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Year 2020, Volume: 12 Issue: 3, 99 - 110, 13.12.2020

Hayri Metin Numanoğlu

https://doi.org/10.24107/ijeas.784042
Cited By: 2

Abstract

References

  • Feynman, R.P., There’s plenty of room at the bottom. Engineering and Science, 23, 22-36, 1960.
  • Iijima, S., Helical microtubules of graphitic carbon. Nature, 354, 56-58, 1991.
  • Iijima, S., Ichihashi, T., Single-shell carbon nanotubes of 1-nm diameter. Nature, 363, 603-605, 1993.
  • Chopra, N.G., Zettl, A., Measurement of the elastic modulus of a multi-wall boron nitride nanotube. Solid State Communications, 105, 297-300, 1997.
  • Zhu, Y., Murali, S., Cai, W., Li, Suk, J.W., Potts, J.R., Ruoff, R.S. Graphene and Graphene Oxide: Synthesis, Properties, and Applications, Advanced Materials, 22, 2010.
  • Chen, K.I., Li, B.R., Chen, Y.T., Silicon nanowire field-effect transistor-based biosensors for biomedical diagnosis and cellular recording investigation. Nano Today, 6, 131-154, 2011.
  • Liu, Y.Y., Wang, X.Y., Cao, Y., Chen, X.D., Xie, S.F., Zheng, X.J., Zeng, H.D., A flexible blue light-emitting diode based on ZnO nanowire/polyaniline heterojunctions. Journal of Nanomaterials, 870254, 2013.
  • Zhang, P., Wyman, I., Hu, J., Lin, S., Zhong, Z., Tu, Y., Huang, Z., Wei, Y., Silver nanowires: Synthesis Technologies, growth mechanism and multifunctional applications, Materials Science and Engineering B, 223, 1–23, 2017.
  • Eringen, A.C., Edelen, D.G.B., On nonlocal elasticity. International Journal of Engineering Science, 10, 233-248, 1972.
  • Eringen, A.C., On differential equations of non local elasticity and solutions of screw dislocation and surface waves. Journal of Applied Physics, 54, 4703, 1983.
  • Toupin, R.A., Elastic materials with couple-stresses. Archive for Rational Mechanics and Analysis, 11, 385-414. 1962.
  • Koiter, W.T., Couple stresses in the theory of elasticity. I & II. Philosophical Transactions of the Royal Society of London B, 67, 17-44, 1964.
  • Yang, F., Chong, A.C.M., Lam, D.C.C., Tong, P., Couple stress based strain gradient theory for elasticity. International Journal of Solids and Structures, 39, 2731-2743, 2002.
  • Akgöz, B., Civalek, Ö., A size-dependent beam model for stability of axially loaded carbon nanotubes surrounded by Pasternak elastic foundation. Composite Structures, 176, 1028-1038, 2017.
  • Gurtin, M.E., Murdoch, A.I., A continuum theory of elastic material surfaces. Archive for Rational Mechanics and Analysis, 57, 291-323, 1975.
  • Gurtin, M.E., Murdoch, A.I., Surface stress in solids. International Journal of Solids and Structures, 14, 431-440. 1978.
  • Granik, V.T., Ferrari, J.W., Microstructural mechanics of granular media. Mechanics of Materials, 15.301-322, 1993.
  • Sudak, L.J., Column buckling of multiwalled carbon nanotubes using nonlocal continuum mechanics. Journal of Applied Physics, 94, 7281-7287, 2003.
  • Wang, Q., Liew, K.M., Application of nonlocal continuum mechanics to static analysis of micro- and nano-structures. Physics Letters A, 363, 236-242, 2007.
  • Wang, Q., Varadan, V.K., Vibration of carbon nanotubes studied using nonlocal continuum mechanics. Smart Materials and Structures, 15, 659, 2006.
  • Reddy, J.N., Nonlocal theories for bending, buckling and vibration of beams. International Journal of Engineering Science, 45, 288-307, 2007.
  • Reddy, J.N., Pang, S.D., Nonlocal continuum theories of beams for the analysis of carbon nanotubes. Journal of Applied Physics, 103, 023511, 2008.
  • Ghannadpour, S.A.M., Mohammadi, B., Fazilati, J., Bending, buckling and vibration problems of nonlocal Euler beams using Ritz method. Composite Structures, 96, 584-589, 2013.
