The linearized theory of elasticity has been the subject of several treatises. For a detailed treatment we refer to the book by Sokolnikoff [1.5]. The basic equations are, however, briefly summarized in Sections 2.1–2.3 for the purpose of reference. As a preliminary to the definition of the effective modulus theory some exact solutions for homogeneous elastic bodies of arbitrary shape are given in Section 2.4.


Stress Tensor Strain Energy Density Surface Traction Strain Deviator Homogeneous Body 
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Copyright information

© Springer-Verlag Wien 1975

Authors and Affiliations

  • J. D. Achenbach
    • 1
  1. 1.Northwestern UniversityEvanstonUSA

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