Elements of solid mechanics

  • Dietmar GrossEmail author
  • Thomas Seelig
Part of the Mechanical Engineering Series book series (MES)


This chapter summarizes basic concepts and equations of solid mechanics. It is selfevident that this outline cannot be complete but is limited to a necessary minimum. For more detailed descriptions the reader is referred to the literature, and selected textbooks are listed at the end of the chapter (Section 1.6). The reader with some knowledge of elasticity and plasticity may skip this part and jump directly to the next chapter.


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  1. Bertram, A. and Glüge, R. Solid Mechanics. Springer Int. Publ., 2015Google Scholar
  2. Betten, J. Creep Mechanics. Springer, Berlin (2008)Google Scholar
  3. Chakrabarty, J. Theory of Plasticity. Butterworth-Heinemann, New York (2006)Google Scholar
  4. Christensen, R.M. Theory of Viscoelasticity. Academic Press, New York (1982)Google Scholar
  5. Doghri, I. Mechanics of Deformable Solids. Springer, Berlin (2000)Google Scholar
  6. Fung, Y.C. Foundations of Solid Mechanics. Prentice-Hall, Englewood Cliffs (1965)Google Scholar
  7. Gould, P.L. Introduction to Linear Elasticity. Springer, New York (1993)Google Scholar
  8. Hill, R. The Mathematical Theory of Plasticity. Oxford University Press, Oxford (1998)Google Scholar
  9. Kachanov, L.M. Fundamentals of Theory of Plasticity. North-Holland, 1971Google Scholar
  10. Khan, A.S. and Huang, S. Continuum Theory of Plasticity. John Wiley & Sons, New York (1995)Google Scholar
  11. Lekhnitzkii, S.G., Anisotropic Plates, (Translation of 2nd russ. edition), Gordon and Breach, New York, 1968Google Scholar
  12. Lemaitre, J. and Chaboche, J.-L. Mechanics of Solid Materials. Cambridge University Press, Cambridge (2000)Google Scholar
  13. Lubliner, J. Plasticity Theory. Macmillan Publ. Comp., New York (1998)Google Scholar
  14. Maugin, G.A. The Thermomechanics of Plasticity and Fracture. Cambridge University Press, Cambridge (1992)Google Scholar
  15. Muskhelisvili, N.I. Some Basic Problems of the Mathematical Theory of Elasticity. Noordhoff, Leyden (2010)Google Scholar
  16. Nadai, A. Theory of Flow and Fracture of Solids, Vol. 1 & 2. McGraw-Hill, New York (1963)Google Scholar
  17. Rabotnov, Y.N. Creep Problems in Structural Members. North Holland, Amsterdam (1969)Google Scholar
  18. Sokolnikoff, I.S. The Mathematical Theory of Elasticity. McGraw-Hill, New York (1956)Google Scholar

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© Springer International Publishing AG 2018

Authors and Affiliations

  1. 1.Solid MechanicsTU DarmstadtDarmstadtGermany
  2. 2.Karlsruhe University (KIT)Institute of MechanicsKarslruheGermany

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