Mathematical Preliminaries

  • M. Reza Eslami
  • Richard B. Hetnarski
  • Jozef Ignaczak
  • Naotake Noda
  • Naobumi Sumi
  • Yoshinobu Tanigawa
Chapter
Part of the Solid Mechanics and Its Applications book series (SMIA, volume 197)

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.

Keywords

Vector Field Scalar Field Orthonormal Basis Symmetric Tensor Tensor Field 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Copyright information

© Springer Science+Business Media Dordrecht 2013

Authors and Affiliations

  • M. Reza Eslami
    • 1
  • Richard B. Hetnarski
    • 2
  • Jozef Ignaczak
    • 3
  • Naotake Noda
    • 4
  • Naobumi Sumi
    • 5
  • Yoshinobu Tanigawa
    • 6
  1. 1.Department of Mechanical EngineeringAmirkabir University of TechnologyTehranIran
  2. 2.Department of Mechanical EngineeringRochester Institute of TechnologyRochesterUSA
  3. 3.Institute of Fundamental Technological ResearchPolish Academy of SciencesWarsawPoland
  4. 4.Department of Mechanical EngineeringShizuoka UniversityHamamatsuJapan
  5. 5.Faculty of EducationShizuoka UniversitySuruga-kuJapan
  6. 6.Department of Mechanical EngineeringOsaka Prefecture UniversitySakaiJapan

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