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General Equations of the Theory of Elasticity

  • Fedor I. Fedorov

Abstract

A body is deformed when forces are applied to it; the distances between points in the body subject to the forces are somewhat different from those between the same points in the absence of the forces . The change in distance is due to displacement of one relative to another during the deformation. Let r0 be the radius vector of some point in the body (relative to some fixed point in space) before the deformation, and let r(xi) be the same after deformation. The difference between these vectors is the displacement vector of the point and is
(1.1)
or in coordinate form
(1.2)

Keywords

Elastic Modulus Symmetry Plane Radius Vector Deformation Tensor Symmetry Element 
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

© Springer Science+Business Media New York 1968

Authors and Affiliations

  • Fedor I. Fedorov
    • 1
    • 2
  1. 1.Laboratory of Theoretical PhysicsPhysics Institute of the Academy of Sciences of the Belorussian SSRBelarus
  2. 2.Department of Theoretical PhysicsBelorussian State UniversityMinskBelarus

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