  • Lu, P., Lee, H.P., Lu, C., Zhang, P.Q., Application of nonlocal beam models for carbon nanotubes. International Journal of Solids and Structures, 44, 5289-5300, 2007.
  • Numanoğlu, H.M., Vibration analysis of beam and rod models of nanostructures based on nonlocal elasticity theory (In Turkish). BSc. Thesis, Akdeniz University, Antalya, 2017.
  • Aydogdu, M., Axial vibration of the nanorods with the nonlocal continuum rod model. Physica E: Low-dimensional Systems and Nanostructures, 41, 861-864, 2009.
  • Demir, Ç., Civalek, Ö., Torsional and longitudinal frequency and wave response of microtubules based on the nonlocal continuum and nonlocal discrete models. Applied Mathematical Modelling, 37, 9355-9367, 2013.
  • Lim, C.W., Islam, M.Z., Zhang, G., A nonlocal finite element method for torsional statics and dynamics of circular nanostructures. International Journal of Mechanical Sciences, 94-95, 232-243, 2015.
  • Li, X.-F., Shen, Z.B., Lee, K.Y., Axial wave propagation and vibration of nonlocal nanorods with radial deformation and inertia. ZAMM Journal of Applied Mathematics and Mechanics: Zeitschrift für Angewandte Mathematik und Mechanik, 97, 602-616, 2017.
  • Yayli, M.Ö., On the torsional vibrations of restrained nanotubes embedded in an elastic medium. Journal of the Brazilian Society of Mechanical Sciences and Engineering, 40, 419, 2018.
  • Numanoğlu, H.M., Akgöz, B., Civalek, Ö., On dynamic analysis of nanorods. International Journal of Engineering Science, 130, 33-50, 2018.
  • Karlicic, D.Z., Ayed, S., Flaieh, E., Nonlocal axial vibration of the multiple Bishop nanorod system. Mathematics and Mechanics of Solids, 24, 1668-1691, 2018.
  • Jalaei, M., Civalek, Ӧ., On dynamic instability of magnetically embedded viscoelastic porous FG nanobeam. International Journal of Engineering Science, 143, 14-32, 2019.
  • Numanoğlu, H.M., Mercan, K., Civalek, Ö., Frequency and mode shapes of Au nanowires using the continuous beam models. International Journal of Engineering and Applied Sciences, 9, 55-61, 2017.
  • Uzun, B., Civalek, Ö., Carbon nanotube beam model and free vibration analysis. International Journal of Engineering & Applied Sciences, 10, 1-4, 2018.
  • Numanoğlu, H.M., Civalek, Ö., Elastic beam model and bending analysis of silver nanowires. International Journal of Engineering and Applied Sciences, 10, 13-20, 2018.
  • Civalek, Ö., Finite Element analysis of plates and shells. Fırat University, Elazığ, 1998.
  • Adhikari, S., Murmu, T., McCarthy, M.A., Dynamic finite element analysis of axially vibrating nonlocal rods. Finite Elements in Analysis and Design, 630, 42-50, 2013.
  • Adhikari, S., Murmu, T., McCarthy, M.A., Frequency domain analysis of Nonlocal rods embedded in an elastic medium. Physica E: Low-dimensional Systems and Nanostructures, 59, 33-40, 2014.
  • Eltaher, M.A., Alshorbagy, A.E., Mahmoud, F.F., Vibration analysis of Euler–Bernoulli nanobeams by using finite element method. Applied Mathematical Modelling, 37, 4787-4797, 2013.
  • Pradhan, S.C., Mandal, U., Finite element analysis of CNTs based on nonlocal elasticity and Timoshenko beam theory including thermal effect. Physica E: Low-dimensional Systems and Nanostructures, 53, 223-232, 2013
  • Civalek, Ö., Demir, C., A simple mathematical model of microtubules surrounded by an elastic matrix by nonlocal finite element method. Applied Mathematics and Computation, 289, 335-352, 2016.
  • Demir, Ç., Civalek, Ö., A new nonlocal FEM via Hermitian cubic shape functions for thermal vibration of nano beams surrounded by an elastic matrix. Composite Structures, 168, 872-884, 2017.
  • Işik Ç., Mercan K., Numanoğlu H.M., Civalek Ö., Bending response of nanobeams resting on elastic foundation. Journal of Applied and Computational Mechanics, 4, 105-114, 2017.
