Signorini Problem - Formal Statement of The Problem - The Form of The Stress Tensor in The Formulation of Signorini and Fichera

The Form of The Stress Tensor in The Formulation of Signorini and Fichera

The form assumed by Signorini and Fichera for the elastic potential energy is the following one (as in the previous developments, the Einstein notation is adopted)

where

  • is the elasticity tensor
  • is the infinitesimal strain tensor

The Cauchy stress tensor has therefore the following form

(5)

and it is linear with respect to the components of the infinitesimal strain tensor; however, it is not homogeneous nor isotropic.

Read more about this topic:  Signorini Problem, Formal Statement of The Problem

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