TY - CHAP
T1 - Effective Viscoelastic Properties of Chiral Structures with Hierarchy
AU - Wang, Yun Che
AU - Ko, Tsai Wen
AU - Tan, Kai Wen
N1 - Funding Information:
Acknowledgements This research was, in part, supported by Taiwan Ministry of Science and Technology, under the contract number MOST 109-2221-E-006-016-MY3, and by the Southern Fig. 23.7 von Mises stress of the a, d, g Rank-1 b, e, h Rank-2 and c, f, i Rank-3 hierarchical chiral models under uniaxial straining along the horizontal direction. The ligament thickness for (a–c) is t = 1 mm, for (d–f) t = 1.5mm and for (g–i) t = 2 mm. The samples were under uniaxial straining (εxx = 10−4) along the horizontal direction Taiwan Science Park Bureau, Ministry of Science and Technology, Taiwan, R.O.C. under contract 109CP02.
Publisher Copyright:
© 2022, The Author(s), under exclusive license to Springer Nature Switzerland AG.
PY - 2022
Y1 - 2022
N2 - A class of hierarchically chiral metamaterials was analyzed with the finite element method for their effective linear viscoelastic properties under low frequency, uniaxial straining. The viscoelastic property of the solid phase was assumed to be of the standard linear solid. It is found that from Rank-1 to Rank-2 hierarchy effective Young’s modulus is enhanced. From Rank-2 to Rank-3, effective modulus may be roughly the same, slightly increased or decreased, depending on the ligament thickness. When the ligament thickness is less than 1.5 mm, increasing hierarchy decreases the overall damping. For larger thickness, overall damping may be slightly enhanced by hierarchy. Gradient lateral deformation is observed in the metamaterials under uniaxial straining, indicating the existence of chiral effects.
AB - A class of hierarchically chiral metamaterials was analyzed with the finite element method for their effective linear viscoelastic properties under low frequency, uniaxial straining. The viscoelastic property of the solid phase was assumed to be of the standard linear solid. It is found that from Rank-1 to Rank-2 hierarchy effective Young’s modulus is enhanced. From Rank-2 to Rank-3, effective modulus may be roughly the same, slightly increased or decreased, depending on the ligament thickness. When the ligament thickness is less than 1.5 mm, increasing hierarchy decreases the overall damping. For larger thickness, overall damping may be slightly enhanced by hierarchy. Gradient lateral deformation is observed in the metamaterials under uniaxial straining, indicating the existence of chiral effects.
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U2 - 10.1007/978-3-030-81705-3_23
DO - 10.1007/978-3-030-81705-3_23
M3 - Chapter
AN - SCOPUS:85119372700
T3 - Advanced Structured Materials
SP - 429
EP - 440
BT - Advanced Structured Materials
PB - Springer Science and Business Media Deutschland GmbH
ER -