Wave propagation investigation in microtubule-based metamaterials using consistent couple stress theory
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نویسندگان
دانشگاه تهران
چکیده
Current manuscript investigates the size-dependent wave propagation and wave attenuation performance of microtubule-based nano-bio-metamaterials with hexagonal and square to-pologies. The consistent couple stress theory (CCST) is utilized to take into effect the size-dependency in the governing equations of motion and the structures are modelled using fi-nite element method. Also, the wave propagation analysis is performed using the Bloch’s theorem. It is shown that, using the consistent couple stress theory, the higher persistence length of longer MT chains can be comprehended. Also, the application of higher order con-tinuum theories is shown to shift the dispersion curves to higher frequency ranges; so that the stop-bands predicted by the CCST are formed at higher frequencies. The results of the present manuscript can provide a better insight on the wave propagation and attenuation performance of microtubule-based architected materials, which will give engineers an edge in designing such structures for wave attenuation inside living cells.
کلیدواژه ها
 
Title
Wave propagation investigation in microtubule-based metamaterials using consistent couple stress theory
Authors
Soroush Sepehri, Mahmoud Mousavi Mashhadi, Mir Masoud Seyyed Fakhrabadi
Abstract
Current manuscript investigates the size-dependent wave propagation and wave attenuation performance of microtubule-based nano-bio-metamaterials with hexagonal and square to-pologies. The consistent couple stress theory (CCST) is utilized to take into effect the size-dependency in the governing equations of motion and the structures are modelled using fi-nite element method. Also, the wave propagation analysis is performed using the Bloch’s theorem. It is shown that, using the consistent couple stress theory, the higher persistence length of longer MT chains can be comprehended. Also, the application of higher order con-tinuum theories is shown to shift the dispersion curves to higher frequency ranges; so that the stop-bands predicted by the CCST are formed at higher frequencies. The results of the present manuscript can provide a better insight on the wave propagation and attenuation performance of microtubule-based architected materials, which will give engineers an edge in designing such structures for wave attenuation inside living cells.
Keywords
metamaterials, microtubule, consistent couple stress theory, wave propagation