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Soviet Applied Mechanics

, Volume 16, Issue 9, pp 805–817 | Cite as

Complex potentials of the planar linearized problem of elasticity theory

  • A. N. Guz'
Article

Conclusions

  1. 1.

    The introduced representations of stresses and of displacements in terms of complex potentials for the planar problem of elasticity theory for compressible and incompressible bodies with uniform initial stresses transform to the well-known Kolosov-Muskhelishvili representations for equal roots of the basic equations in the case of absence of initial stresses.

     
  2. 2.

    Including the complex potentials introduced and the Cauchy-type integrals, a solution was obtained in closed form of the first and second basic problems for a semiplane with initial stresses, in agreement with [11].

     
  3. 3.

    Using the Keldysh-Sedov equations, a solution was obtained of contact problems for a semiplane with initial stresses.

     
  4. 4.

    The numerical examples provided indicate the important effect of initial stresses for large (finite) initial deformations.

     

Keywords

Closed Form Basic Equation Planar Problem Contact Problem Elasticity Theory 
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.

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Copyright information

© Plenum Publishing Corporation 1981

Authors and Affiliations

  • A. N. Guz'

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