TY - JOUR

T1 - Atomic theory of fracture of crystalline materials

T2 - cleavage and dislocation emission criteria

AU - Masuda-Jindo, K.

AU - Zhou, S. J.

AU - Thomson, R.

AU - Carlsson, A. E.

PY - 1994/3/31

Y1 - 1994/3/31

N2 - Using the lattice Green function approach, we study the crack-dislocation effects in the fracture of crystalline materials. Firstly, we calculate the Green function for the defective lattice, with dislocation and crack, by solving the Dyson equation. After the lattice Green functions have been determined, the relaxation problem for the reconstituted bonds in the cohesive zone is solved. The external force F with tensile and shear components is applied, as a pair of forces, to the atoms at the center of the crack. In this calculation the dislocation emission is chosen to be on a cleavage plane as well as on a glide plane of the two-dimensional lattice (hexagonal and graphite lattices). We compare the cleavage and dislocation emission criteria of the atomistic simulation with those of linear elasticity theory.

AB - Using the lattice Green function approach, we study the crack-dislocation effects in the fracture of crystalline materials. Firstly, we calculate the Green function for the defective lattice, with dislocation and crack, by solving the Dyson equation. After the lattice Green functions have been determined, the relaxation problem for the reconstituted bonds in the cohesive zone is solved. The external force F with tensile and shear components is applied, as a pair of forces, to the atoms at the center of the crack. In this calculation the dislocation emission is chosen to be on a cleavage plane as well as on a glide plane of the two-dimensional lattice (hexagonal and graphite lattices). We compare the cleavage and dislocation emission criteria of the atomistic simulation with those of linear elasticity theory.

UR - http://www.scopus.com/inward/record.url?scp=0028392704&partnerID=8YFLogxK

U2 - 10.1016/0921-5093(94)90983-0

DO - 10.1016/0921-5093(94)90983-0

M3 - Article

AN - SCOPUS:0028392704

SN - 0921-5093

VL - 176

SP - 255

EP - 261

JO - Materials Science and Engineering A

JF - Materials Science and Engineering A

IS - 1-2

ER -