  • Uzun B., Numanoğlu H.M., Civalek Ö., Free vibration analysis of BNNT with different cross-sections via nonlocal FEM. Journal of Computational Applied Mechanics, 49, 252-260, 2018.
  • Numanoğlu H.M., Uzun, B., Civalek, Ö., Derivation of nonlocal finite element formulation for nano beams. International Journal of Engineering and Applied Sciences, 10, 131-139, 2018. Numanoğlu H.M., Civalek Ö., On the dynamics of small-sized structures. International Journal of Engineering Science, 145, 103164, 2019.
  • Numanoğlu H.M., Civalek Ö., On the torsional vibration of nanorods surrounded by elastic matrix via nonlocal FEM. International Journal of Mechanical Sciences, 161-162, 105076, 2019.
  • Numanoğlu, H.M., Dynamic analysis of nano continuous and discrete structures based on nonlocal finite element formulation (NL-FEM) (In Turkish). MSc. Thesis, Akdeniz University, Antalya, 2019.
  • Civalek, Ö., Numanoğlu H.M., Nonlocal finite element analysis for axial vibration of embedded Love–Bishop nanorods. International Journal of Mechanical Sciences, 188, 105939, 2020.
  • Uzun, B., Civalek, O., Nonlocal FEM formulation for vibration analysis of nanowires on elastic matrix with different materials. Mathematical and Computational Applications. 24, 38, 2019.
  • Civalek, O., Uzun, B., Yaylı, M.O., Akgöz, B., Size-dependent transverse and longitudinal vibrations of embedded carbon and silica carbide nanotubes by nonlocal finite element method. European Physical Journal Plus, 135, 381, 2020.
  • AlSaid-Alwan, H.H.S., Avcar, M., Analytical solution of free vibration of FG beam utilizing different types of beam theories: A comparative study. Computers and Concrete, 26, 285-292, 2020.
  • Civalek, Ö., Kiracioglu, O., Free vibration analysis of Timoshenko beams by DSC method. International Journal for Numerical Methods in Biomedical Engineering, 26, 1890-1898, 2010.
  • Civalek, O., Yavas, A., Large deflection static analysis of rectangular plates on two parameter elastic foundations. International Journal of Science and Technology, 1, 43-50, 2006.
  • Civalek, Ö., Geometrically non-linear static and dynamic analysis of plates and shells resting on elastic foundation by the method of polynomial differential quadrature (PDQ) (In Turkish). PhD Thesis, Fırat University, Elazığ, 2004.
  • Mercan, K., Demir, Ç., Civalek, Ö., Vibration analysis of FG cylindrical shells with power-law index using discrete singular convolution technique. Curved and Layered Structures 3, 82-90, 2016.
  • Civalek, Ö., Geometrically nonlinear dynamic and static analysis of shallow spherical shell resting on two-parameters elastic foundations. International Journal of Pressure Vessels and Piping, 113, 1-9, 2014.
  • Gurses, M., Akgoz, B., Civalek, O., Mathematical modeling of vibration problem of nano-sized annular sector plates using the nonlocal continuum theory via eight-node discrete singular convolution transformation. Applied Mathematics and Computation, 219, 3226-3240, 2012.
  • Civalek, Ö., Avcar, M., Free vibration and buckling analyses of CNT reinforced laminated non-rectangular plates by discrete singular convolution method. Engineering with Computers, 2020.
  • Huang, Y., Bai, X., Zhang, Y., In situ mechanical properties of individual ZnO nanowires and the mass measurement of nanoparticles. Journal of Physics: Condensed Matter, 18, L179, 2006.
  • Zinc Oxide Nanowires. (05.08.2020) https://www.americanelements.com/zinc-oxide-nanowires-1314-13-2. 2019.
  • Shrama, S.K, Saurakhiya, N., Barthwal, S., Kumar, R., Sharma, A., Tuning of structural, optical, and magnetic properties of ultrathin and thin ZnO nanowire arrays for nano device applications. Nanoscale Research Letters, 9, 122, 2014.

