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Finite Element Investigation of Effective Moduli of Transversely Isotropic Thermoelastic Materials with Nanoscale Porosity

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Advanced Materials

Part of the book series: Springer Proceedings in Materials ((SPM,volume 6))

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Abstract

Using the methods of effective moduli and finite elements, the effective properties of nanoporous thermoelastic transversely isotropic materials were studied for simple random and for closed structures of porosity. Nanoscale effects were modelled in the framework of the Gurtin-Murdoch model of interface stresses and of the high conductivity model. The modelling and solution of homogenization problems was performed in the ANSYS package, while structures of representative volumes with closed porosity were created in the ACELAN-COMPOS package. The effect of porosity, types of representative volumes and pore sizes on the values of the effective modules of nanoporous titanium is analysed.

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Acknowledgements

The work was done in the framework of the Ministry of Science and Higher Education of Russia project No. 9.1001.2017/4.6 in part of the analysis of algorithms for creating granular composite structures and in the framework of the RFBR project 16-58-48009 IND_omi and DST in part of analyzing the effective properties of nanostructured porous thermoelastic composites.

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Authors and Affiliations

  1. Institute of Mathematics, Mechanics and Computer Science, Southern Federal University, 8a, Milchakova Street, Rostov-on-Don, Russia, 344090

    Andrey Nasedkin & Anna Nasedkina

  2. Department of Civil Engineering, Indian Institute of Technology, Hyderabad, 502205, India

    Amirtham Rajagopal

Authors
  1. Andrey Nasedkin
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  2. Anna Nasedkina
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  3. Amirtham Rajagopal
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Correspondence to Andrey Nasedkin .

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Editors and Affiliations

  1. I. I. Vorovich Mathematics, Mechanics and Computer Sciences Institute, Southern Federal University, Rostov-on-Don, Russia

    Ivan A. Parinov

  2. Department of Microelectronics Engineering, National Kaohsiung University of Science and Technology, Kaohsiung, Taiwan

    Shun-Hsyung Chang

  3. School of Mechanical Engineering, Hanoi University of Science and Technology, Hanoi, Vietnam

    Banh Tien Long

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Nasedkin, A., Nasedkina, A., Rajagopal, A. (2020). Finite Element Investigation of Effective Moduli of Transversely Isotropic Thermoelastic Materials with Nanoscale Porosity. In: Parinov, I., Chang, SH., Long, B. (eds) Advanced Materials. Springer Proceedings in Materials, vol 6. Springer, Cham. https://doi.org/10.1007/978-3-030-45120-2_27

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