Abstract
The crack deflection in transformable particle-reinforced composites is studied in the present paper. The contribution of phase transformation on the crack tip J k -integral (k = 1, 2) is explicitly determined by the material configurational theory. For the crack deflection angle from its original crack path induced by the phase transformation it can be shown that the crack initiates in the direction along which the potential energy release rate in terms of the crack tip J k -integral possesses a stationary (maximum) value. The influence of one individual particle near the crack tip on the crack deflection is studied by accounting for both dilatant and shear transformation components. Furthermore, an FEM method is developed to model the stress-induced phase transformation on the basis of a macroscopic phenomenological constitutive model where multiple particles are taken to be non-uniformly distributed in a matrix.Numerical simulations are performed to observe the crack deflection by a cluster of particles. The results show a significant non-symmetric stress distribution locally at the crack tip, causing the crack to deflect. It is found that regions in the material with a higher volume fraction of transformable particles tend to deflect the crack growth more.
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