Using molecular mechanics, we study the evolution and propagation of cracks and fractures in a three-dimensional molecular sheet of ice under stress and compression. We use an approximate 6-12 Lennard-Jones potential for a pair of ice molecules to derive dynamical equations for the ice molecules in the solid. The resulting systems of nonlinear ordinary differential equations are then used to simulate the evolution and propagation of cracks and fractures in the solid. In the computer examples, we compare dynamical responses when the solid sheet of ice has a slot or does not have a slot. The mechanisms for development of both cracks and fractures are presented and discussed. In addition, the buckling effect is seen clearly in the results.
- Molecular mechanics simulation
- Molecular model