Assistant Professor of Solid and Structural Mechanics

# Shear bands

**1. Shear bands emergence from thin reinforcement tip**

Considering a lamellar (zero-thickness) rigid inclusion, so-called ‘stiffener’, embedded in a uniformly prestressed (or prestrained) subject to a homogeneous far-field deformation increment, the movie shows the emergence of shear bands from the inclusion tips at increasing values of prestress.

**2. Shear band propagation**

We have proposed a weak line inclusion model in a nonlinear elastic solid to analytically quantify and investigate, for the first time, the stress state and growth conditions of a finite-length shear band in a ductile prestressed metallic material. The deformation is shown to become highly focused and aligned coaxial to the shear band and the energy release rate to blow up to infinity, for incremental loading occurring when the prestress approaches the elliptic boundary, concluding that the propagation becomes ‘unrestrainable’.

**Related papers:**

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

Growth of slip surfaces and line inclusions along shear bands in a softening material.*International Journal of Fracture*,**166**, 225-237. - 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. - Bigoni, D. and Dal Corso, F. (2008).

The unrestrainable growth of a shear band in a prestressed material.*Proceedings of the Royal Society A*,**464**, 2365-2390. Electronic supplementary material. - 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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