Thermal Vibration of Zinc Oxide Nanowires by using Nonlocal Finite Element Method

Year 2020, Volume: 12 Issue: 3, 99 - 110, 13.12.2020

Hayri Metin Numanoğlu

https://doi.org/10.24107/ijeas.784042
Cited By: 2

Abstract

Zinc oxide nanowires (ZnO NWs) can be used in some NEMS applications due to their remarkable chemical, physical, mechanical and thermal resistance properties. In terms of the suitability of such NEMS organizations, a correct mechanical model and design of ZnO NWs should also be established under different effects. In this study, thermal vibration analyses of elastic beam models of ZnO NWs are examined based on Eringen's nonlocal elasticity theory. The resulting equation of motion is solved with a finite element formulation developed for the atomic size-effect and thermal environment. The vibration frequencies of ZnO NWs with different boundary conditions are calculated under nonlocal parameter and temperature change values ​​and numerical results were discussed.

Keywords

Finite element method Nonlocal elasticity Thermal environment Vibration Zinc Oxide Nanowires

References

  • Feynman, R.P., There’s plenty of room at the bottom. Engineering and Science, 23, 22-36, 1960.
  • Iijima, S., Helical microtubules of graphitic carbon. Nature, 354, 56-58, 1991.
  • Iijima, S., Ichihashi, T., Single-shell carbon nanotubes of 1-nm diameter. Nature, 363, 603-605, 1993.
  • Chopra, N.G., Zettl, A., Measurement of the elastic modulus of a multi-wall boron nitride nanotube. Solid State Communications, 105, 297-300, 1997.
  • Zhu, Y., Murali, S., Cai, W., Li, Suk, J.W., Potts, J.R., Ruoff, R.S. Graphene and Graphene Oxide: Synthesis, Properties, and Applications, Advanced Materials, 22, 2010.
  • Chen, K.I., Li, B.R., Chen, Y.T., Silicon nanowire field-effect transistor-based biosensors for biomedical diagnosis and cellular recording investigation. Nano Today, 6, 131-154, 2011.
  • Liu, Y.Y., Wang, X.Y., Cao, Y., Chen, X.D., Xie, S.F., Zheng, X.J., Zeng, H.D., A flexible blue light-emitting diode based on ZnO nanowire/polyaniline heterojunctions. Journal of Nanomaterials, 870254, 2013.
  • Zhang, P., Wyman, I., Hu, J., Lin, S., Zhong, Z., Tu, Y., Huang, Z., Wei, Y., Silver nanowires: Synthesis Technologies, growth mechanism and multifunctional applications, Materials Science and Engineering B, 223, 1–23, 2017.
  • Eringen, A.C., Edelen, D.G.B., On nonlocal elasticity. International Journal of Engineering Science, 10, 233-248, 1972.
  • Eringen, A.C., On differential equations of non local elasticity and solutions of screw dislocation and surface waves. Journal of Applied Physics, 54, 4703, 1983.
  • Toupin, R.A., Elastic materials with couple-stresses. Archive for Rational Mechanics and Analysis, 11, 385-414. 1962.
  • Koiter, W.T., Couple stresses in the theory of elasticity. I & II. Philosophical Transactions of the Royal Society of London B, 67, 17-44, 1964.
  • Yang, F., Chong, A.C.M., Lam, D.C.C., Tong, P., Couple stress based strain gradient theory for elasticity. International Journal of Solids and Structures, 39, 2731-2743, 2002.
  • Akgöz, B., Civalek, Ö., A size-dependent beam model for stability of axially loaded carbon nanotubes surrounded by Pasternak elastic foundation. Composite Structures, 176, 1028-1038, 2017.
  • Gurtin, M.E., Murdoch, A.I., A continuum theory of elastic material surfaces. Archive for Rational Mechanics and Analysis, 57, 291-323, 1975.
  • Gurtin, M.E., Murdoch, A.I., Surface stress in solids. International Journal of Solids and Structures, 14, 431-440. 1978.
  • Granik, V.T., Ferrari, J.W., Microstructural mechanics of granular media. Mechanics of Materials, 15.301-322, 1993.
  • Sudak, L.J., Column buckling of multiwalled carbon nanotubes using nonlocal continuum mechanics. Journal of Applied Physics, 94, 7281-7287, 2003.
  • Wang, Q., Liew, K.M., Application of nonlocal continuum mechanics to static analysis of micro- and nano-structures. Physics Letters A, 363, 236-242, 2007.
