Abstract

Using the lattice Green's function approach and LCAO (linear combination of atomic orbitals) electronic theory, we investigate the fracture behavior of the brittle materials (Si and SiO 2 ). The cracked lattice Green's functions are derived by solving the Dyson equations, and LCAO electronic theory is used to obtain the non-linear bond breaking forces taking into account the effects of impurity doping and environment effects of the external molecules. The calculated crack properties and related fracture behavior of the brittle materials are discussed in detail.

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