Abstract
Abstract We present a model for brittle—ductile behaviour of materials containing interfaces based on the idea that the criteria for fracture can be couched as a balance between elastic driving forces and lattice resistance terms. This approach leads to a simple block construction for the lattice resistance term for blunting dislocation emission, which can be generalized to apply to first-principles quantum-mechanical bonding calculations for the crack. We have tested the model with a generic two-dimensional hexagonal lattice with universal binding energy relation (UBER) pair force laws and shown that the model gives quantitative results. The only exception is when the bonding relations at the crack tip lead to significant lattice trapping, for which the material is more ductile than predicted. With the generic system (which should be useful in a qualitative way for more realistic materials), we find that firstly the cross-over between ductile and brittle behaviour is determined by the local bonding at th...
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