A multi-scale Dynamic approach for nano-robotic applications

Although, for problems with different dimensional fields (from macro to nano, and smaller), the use of solution methods based on continuum mechanics seems essential, however, these approaches don´t provide the correct physics in atomic scales. Moreover, to achieve the required precision when micro dimensions are involved, methods based on quantum mechanics should be employed. The present report offers an approach through which the continuum and the discrete environments are coupled together. For a complete model of the macro section, a nine-noded Lagrange element has been developed, and for small dimensions, the Sutton-Chen potential (for problems of mechanics) has been used. In the presented model, some challenges in the nanomanipulation process are described and some notes have been offered to display the practicality, simplicity, and the effectiveness of this method. Existence of step and hole are considered exactly and using a feedback approach, the nanoparticle enforced to be crashed. Referring to these analyses, present simulations are completely applicable to the experimental results.