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

**Related papers:**

- Noselli, G., Dal Corso, F. and Bigoni, D. (2010).

The stress intensity near a stiffener disclosed by photoelasticity.*International Journal of Fracture*,**166**, 91-103. - Dal Corso, F. and Bigoni, D. (2009).

The interactions between shear bands and rigid lamellar inclusions in a ductile metal matrix.*Proceedings of the Royal Society A*,**465**, 143-163. - Dal Corso, F., Bigoni, D. and Gei, M. (2008).

The stress concentration near a rigid line inclusion in a prestressed, elastic material. Part I. Full field solution and asymptotics.

*Journal of the Mechanics and Physics of Solids*,**56**, 815-838. - Bigoni, D., Dal Corso, F. and Gei, M. (2008).

The stress concentration near a rigid line inclusion in a prestressed, elastic material. Part II. Implications on shear band nucleation, growth and energy release rate.

*Journal of the Mechanics and Physics of Solids*,**56**, 839-857.

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