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Mathematical Preliminaries

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Book cover Theory of Elasticity and Thermal Stresses

Part of the book series: Solid Mechanics and Its Applications ((SMIA,volume 197))

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Abstract

In this chapter the basic definitions of vector and tensor algebra, elements of tensor differential and integral calculus, and concept of a convolutional product for two time-dependent tensor fields are recalled. These concepts are then used to solve particular problems related to the Mathematical Preliminaries.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Amirkabir University of Technology, 11369, Tehran, Iran

    M. Reza Eslami

  2. Department of Mechanical Engineering, Rochester Institute of Technology, Rochester, NY, USA

    Richard B. Hetnarski

  3. Institute of Fundamental Technological Research, Polish Academy of Sciences, Ul. Miaczynska 54 m. 19, 02-637, Warsaw, Poland

    Jozef Ignaczak

  4. Department of Mechanical Engineering, Shizuoka University, 3-5-1 Johoku, Naka-ku, Hamamatsu, Japan

    Naotake Noda

  5. Faculty of Education, Shizuoka University, 836 Ooya, Suruga-ku, Shizuoka, Japan

    Naobumi Sumi

  6. Department of Mechanical Engineering, Osaka Prefecture University, 1-1 Gauken-Chou, Naka-ku, Sakai, Osaka, Japan

    Yoshinobu Tanigawa

Authors
  1. M. Reza Eslami
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  2. Richard B. Hetnarski
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  3. Jozef Ignaczak
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  4. Naotake Noda
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  5. Naobumi Sumi
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  6. Yoshinobu Tanigawa
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Corresponding author

Correspondence to M. Reza Eslami .

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© 2013 Springer Science+Business Media Dordrecht

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Eslami, M.R., Hetnarski, R.B., Ignaczak, J., Noda, N., Sumi, N., Tanigawa, Y. (2013). Mathematical Preliminaries. In: Theory of Elasticity and Thermal Stresses. Solid Mechanics and Its Applications, vol 197. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-6356-2_1

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  • DOI: https://doi.org/10.1007/978-94-007-6356-2_1

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-007-6355-5

  • Online ISBN: 978-94-007-6356-2

  • eBook Packages: EngineeringEngineering (R0)

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