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Geometric Nonlinearity and Stability Problems in Mechanics of Deformable Solids

  • Vitaly Paimushin,
  • Andris K. Chate,
  • Sergey Kholmogorov,
  • Maksim Makarov,
  • Ruslan Gazizullin

摘要

Three-dimensional equations of elasticity theory composed for the case of finite displacements and deformations of solids have been analyzed. It is found that the generally accepted simplifications known in the literature and carried out for the case of small deformations result in equations that are considered to be absolutely correct and consistent in all scientific and educational literature on mechanics of deformable solid bodies.