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Dynamic stress concentration around two interacting coated nanowires with surface/interface effect

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Abstract

In coated nanowires, the surface/interface effects are particularly prominent due to a larger ratio of surface area to volume. In this paper, the effect of surface/interface stress on the macroscopic dynamic stress concentration around two nanowires under anti-plane shear waves is studied. The analytical solutions of displacements around the coated nanowires, in the coating layers, and inside the nanowires are expressed by wave function expansion method. The expanded mode coefficients are determined by satisfying the boundary conditions at the two interfaces around the nanowires. To accomplish the superposition of displacement fields, the addition theorem for cylindrical wave function is employed. Analyses show that the effect of interface properties on the dynamic stress is significantly related to the wave frequency, the material properties of nanowires and coating layers, and the relative position and distance between the two nanowires. If the wires and coating layers are softer, the dynamic stress decreases greatly, and the interface effect on the dynamic stress is also little. The results may be potentially useful for providing information on the mechanical properties and interactions among array of nanowires under different external mechanical stimulus.

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References

  1. Alizada AN, Sofiyev AH (2011) Modified Young’s moduli of nano-materials taking into account the scale effects and vacancies. Meccanica 46:915–920

    Article  MathSciNet  Google Scholar 

  2. Duan HL, Wang J, Huang ZP, Luo ZY (2005) Stress concentration tensors of inhomogeneities with interface effects. Mech Mater 37:723–736

    Article  Google Scholar 

  3. Devaprakasam D, Hatton PV, Möbus G, Inkson BJ (2009) Nanoscale tribology, energy dissipation and failure mechanisms of nano- and micro-silica particle-filled polymer composites. Tribol Lett 34:11–19

    Article  Google Scholar 

  4. Gurtin ME, Murdoch AI (1975) A continuum theory of elastic material surfaces. Arch Ration Mech Anal 57:291–323

    Article  MathSciNet  MATH  Google Scholar 

  5. Cui Y, Zhong Z, Wang D, Wang WU, Lieber CM (2003) High performance silicon nanowire field effect transistors. Nano Lett 3(2):149–152

    Article  ADS  Google Scholar 

  6. Calabri L, Pugno N, Ding W, Ruoff RS (2006) Resonance of curved nanowires. J Phys Condens Matter 18(33):S2175–S2183

    Article  ADS  Google Scholar 

  7. Pugno N (2006) New quantized failure criteria: application to nanotubes and nanowires. Int J Fract 141:311–323

    Article  Google Scholar 

  8. Brands M, Carl A, Posth O, Dumpich G (2005) Electron-electron interaction in carbon-coated ferromagnetic nanowires. Phys Rev B 72:085457

    Article  ADS  Google Scholar 

  9. Zhu Y, Xu F, Qin Q, Fung WY, Lu W (2009) Mechanical properties of vapor-liquid-solid synthesized silicon nanowires. Nano Lett 9(11):3934–3939

    Article  Google Scholar 

  10. Fang QH, Liu YW, Jin B, Wen PH (2009) Interaction between a dislocation and a core-shell nanowire with interface effects. Int J Solids Struct 46:1539–1546

    Article  MATH  Google Scholar 

  11. Tang CY, Zhang LC, Mylvaganam K (2010) Mechanical properties of a silicon nano-wire under uni-axial tension and compression. J Comput Theor Nanosci 7:2135–2143

    Article  Google Scholar 

  12. Fang XQ, Liu JX, Yang SP, Zhang LL (2010) Effect of surface/interface on the dynamic stress of two interacting cylindrical nano-inhomogeneities under compressional waves. Thin Solid Films 518:6938–6944

    Article  ADS  Google Scholar 

  13. Fang XQ, Wang XH, Zhang LL (2010) Interface effect on the dynamic stress around an elliptical nano-inhomogeneity subjected to anti-plane shear waves. Comput Mater Continua 16:229–246

    Google Scholar 

  14. Wang GF, Feng XQ, Yu SW (2007) Interface effects on the diffraction of plane compressional waves by a nanosized spherical inclusion. J Appl Phys 102:043533

    Article  ADS  Google Scholar 

  15. Pao YH, Mow CC (1973) Diffraction of elastic waves and dynamic stress concentration. Crane-Russak, New York

    Google Scholar 

Download references

Acknowledgements

The paper is supported by the National Natural Science Foundation of China (Nos. 11172185; 10972147), the Natural Science Foundation of Hebei Province, China (No. A2010001052), the Fundamental Research Funds for the Central Universities (No. C12JB00170), and the Program for Changjiang Scholars and Innovative Research Team in University (No. IRT0971). The authors are grateful to the anonymous reviewers for their constructive comments and suggestions.

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Authors and Affiliations

  1. Department of Engineering Mechanics, Shijiazhuang Tiedao University, Shijiazhuang, 050043, China

    Xue-Qian Fang, Le-Le Zhang & Jin-Xi Liu

  2. Institute of Engineering Mechanics, Beijing Jiaotong University, Beijing, 100044, China

    Le-Le Zhang

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  1. Xue-Qian Fang
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  2. Le-Le Zhang
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Correspondence to Xue-Qian Fang.

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Fang, XQ., Zhang, LL. & Liu, JX. Dynamic stress concentration around two interacting coated nanowires with surface/interface effect. Meccanica 48, 287–296 (2013). https://doi.org/10.1007/s11012-012-9600-z

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  • DOI: https://doi.org/10.1007/s11012-012-9600-z

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