×

zbMATH — the first resource for mathematics

Torsional waves in nanowires with surface elasticity effect. (English) Zbl 1341.74133
Summary: We examine the torsional wave propagation along a micro-/nanowire with consideration of the surface elasticity effect. The surface of the wire is modeled by a two-dimensional “membrane” which is described by the surface/interface mechanics of M. E. Gurtin and A. I. Murdoch [Int. J. Solids Struct. 14, 431–440 (1978; Zbl 0377.73001)]. The wave dispersion diagram is numerically presented with the surface/size effect which is characterized by two surface/size factors. They are “dynamic size/surface factor” and “static size/surface factor”.

MSC:
74M25 Micromechanics of solids
74J10 Bulk waves in solid mechanics
74J15 Surface waves in solid mechanics
74A50 Structured surfaces and interfaces, coexistent phases
PDF BibTeX XML Cite
Full Text: DOI
References:
[1] Haines, DW; Lee, PCY, Axial symmetric torsional waves in circular composite cylinder, J. Appl. Mech., 38, 1041-1044, (1971)
[2] Berger, JR; Martin, PA; McCaffery, SJ, Time-harmonic torsional waves in a composite cylinder with an imperfect interface, J. Acoust. Soc. Amer., 107, 1161-1167, (2000)
[3] Kim, JO, Torsional wave propagation in a circular cylinder with periodically corrugated outer surface, J. Appl. Mech., 121, 501-505, (1999)
[4] Carcione, JM; Seriani, G, Torsional waves in lossy cylinders, J. Acoust. Soc. Amer., 103, 760-766, (1998)
[5] Shearer, T; Abrahams, JD; Parnell, WJ, Torsional wave propagation in a prestressed hyperelastic annular circular cylinder, Q. J. Mech. Appl. Math., 66, 465-487, (2013) · Zbl 1291.74105
[6] Gurtin, ME; Murdoch, AI, Surface stress in solids, Int. J. Solids and Struct., 14, 431-440, (1978) · Zbl 0377.73001
[7] Gurtin, ME; Weissmuïller, J; Larcheí, F, A general theory of curved deformable interfaces in solids at equilibrium, Philos. Mag. A, 78, 1093-1109, (1998)
[8] Chen, T; Chiu, M-S; Weng, C-N, Derivation of the generalized Young-Laplace equation of curved interface in nanoscale solids, J. Appl. Phys., 100, 074308, (2006)
[9] Chen, WQ; Wu, B; Zhang, CL; Zhang, Ch, On wave propagation in anisotropic elastic cylinders at nanoscale: surface elasticity and its effect, Acta Mech., 225, 2743-2760, (2014) · Zbl 1302.74081
[10] Fan, H; Xu, LM, Decay rate in nano wires with consideration of surface elasticity, Mech. Res. Commun., 73, 113-116, (2016)
[11] Wang, X; Fan, H, Piezoelectric screw dislocation in a biomaterial with surface piezoelectricity, Acta Mech., 226, 3317-3331, (2015) · Zbl 1329.74089
[12] Xu, LM; Wang, X; Fan, H, Anti-plane waves near an interface between two piezoelectric half-spaces, Mech. Res. Commun., 67, 8-12, (2015)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.