Formulation of Problems of Elasticity

  • 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 both the basic boundary value problems of elastostatics and initial-boundary value problems of elastodynamics are recalled; in particular, the mixed boundary value problems of isothermal and nonisothermal elastostatics, as well as the pure displacement and the pure stress problems of classical elastodynamics are discussed. The Betti reciprocal theorem of elastostatics and Graffi’s reciprocal theorem of elastodynamics together with the uniqueness theorems are also presented. An emphasis is made on a pure stress initial-boundary value problem of incompatible elastodynamics in which a body possesses initially distributed defects.

Keywords

Field Equation Stress Equation Tensor Field Mixed Problem Elastic State 
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Copyright information

© Springer Science+Business Media Dordrecht 2013

Authors and Affiliations

  • 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.NaplesUSA
  3. 3.WarsawPoland
  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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