  • Wang, Q., Varadan, V.K., Vibration of carbon nanotubes studied using nonlocal continuum mechanics. Smart Materials and Structures, 15, 659, 2006.
  • Reddy, J.N., Nonlocal theories for bending, buckling and vibration of beams. International Journal of Engineering Science, 45, 288-307, 2007.
  • Reddy, J.N., Pang, S.D., Nonlocal continuum theories of beams for the analysis of carbon nanotubes. Journal of Applied Physics, 103, 023511, 2008.
  • Ghannadpour, S.A.M., Mohammadi, B., Fazilati, J., Bending, buckling and vibration problems of nonlocal Euler beams using Ritz method. Composite Structures, 96, 584-589, 2013.
  • Lu, P., Lee, H.P., Lu, C., Zhang, P.Q., Application of nonlocal beam models for carbon nanotubes. International Journal of Solids and Structures, 44, 5289-5300, 2007.
  • Numanoğlu, H.M., Vibration analysis of beam and rod models of nanostructures based on nonlocal elasticity theory (In Turkish). BSc. Thesis, Akdeniz University, Antalya, 2017.
  • Aydogdu, M., Axial vibration of the nanorods with the nonlocal continuum rod model. Physica E: Low-dimensional Systems and Nanostructures, 41, 861-864, 2009.
  • Demir, Ç., Civalek, Ö., Torsional and longitudinal frequency and wave response of microtubules based on the nonlocal continuum and nonlocal discrete models. Applied Mathematical Modelling, 37, 9355-9367, 2013.
  • Lim, C.W., Islam, M.Z., Zhang, G., A nonlocal finite element method for torsional statics and dynamics of circular nanostructures. International Journal of Mechanical Sciences, 94-95, 232-243, 2015.
  • Li, X.-F., Shen, Z.B., Lee, K.Y., Axial wave propagation and vibration of nonlocal nanorods with radial deformation and inertia. ZAMM Journal of Applied Mathematics and Mechanics: Zeitschrift für Angewandte Mathematik und Mechanik, 97, 602-616, 2017.
  • Yayli, M.Ö., On the torsional vibrations of restrained nanotubes embedded in an elastic medium. Journal of the Brazilian Society of Mechanical Sciences and Engineering, 40, 419, 2018.
  • Numanoğlu, H.M., Akgöz, B., Civalek, Ö., On dynamic analysis of nanorods. International Journal of Engineering Science, 130, 33-50, 2018.
  • Karlicic, D.Z., Ayed, S., Flaieh, E., Nonlocal axial vibration of the multiple Bishop nanorod system. Mathematics and Mechanics of Solids, 24, 1668-1691, 2018.
  • Jalaei, M., Civalek, Ӧ., On dynamic instability of magnetically embedded viscoelastic porous FG nanobeam. International Journal of Engineering Science, 143, 14-32, 2019.
  • Numanoğlu, H.M., Mercan, K., Civalek, Ö., Frequency and mode shapes of Au nanowires using the continuous beam models. International Journal of Engineering and Applied Sciences, 9, 55-61, 2017.
  • Uzun, B., Civalek, Ö., Carbon nanotube beam model and free vibration analysis. International Journal of Engineering & Applied Sciences, 10, 1-4, 2018.
  • Numanoğlu, H.M., Civalek, Ö., Elastic beam model and bending analysis of silver nanowires. International Journal of Engineering and Applied Sciences, 10, 13-20, 2018.
  • Civalek, Ö., Finite Element analysis of plates and shells. Fırat University, Elazığ, 1998.
  • Adhikari, S., Murmu, T., McCarthy, M.A., Dynamic finite element analysis of axially vibrating nonlocal rods. Finite Elements in Analysis and Design, 630, 42-50, 2013.
  • Adhikari, S., Murmu, T., McCarthy, M.A., Frequency domain analysis of Nonlocal rods embedded in an elastic medium. Physica E: Low-dimensional Systems and Nanostructures, 59, 33-40, 2014.
  • Eltaher, M.A., Alshorbagy, A.E., Mahmoud, F.F., Vibration analysis of Euler–Bernoulli nanobeams by using finite element method. Applied Mathematical Modelling, 37, 4787-4797, 2013.
  • Pradhan, S.C., Mandal, U., Finite element analysis of CNTs based on nonlocal elasticity and Timoshenko beam theory including thermal effect. Physica E: Low-dimensional Systems and Nanostructures, 53, 223-232, 2013
  • Civalek, Ö., Demir, C., A simple mathematical model of microtubules surrounded by an elastic matrix by nonlocal finite element method. Applied Mathematics and Computation, 289, 335-352, 2016.
