Constitutive Relationships

  • Ciprian D. ComanEmail author
Part of the Solid Mechanics and Its Applications book series (SMIA, volume 238)


The balance laws discussed in the previous chapter represent general principles that all deformable bodies must satisfy. They do not distinguish between fluids and solids, and are equally applicable to all bodies. It also turns out that the number of equations found so far is insufficient for determining the deformations and stresses in an arbitrary deformable body.


  1. 1.
    Gurtin ME (1981) An introduction to continuum mechanics. Academic Press, New YorkGoogle Scholar
  2. 2.
    Holzapfel GA (2000) Nonlinear solid mechanics. Wiley Ltd., ChichesterGoogle Scholar
  3. 3.
    Jaunzemis W (1967) Continuum mechanics. The McMillan Company, New YorkGoogle Scholar
  4. 4.
    Shih Liu I (2002) Continuum mechanics. Springer, BerlinCrossRefGoogle Scholar
  5. 5.
    Marsden JE, Hughes TJR (1983) Mathematical foundations of elasticity. Prentice-Hall Inc, Englewood Cliffs, New JerseyGoogle Scholar
  6. 6.
    Narasimhan MNL (1993) Principles of continuum mechanics. Wiley Inc, New YorkGoogle Scholar
  7. 7.
    Spencer AJM (1980) Continuum mechanics. Longman Ltd., Essex (UK)Google Scholar
  8. 8.
    Truesdell C (1966) The elements of continuum mechanics. Springer, BerlinCrossRefGoogle Scholar
  9. 9.
    Truesdell C (1977) A first course in rational continuum mechanics, vol 1. Academic Press, New YorkGoogle Scholar
  10. 10.
    Truesdell C, Noll W (2004) The non-linear field theories of continuum mechanics. Springer, BerlinGoogle Scholar

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© Springer Nature B.V. 2020

Authors and Affiliations

  1. 1.School of Computing and EngineeringUniversity of HuddersfieldHuddersfieldUK

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