat.2018.11.012 COLLEGE NANME Science and Engineering - Faculty COLLEGE CODE FGSEN Swansea University 2019-01-28T11:46:11.3997786 2018-12-06T10:40:20.6882383 Faculty of Science and Engineering School of Engineering and Applied Sciences - Uncategorised T. Mukhopadhyay 1 S. Adhikari 2 A. Alu 3 Sondipon Adhikari 4 0046241-06122018104331.pdf mukhopadhyay2018(2).pdf 2018-12-06T10:43:31.4670000 Output 27640665 application/pdf Accepted Manuscript true 2019-12-03T00:00:00.0000000 true eng
title Probing the frequency-dependent elastic moduli of lattice materials
spellingShingle Probing the frequency-dependent elastic moduli of lattice materials
Sondipon Adhikari
title_short Probing the frequency-dependent elastic moduli of lattice materials
title_full Probing the frequency-dependent elastic moduli of lattice materials
title_fullStr Probing the frequency-dependent elastic moduli of lattice materials
title_full_unstemmed Probing the frequency-dependent elastic moduli of lattice materials
title_sort Probing the frequency-dependent elastic moduli of lattice materials
author_id_str_mv 4ea84d67c4e414f5ccbd7593a40f04d3
author_id_fullname_str_mv 4ea84d67c4e414f5ccbd7593a40f04d3_***_Sondipon Adhikari
author Sondipon Adhikari
author2 T. Mukhopadhyay
S. Adhikari
A. Alu
Sondipon Adhikari
format Journal article
container_title Acta Materialia
container_volume 165
container_start_page 654
publishDate 2019
institution Swansea University
issn 13596454
doi_str_mv 10.1016/j.actamat.2018.11.012
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Engineering and Applied Sciences - Uncategorised{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Engineering and Applied Sciences - Uncategorised
document_store_str 1
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description 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.
published_date 2019-12-31T03:57:59Z
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score 11.012678

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