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Advances in Mathematical Modeling and Experimental Methods for Materials and Structures pp 89–102Cite as

Computational Homogenization of Polymeric Nanofiber Scaffolds and Biological Cells

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Part of the book series: Solid Mechanics and Its Applications ((SMIA,volume 168))

Abstract

An understanding of the structure–property relationship is essential for the estimation of mechanical properties of nano-materials like polymeric nanofibers and biological materials like cells and tissues. The properties of these structures are closely related to the internal molecular structure and therefore a multiscale based mathematical modeling is required for the determination of its macroscopic properties. In this investigation, we present multiscale mathematical models to estimate the mechanical properties of polymeric nanofibers from the basic building blocks to the macroscale nanofibrous structures and also study the homogenization of biological cells considering the microcellular constituents.Theoretical analysis of polymeric nanofibers based scaffolds are necessary towards designing novel bio-medical applications, while through homogenization of biological cells new diagnostic tools based on mechanical properties could be developed.

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Acknowledgements

The authors gratefully acknowledge the support of this research through Oscar S. Wyatt Endowed Chair funds at the Texas A&M University.

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Authors and Affiliations

  1. Advanced Computational Mechanics Laboratory, Department of Mechanical Engineering, Texas A&M University, College Station, TX, 77843-3123, USA

    J. N. Reddy

Authors
  1. J. N. Reddy
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  2. V. U. Unnikrishnan
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  3. G. U. Unnikrishnan
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Corresponding author

Correspondence to J. N. Reddy .

Editor information

Editors and Affiliations

  1. Center of Samaria, Ariel University, Ariel, 44837, Israel

    Rivka Gilat

  2. Fac. Engineering, Tel Aviv University, Ramat Aviv, Tel-Aviv, 69978, Israel

    Leslie Banks-Sills

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Reddy, J.N., Unnikrishnan, V.U., Unnikrishnan, G.U. (2009). Computational Homogenization of Polymeric Nanofiber Scaffolds and Biological Cells. In: Gilat, R., Banks-Sills, L. (eds) Advances in Mathematical Modeling and Experimental Methods for Materials and Structures. Solid Mechanics and Its Applications, vol 168. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-3467-0_7

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  • DOI: https://doi.org/10.1007/978-90-481-3467-0_7

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  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-3466-3

  • Online ISBN: 978-90-481-3467-0

  • eBook Packages: EngineeringEngineering (R0)

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