Multi-scale damage of material has been a concern in recent times owing to emphases of making devices in sizes smaller and smaller until the bulk average of the macroscopic material properties are no longer adequate while particle physics still lacks the expediency of engineering applications. There is the mesoscopic range between the microscopic and macroscopic size scale where the functional well being of engineering products must be addressed in terms of material damage. By in large, the only successful model developed during the early l960s and used up to now has been that of linear elasti...
