Surface Effects on a Coated Fiber with an Imperfect Interface Subjected to Plane Compressional Wave

Dongxia Lei; Lizhen Wang; Zhiying Ou

doi:doi:10.11648/j.ijamtp.20190502.11

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Surface Effects on a Coated Fiber with an Imperfect Interface Subjected to Plane Compressional Wave

Dongxia Lei, Lizhen Wang, Zhiying Ou

Published in International Journal of Applied Mathematics and Theoretical Physics (Volume 5, Issue 2)

Received: 29 April 2019 Accepted: 21 May 2019 Published: 20 June 2019

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Abstract

With the rapid development of nanotechnology, nano-components and nano-materials will be widely concerned and applied. At the nano-scale, due to the obvious increase the ratio of surface area to the volume effect and surface effect of nano-components and nano-materials are significant, making their mechanical properties significantly different from the material properties under the macroscopic conditions. And in the practical cases, the interface is not always perfect and smooth, they always have a certain form of defects. Therefore, the wave function expansion method is used in the analytical solutions of dynamic stress concentration factor (DSCF) around a coated fiber with an imperfect interface at nano-scale. The stress boundary conditions on the interface are obtained by using the generalized Young-Laplace equation and the imperfect displacement boundary conditions on the interface are modeled by a spring model. Considering the effects of surface and spring model, the influence of spring stiffness, the number of incident wave and the surface effects on the DSCF are analyzed. The results show that the frequency of incident wave, the spring stiffness and the surface energy have significant effects on the dynamic stress concentration distributions of the nano-sized coated fiber. The smaller the spring coefficient is, the stronger the interface imperfection is, and the stronger the stress concentration at the boundary is. When the spring coefficient reaches a certain value, it is almost close to the dynamic stress value under the ideal interface. The DSCF are obviously different under different incident wave frequencies.

Published in	International Journal of Applied Mathematics and Theoretical Physics (Volume 5, Issue 2)
DOI	10.11648/j.ijamtp.20190502.11
Page(s)	38-44
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2019. Published by Science Publishing Group

Keywords

Scattering, Plane Compressional Wave, Imperfect Interface, Surface Effect, Dynamic Stress Concentration Factor

References

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APA Style

Dongxia Lei, Lizhen Wang, Zhiying Ou. (2019). Surface Effects on a Coated Fiber with an Imperfect Interface Subjected to Plane Compressional Wave. International Journal of Applied Mathematics and Theoretical Physics, 5(2), 38-44. https://doi.org/10.11648/j.ijamtp.20190502.11

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ACS Style

Dongxia Lei; Lizhen Wang; Zhiying Ou. Surface Effects on a Coated Fiber with an Imperfect Interface Subjected to Plane Compressional Wave. Int. J. Appl. Math. Theor. Phys. 2019, 5(2), 38-44. doi: 10.11648/j.ijamtp.20190502.11

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AMA Style

Dongxia Lei, Lizhen Wang, Zhiying Ou. Surface Effects on a Coated Fiber with an Imperfect Interface Subjected to Plane Compressional Wave. Int J Appl Math Theor Phys. 2019;5(2):38-44. doi: 10.11648/j.ijamtp.20190502.11

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@article{10.11648/j.ijamtp.20190502.11,
  author = {Dongxia Lei and Lizhen Wang and Zhiying Ou},
  title = {Surface Effects on a Coated Fiber with an Imperfect Interface Subjected to Plane Compressional Wave},
  journal = {International Journal of Applied Mathematics and Theoretical Physics},
  volume = {5},
  number = {2},
  pages = {38-44},
  doi = {10.11648/j.ijamtp.20190502.11},
  url = {https://doi.org/10.11648/j.ijamtp.20190502.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijamtp.20190502.11},
  abstract = {With the rapid development of nanotechnology, nano-components and nano-materials will be widely concerned and applied. At the nano-scale, due to the obvious increase the ratio of surface area to the volume effect and surface effect of nano-components and nano-materials are significant, making their mechanical properties significantly different from the material properties under the macroscopic conditions. And in the practical cases, the interface is not always perfect and smooth, they always have a certain form of defects. Therefore, the wave function expansion method is used in the analytical solutions of dynamic stress concentration factor (DSCF) around a coated fiber with an imperfect interface at nano-scale. The stress boundary conditions on the interface are obtained by using the generalized Young-Laplace equation and the imperfect displacement boundary conditions on the interface are modeled by a spring model. Considering the effects of surface and spring model, the influence of spring stiffness, the number of incident wave and the surface effects on the DSCF are analyzed. The results show that the frequency of incident wave, the spring stiffness and the surface energy have significant effects on the dynamic stress concentration distributions of the nano-sized coated fiber. The smaller the spring coefficient is, the stronger the interface imperfection is, and the stronger the stress concentration at the boundary is. When the spring coefficient reaches a certain value, it is almost close to the dynamic stress value under the ideal interface. The DSCF are obviously different under different incident wave frequencies.},
 year = {2019}
}