  • Demir, Ç., Civalek, Ö., A new nonlocal FEM via Hermitian cubic shape functions for thermal vibration of nano beams surrounded by an elastic matrix. Composite Structures, 168, 872-884, 2017.
  • Işik Ç., Mercan K., Numanoğlu H.M., Civalek Ö., Bending response of nanobeams resting on elastic foundation. Journal of Applied and Computational Mechanics, 4, 105-114, 2017.
  • Uzun B., Numanoğlu H.M., Civalek Ö., Free vibration analysis of BNNT with different cross-sections via nonlocal FEM. Journal of Computational Applied Mechanics, 49, 252-260, 2018.
  • Numanoğlu H.M., Uzun, B., Civalek, Ö., Derivation of nonlocal finite element formulation for nano beams. International Journal of Engineering and Applied Sciences, 10, 131-139, 2018. Numanoğlu H.M., Civalek Ö., On the dynamics of small-sized structures. International Journal of Engineering Science, 145, 103164, 2019.
  • Numanoğlu H.M., Civalek Ö., On the torsional vibration of nanorods surrounded by elastic matrix via nonlocal FEM. International Journal of Mechanical Sciences, 161-162, 105076, 2019.
  • Numanoğlu, H.M., Dynamic analysis of nano continuous and discrete structures based on nonlocal finite element formulation (NL-FEM) (In Turkish). MSc. Thesis, Akdeniz University, Antalya, 2019.
  • Civalek, Ö., Numanoğlu H.M., Nonlocal finite element analysis for axial vibration of embedded Love–Bishop nanorods. International Journal of Mechanical Sciences, 188, 105939, 2020.
  • Uzun, B., Civalek, O., Nonlocal FEM formulation for vibration analysis of nanowires on elastic matrix with different materials. Mathematical and Computational Applications. 24, 38, 2019.
  • Civalek, O., Uzun, B., Yaylı, M.O., Akgöz, B., Size-dependent transverse and longitudinal vibrations of embedded carbon and silica carbide nanotubes by nonlocal finite element method. European Physical Journal Plus, 135, 381, 2020.
  • AlSaid-Alwan, H.H.S., Avcar, M., Analytical solution of free vibration of FG beam utilizing different types of beam theories: A comparative study. Computers and Concrete, 26, 285-292, 2020.
  • Civalek, Ö., Kiracioglu, O., Free vibration analysis of Timoshenko beams by DSC method. International Journal for Numerical Methods in Biomedical Engineering, 26, 1890-1898, 2010.
  • Civalek, O., Yavas, A., Large deflection static analysis of rectangular plates on two parameter elastic foundations. International Journal of Science and Technology, 1, 43-50, 2006.
  • Civalek, Ö., Geometrically non-linear static and dynamic analysis of plates and shells resting on elastic foundation by the method of polynomial differential quadrature (PDQ) (In Turkish). PhD Thesis, Fırat University, Elazığ, 2004.
  • Mercan, K., Demir, Ç., Civalek, Ö., Vibration analysis of FG cylindrical shells with power-law index using discrete singular convolution technique. Curved and Layered Structures 3, 82-90, 2016.
  • Civalek, Ö., Geometrically nonlinear dynamic and static analysis of shallow spherical shell resting on two-parameters elastic foundations. International Journal of Pressure Vessels and Piping, 113, 1-9, 2014.
  • Gurses, M., Akgoz, B., Civalek, O., Mathematical modeling of vibration problem of nano-sized annular sector plates using the nonlocal continuum theory via eight-node discrete singular convolution transformation. Applied Mathematics and Computation, 219, 3226-3240, 2012.
  • Civalek, Ö., Avcar, M., Free vibration and buckling analyses of CNT reinforced laminated non-rectangular plates by discrete singular convolution method. Engineering with Computers, 2020.
  • Huang, Y., Bai, X., Zhang, Y., In situ mechanical properties of individual ZnO nanowires and the mass measurement of nanoparticles. Journal of Physics: Condensed Matter, 18, L179, 2006.
  • Zinc Oxide Nanowires. (05.08.2020) https://www.americanelements.com/zinc-oxide-nanowires-1314-13-2. 2019.
  • Shrama, S.K, Saurakhiya, N., Barthwal, S., Kumar, R., Sharma, A., Tuning of structural, optical, and magnetic properties of ultrathin and thin ZnO nanowire arrays for nano device applications. Nanoscale Research Letters, 9, 122, 2014.
There are 62 citations in total.

