A hyperelastic-bilinear potential for lattice model with fracture energy conservation

• A hyperelastic-bilinear potential is proposed for lattice model.
• The lattice model can preserve the fracture energy with this potential.
• The lattice model can capture the hyperelastic behaviors of material at crack tip.
• The dynamic fracture can be simulated more accurately.

A hyperelastic-bilinear potential (HBP) is proposed for lattice model to preserve the fracture energy in fracture simulation. This potential inherits the essence of hyperelastic interatomic potential in that it can capture the hyperelastic behaviors of material at the crack tip which plays a critically important role in dynamic fracture. Moreover, the potential retains the essence of the bilinear cohesive law in that it can preserve the fracture energy by setting a limit on the bond strain. With this HBP, the lattice size sensitivity is eliminated to a great extent and the dynamic fracture can be more accurately simulated.