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TY  - JOUR
T1  - Surface Effects on a Coated Fiber with an Imperfect Interface Subjected to Plane Compressional Wave
AU  - Dongxia Lei
AU  - Lizhen Wang
AU  - Zhiying Ou
Y1  - 2019/06/20
PY  - 2019
N1  - https://doi.org/10.11648/j.ijamtp.20190502.11
DO  - 10.11648/j.ijamtp.20190502.11
T2  - International Journal of Applied Mathematics and Theoretical Physics
JF  - International Journal of Applied Mathematics and Theoretical Physics
JO  - International Journal of Applied Mathematics and Theoretical Physics
SP  - 38
EP  - 44
PB  - Science Publishing Group
SN  - 2575-5927
UR  - https://doi.org/10.11648/j.ijamtp.20190502.11
AB  - With the rapid development of nanotechnology, nano-components and nano-materials will be widely concerned and applied. At the nano-scale, due to the obvious increase the ratio of surface area to the volume effect and surface effect of nano-components and nano-materials are significant, making their mechanical properties significantly different from the material properties under the macroscopic conditions. And in the practical cases, the interface is not always perfect and smooth, they always have a certain form of defects. Therefore, the wave function expansion method is used in the analytical solutions of dynamic stress concentration factor (DSCF) around a coated fiber with an imperfect interface at nano-scale. The stress boundary conditions on the interface are obtained by using the generalized Young-Laplace equation and the imperfect displacement boundary conditions on the interface are modeled by a spring model. Considering the effects of surface and spring model, the influence of spring stiffness, the number of incident wave and the surface effects on the DSCF are analyzed. The results show that the frequency of incident wave, the spring stiffness and the surface energy have significant effects on the dynamic stress concentration distributions of the nano-sized coated fiber. The smaller the spring coefficient is, the stronger the interface imperfection is, and the stronger the stress concentration at the boundary is. When the spring coefficient reaches a certain value, it is almost close to the dynamic stress value under the ideal interface. The DSCF are obviously different under different incident wave frequencies.
VL  - 5
IS  - 2
ER  -

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Author Information

Dongxia Lei

School of Science, Lanzhou University of Technology, Lanzhou, China
Lizhen Wang

School of Science, Lanzhou University of Technology, Lanzhou, China
Zhiying Ou

School of Science, Lanzhou University of Technology, Lanzhou, China

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Plain Text BibTeX RIS

APA Style

Dongxia Lei, Lizhen Wang, Zhiying Ou. (2019). Surface Effects on a Coated Fiber with an Imperfect Interface Subjected to Plane Compressional Wave. International Journal of Applied Mathematics and Theoretical Physics, 5(2), 38-44. https://doi.org/10.11648/j.ijamtp.20190502.11

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ACS Style

Dongxia Lei; Lizhen Wang; Zhiying Ou. Surface Effects on a Coated Fiber with an Imperfect Interface Subjected to Plane Compressional Wave. Int. J. Appl. Math. Theor. Phys. 2019, 5(2), 38-44. doi: 10.11648/j.ijamtp.20190502.11

