Ph.D. in Solid and Structural Mechanics

Thin inclusion reinforcement (stiffener)

The presence of a second phase in a matrix material leads to inhomogeneity in the mechanical fields.
The theoretical solution of a zero-thickness, infinitely rigid line inclusion embedded in an elastic material has the following features:
  • Similarly to a fracture, a square-root singularity in the stress/strain fields is present at the tip of the inclusion;

  • In a homogeneous matrix subject to uniform stress at infinity, such singularity only arises when a normal stress acts parallel or orthogonal to the inclusion line, while a stiffener parallel to a simple shear does not disturb the ambient field.
We have confirmed these characteristics through photoelastic transmission experiments.

We have also shown the possibility of the emergence of shear bands at the tip of the stiffener.

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