2021
DOI: 10.1016/j.cma.2021.114161
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Computational homogenization of locally resonant acoustic metamaterial panels towards enriched continuum beam/shell structures

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Cited by 25 publications
(9 citation statements)
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“…Using the definition of the differential operator L in (31), the first integral on the left-hand side reads…”
Section: Weak Formmentioning
confidence: 99%
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“…Using the definition of the differential operator L in (31), the first integral on the left-hand side reads…”
Section: Weak Formmentioning
confidence: 99%
“…Although the resulting formulations are similar, the higher‐order inertia terms can be introduced to the equations of motion either directly through the positive‐definite kinetic energy density of Mindlin's theory, or by deriving the equations of motion based on a lattice model consisting of discrete particles with bond interactions, and stabilizing those equations by replacing the higher‐order derivatives of strain with the Laplacian of acceleration 9 . Enriching the governing partial differential equations of elastic media by the higher‐order derivatives of acceleration, or a combination of acceleration gradient and other higher‐order terms has been the topic of various studies up until now 28‐31 . Here, the equations of motion with the higher‐order inertia terms are employed for describing the size‐dependent mechanical behavior of heterogeneous solids with periodic microstructure.…”
Section: Introductionmentioning
confidence: 99%
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“…The possibility of creating targeted stop bands in LR periodic structures has inspired multiple research efforts for vibration and wave propagation control of 2D structures. 14,15 Among recent studies, it is worth mentioning the application of finite element (FEM) analysis, 16,17 ad hoc analytical methods, 18,19,20 simplified models for periodic systems, 21,22 exploitation of nonlinearities for enhanced or unusual performance, 23,24,25,26,27 and experimental campaigns. 28,29,30…”
Section: Introductionmentioning
confidence: 99%
“…This problem can be solved by developing efficient improved numerical methods (e.g., [ 19 , 20 , 21 , 22 , 23 , 24 , 25 ]) or employing models, where the fractured zone with a distribution of cracks is substituted by an equivalent homogeneous or inhomogeneous effective media (e.g., [ 26 , 27 ]). Though some wave phenomena are not taken into account in the models incorporating homogenisation, these models are efficient and suitable for many applications [ 28 , 29 , 30 ]. If inhomogeneities or uncertainties are concentrated at the interfaces in the form of a distribution of interfacial micro-cracks or an interface roughness, the irregularities are situated randomly in the vicinity of interfaces.…”
Section: Introductionmentioning
confidence: 99%