Advertisement

Mechanics Preliminaries

  • Y.-L. Shen
Chapter

Abstract

Mechanics is the “language” used for describing the mechanical behavior of materials. An understanding of basic constitutive models, such as elasticity and plasticity, is essential for undertaking deformation analyses. In this chapter the fundamental ­concepts and field equations are reviewed. The contents are limited to topics that are within the scope of this book and are intentionally terse. Readers who seek detailed information on solid mechanics may consult specialized textbooks (e.g., [1–7]). Other relatively brief overviews may also be found in the chapters of Refs. [8–10]. Issues concerning implementation of numerical modeling will also be addressed toward the end of the chapter.

Keywords

Maximum Principal Stress Uniaxial Loading Effective Plastic Strain Constitutive Material Model Kinematic Hardening Model 
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.

References

  1. 1.
    G. T. Mase and G. E. Mase (1999) Continuum mechanics for engineers, 2nd ed., CRC Press, Boca Raton, Florida.MATHCrossRefGoogle Scholar
  2. 2.
    L. E. Malvern (1969) Introduction to the mechanics of a continuous medium, Prentice-Hall, Englewood Cliffs, New Jersey.Google Scholar
  3. 3.
    Y. C. Fung (1965) Foundations of solid mechanics, Prentice-Hall, Englewood Cliffs, New Jersey.Google Scholar
  4. 4.
    B. A. Boley and J. H. Weiner (1997) Theory of thermal stresses, Dover Publications, Mineola, New York.MATHGoogle Scholar
  5. 5.
    S. P. Timoshenko and J. N. Goodier (1970) Theory of elasticity, McGraw-Hill, New York.MATHGoogle Scholar
  6. 6.
    A. Mendelson (1968) Plasticity: theory and application, MacMillan, New York.Google Scholar
  7. 7.
    R. Hill (1950) The mathematical theory of plasticity, Oxford University Press, Oxford.MATHGoogle Scholar
  8. 8.
    M. F. Kanninen and C. H. Popelar (1985) Advanced fracture mechanics, Oxford University Press, New York.MATHGoogle Scholar
  9. 9.
    J. Roesler, H. Harders and M. Baeker (2007) Mechanical behavior of engineering materials, Springer, New York.Google Scholar
  10. 10.
    W. Soboyejo (2003) Mechanical properties of engineered materials, Marcel Dekker, New York.Google Scholar
  11. 11.
    W. Ramberg and W. R. Osgood (1943) “Description of stress–strain curves by three parameters,” Technical Note No. 902, National Advisory Committee for Aeronautics, Washington D.C.Google Scholar
  12. 12.
    S. Suresh (1998) Fatigue of materials, 2nd ed., Cambridge University Press, Cambridge.CrossRefGoogle Scholar
  13. 13.
    T. J. Chung (2007) General continuum mechanics, Cambridge University Press, Cambridge.MATHGoogle Scholar
  14. 14.
    H. J. Frost and M. F. Ashby (1982) Deformation mechanism maps, Pergamon Press, Oxford.Google Scholar
  15. 15.
    S. Timoshenko (1925) “Analysis of bi-metal thermostats,” Journal of Optical Society of America, vol. 11, pp. 233–255.CrossRefGoogle Scholar
  16. 16.
    C. T. Lin (1996) “Thermally induced deformation of multi-layered materials: analytical and engineering formulations,” Master Thesis, Massachusetts Institute of Technology, Cambridge.Google Scholar
  17. 17.
    L. B. Freund and S. Suresh (2003) Thin film materials – Stress, defect formation and surface evolution, Cambridge University Press, Cambridge.Google Scholar
  18. 18.
    J. Fish and T. Belytschko (2007) A first course in finite elements, Wiley, New York.MATHCrossRefGoogle Scholar
  19. 19.
    O. C. Zienkiewicz, R. L. Taylor and J. Z. Zhu (2005) The finite element method: its basis and fundamentals, 6th ed., Elsevier Butterworth-Heinemann, Oxford.MATHGoogle Scholar
  20. 20.
    J. N. Reddy (1993) An introduction to the finite element method, 2nd ed., McGraw-Hill, New York.Google Scholar
  21. 21.
    J. F. Nye (1972) Physical properties of crystals – Their representation by tensors and matrices, Oxford University Press, London.Google Scholar
  22. 22.
    W. A. Backofen (1972) Deformation processing, Addison-Wesley, Reading, Massachusetts.Google Scholar

Copyright information

© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  • Y.-L. Shen
    • 1
  1. 1.Dept. Mechanical EngineeringUniversity of New MexicoAlbuquerqueUSA

Personalised recommendations