Stress-strain relations for compressible and incompressible elastic solids under finite and small deformations are formulated in this section. Although elastic solid is the simplest type of a deformable solid, stress-strain relations and solutions of the problems for more complex types of solids are substantially based on the results for the elastic solids. For this reason elasticity theory occupies a significant place in solid mechanics.


Strain Tensor Elastic Solid Incompressibility Condition Elastic Potential Undeformed State 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1999

Authors and Affiliations

  • A. N. Guz
    • 1
  1. 1.Institute of MechanicsNational Academy of Sciences of UkraineKievUkraine

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