The origin of brittle fracture of polycrystalline metals failing by cl
eavage is most frequently associated to slip-induced cracking of some
non-metallic brittle particle or inclusion (a carbide in ferritic stee
ls). When the size of the particles is smaller than the grain size of
the metallic matrix, the nucleating event of a macroscopic failure res
ults from the successive occurrence of three simple events: slip-induc
ed cleavage of a particle, transmission of the microcrack to the neigh
bouring grain across the particle/matrix interface and propagation of
the grain-size microcrack to the neighbouring grains across the grain
boundary. On the basis of this scheme, a statistical ''weakest link''
fracture model has been developed which takes into account the presenc
e of two independent distributions of structural elements (isolated pa
rticles and matrix grains) with two barriers for cleavage propagation
(the particle/matrix interfaces and the grain boundaries), characteriz
ed by a crack arrest capability well over the crack propagation resist
ance of the cleavage planes of the crystalline lattices of the two pha
ses. An application of the model to the prediction of the fracture str
ess and the critical stress intensity factor as a function of the temp
erature of a bainitic steel is presented.