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Acta Mechanica
Published in: Acta Mechanica 4/2020

01-01-2020 | Original Paper

Modified LSM for size-dependent wave propagation: comparison with modified couple stress theory

Authors: Ning Liu, Li-Yun Fu, Gang Tang, Yue Kong, Xiao-Yi Xu

Published in: Acta Mechanica | Issue 4/2020

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Abstract

A modified LSM is proposed by introducing an independent micro-rotational inertia, which may help characterize the scale-dependent effect and avoid the Poisson’s ratio limitation of regular triangle lattices in two dimensions. For this method, some factors may affect data pickup and modeling accuracy, but the ‘optimal’ inputs, like stiffness ratio, numerical damping, and micro-rotational inertia, could be obtained from parameter identification by the Dakota toolkit (Adams et al., Tech Rep SAND2010–2183, 2009), when a suitable excitation source function and lattice spacing are set up. By comparing with the modified couple stress theory, we analyze the dispersion relationship of elastic waves for the estimation of the characteristic material length. It shows that this modified LSM may provide an alternative and promising way to investigate the size-dependent wave propagation in elastic media numerically.
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Metadata
Title
Modified LSM for size-dependent wave propagation: comparison with modified couple stress theory
Authors
Ning Liu
Li-Yun Fu
Gang Tang
Yue Kong
Xiao-Yi Xu
Publication date
01-01-2020
Publisher
Springer Vienna
Published in
Acta Mechanica / Issue 4/2020
Print ISSN: 0001-5970
Electronic ISSN: 1619-6937
DOI
https://doi.org/10.1007/s00707-019-02580-y

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