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AMA Style

Dongxia Lei, Lizhen Wang, Zhiying Ou. Surface Effects on a Coated Fiber with an Imperfect Interface Subjected to Plane Compressional Wave. Int J Appl Math Theor Phys. 2019;5(2):38-44. doi: 10.11648/j.ijamtp.20190502.11

Copy | Download

@article{10.11648/j.ijamtp.20190502.11,
  author = {Dongxia Lei and Lizhen Wang and Zhiying Ou},
  title = {Surface Effects on a Coated Fiber with an Imperfect Interface Subjected to Plane Compressional Wave},
  journal = {International Journal of Applied Mathematics and Theoretical Physics},
  volume = {5},
  number = {2},
  pages = {38-44},
  doi = {10.11648/j.ijamtp.20190502.11},
  url = {https://doi.org/10.11648/j.ijamtp.20190502.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijamtp.20190502.11},
  abstract = {With the rapid development of nanotechnology, nano-components and nano-materials will be widely concerned and applied. At the nano-scale, due to the obvious increase the ratio of surface area to the volume effect and surface effect of nano-components and nano-materials are significant, making their mechanical properties significantly different from the material properties under the macroscopic conditions. And in the practical cases, the interface is not always perfect and smooth, they always have a certain form of defects. Therefore, the wave function expansion method is used in the analytical solutions of dynamic stress concentration factor (DSCF) around a coated fiber with an imperfect interface at nano-scale. The stress boundary conditions on the interface are obtained by using the generalized Young-Laplace equation and the imperfect displacement boundary conditions on the interface are modeled by a spring model. Considering the effects of surface and spring model, the influence of spring stiffness, the number of incident wave and the surface effects on the DSCF are analyzed. The results show that the frequency of incident wave, the spring stiffness and the surface energy have significant effects on the dynamic stress concentration distributions of the nano-sized coated fiber. The smaller the spring coefficient is, the stronger the interface imperfection is, and the stronger the stress concentration at the boundary is. When the spring coefficient reaches a certain value, it is almost close to the dynamic stress value under the ideal interface. The DSCF are obviously different under different incident wave frequencies.},
 year = {2019}
}

Copy | Download

TY  - JOUR
T1  - Surface Effects on a Coated Fiber with an Imperfect Interface Subjected to Plane Compressional Wave
AU  - Dongxia Lei
AU  - Lizhen Wang
AU  - Zhiying Ou
Y1  - 2019/06/20
PY  - 2019
N1  - https://doi.org/10.11648/j.ijamtp.20190502.11
DO  - 10.11648/j.ijamtp.20190502.11
T2  - International Journal of Applied Mathematics and Theoretical Physics
JF  - International Journal of Applied Mathematics and Theoretical Physics
JO  - International Journal of Applied Mathematics and Theoretical Physics
SP  - 38
EP  - 44
PB  - Science Publishing Group
SN  - 2575-5927
UR  - https://doi.org/10.11648/j.ijamtp.20190502.11
AB  - With the rapid development of nanotechnology, nano-components and nano-materials will be widely concerned and applied. At the nano-scale, due to the obvious increase the ratio of surface area to the volume effect and surface effect of nano-components and nano-materials are significant, making their mechanical properties significantly different from the material properties under the macroscopic conditions. And in the practical cases, the interface is not always perfect and smooth, they always have a certain form of defects. Therefore, the wave function expansion method is used in the analytical solutions of dynamic stress concentration factor (DSCF) around a coated fiber with an imperfect interface at nano-scale. The stress boundary conditions on the interface are obtained by using the generalized Young-Laplace equation and the imperfect displacement boundary conditions on the interface are modeled by a spring model. Considering the effects of surface and spring model, the influence of spring stiffness, the number of incident wave and the surface effects on the DSCF are analyzed. The results show that the frequency of incident wave, the spring stiffness and the surface energy have significant effects on the dynamic stress concentration distributions of the nano-sized coated fiber. The smaller the spring coefficient is, the stronger the interface imperfection is, and the stronger the stress concentration at the boundary is. When the spring coefficient reaches a certain value, it is almost close to the dynamic stress value under the ideal interface. The DSCF are obviously different under different incident wave frequencies.
VL  - 5
IS  - 2
ER  -

Copy | Download