Classic Topics in Three-Dimensional Elasticity

  • Jean Salençon


The aim in this chapter is to present several classic problems in the study of linearised isothermal elastic equilibrium for homogeneous, isotropic materials. The initial state of the system under zero loading, taken as the reference state, is always assumed to be natural. The following points will be emphasised:
  • statement of the problem (in particular, boundary conditions),

  • form of the solution,

  • remarks (e.g., other formulations of the problem),

  • practical applications (e.g., yield point of the system).

Key Words

Tension-compression Circular bending Normal bending Off-axis bending Combined bending Bending moment Neutral axis Mean fibre Curvature Saint Venant problem 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • Jean Salençon
    • 1
  1. 1.Laboratoire de Mécanique des SolidesÉcole PolytechniquePalaiseau CedexFrance

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