Details

Primary Language English
Subjects Engineering
Journal Section Articles
Authors

Hayri Metin Numanoğlu 0000-0003-0556-7850

Publication Date December 13, 2020
Acceptance Date December 4, 2020
Published in Issue Year 2020 Volume: 12 Issue: 3

Cite

APA Numanoğlu, H. M. (2020). Thermal Vibration of Zinc Oxide Nanowires by using Nonlocal Finite Element Method. International Journal of Engineering and Applied Sciences, 12(3), 99-110. https://doi.org/10.24107/ijeas.784042
AMA Numanoğlu HM. Thermal Vibration of Zinc Oxide Nanowires by using Nonlocal Finite Element Method. IJEAS. December 2020;12(3):99-110. doi:10.24107/ijeas.784042
Chicago Numanoğlu, Hayri Metin. “Thermal Vibration of Zinc Oxide Nanowires by Using Nonlocal Finite Element Method”. International Journal of Engineering and Applied Sciences 12, no. 3 (December 2020): 99-110. https://doi.org/10.24107/ijeas.784042.
EndNote Numanoğlu HM (December 1, 2020) Thermal Vibration of Zinc Oxide Nanowires by using Nonlocal Finite Element Method. International Journal of Engineering and Applied Sciences 12 3 99–110.
IEEE H. M. Numanoğlu, “Thermal Vibration of Zinc Oxide Nanowires by using Nonlocal Finite Element Method”, IJEAS, vol. 12, no. 3, pp. 99–110, 2020, doi: 10.24107/ijeas.784042.
ISNAD Numanoğlu, Hayri Metin. “Thermal Vibration of Zinc Oxide Nanowires by Using Nonlocal Finite Element Method”. International Journal of Engineering and Applied Sciences 12/3 (December 2020), 99-110. https://doi.org/10.24107/ijeas.784042.
JAMA Numanoğlu HM. Thermal Vibration of Zinc Oxide Nanowires by using Nonlocal Finite Element Method. IJEAS. 2020;12:99–110.
MLA Numanoğlu, Hayri Metin. “Thermal Vibration of Zinc Oxide Nanowires by Using Nonlocal Finite Element Method”. International Journal of Engineering and Applied Sciences, vol. 12, no. 3, 2020, pp. 99-110, doi:10.24107/ijeas.784042.
Vancouver Numanoğlu HM. Thermal Vibration of Zinc Oxide Nanowires by using Nonlocal Finite Element Method. IJEAS. 2020;12(3):99-110.

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