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Kinematics

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

Abstract

Kinematics represents the branch of Mechanics that studies the motion of a mechanical body or a system of such bodies without consideration given to its mass or the forces acting on it. In this chapter, we make the first few steps towards describing the geometrical features of the mathematical model for a deformable body. In contrast to the kinematics of a rigid body, here the description will be largely local in nature because the changes undergone by a deformable body under the action of external forces differ from place to place.

Bibliography

  1. 1.
    Adams RA (1999) Calculus: a complete course. Addison-Wesley, Longman Ltd., Ontario, CanadaGoogle Scholar
  2. 2.
    Salas SL, Hille E (1995) Calculus: one and several variables. Wiley, New YorkzbMATHGoogle Scholar
  3. 3.
    Atkin RJ, Fox N (1980) An introduction to the theory of elasticity. Longman, LondonzbMATHGoogle Scholar
  4. 4.
    Chadwick P (1999) Continuum mechanics: concise theory and problems. Dover Publications Inc, Mineola, New YorkGoogle Scholar
  5. 5.
    Ciarlet PG (1993) Mathematical elasticity. North-Holland, AmsterdamGoogle Scholar
  6. 6.
    Gurtin ME (1981) An introduction to continuum mechanics. Academic Press, New YorkzbMATHGoogle Scholar
  7. 7.
    Hjelmstad KD (1997) Fundamentals of structural mechanics. Prentice-Hall Inc, Upper Saddle River, New JerseyGoogle Scholar
  8. 8.
    Gill AJ, Bonet J, Wood RD (2016) Nonlinear solid mechanics for finite element analysis: statics. Cambridge University Press, Cambridge (UK)zbMATHGoogle Scholar
  9. 9.
    Jaunzemis W (1967) Continuum Mechanics. The McMillan Company, New YorkzbMATHGoogle Scholar
  10. 10.
    Shih Liu I (2002) Continuum mechanics. Springer, BerlinzbMATHGoogle Scholar
  11. 11.
    Malvern LE (1969) Introduction to the mechanics of a continuum medium. Prentice-Hall Inc., Englewood Cliffs, New JerseyGoogle Scholar
  12. 12.
    Narasimhan MNL (1993) Principles of continuum mechanics. Wiley Inc, New YorkzbMATHGoogle Scholar
  13. 13.
    Ogden RW (1984) Non-linear elastic deformations. Ellis Horwood Ltd., ChichesterzbMATHGoogle Scholar
  14. 14.
    Spencer AJM (1980) Continuum mechanics. Longman Ltd., Essex (UK)zbMATHGoogle Scholar
  15. 15.
    Timoshenko SP, Goodier JN (1970) Theory of elasticity. McGraw-Hill Book Company, Auckland, international editionGoogle Scholar
  16. 16.
    Truesdell C (1966) The elements of continuum mechanics. Springer, BerlinzbMATHGoogle Scholar
  17. 17.
    Truesdell C (1977) A first course in rational continuum mechanics, vol 1. Academic Press, New YorkzbMATHGoogle Scholar
  18. 18.
    Truesdell C, Noll W (2004) The non-linear field theories of continuum mechanics. Springer, BerlinCrossRefGoogle Scholar
  19. 19.
    Rubin D, Lai WM, Krempl E (2010) Introduction to continuum mechanics, 4th edn. Elsevier, AmsterdamzbMATHGoogle Scholar

Copyright information

© Springer Nature B.V. 2020

Authors and Affiliations

  1. 1.School of Computing and EngineeringUniversity of HuddersfieldHuddersfieldUK

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