1) To establish physically sound, mathematical models for fundamental physical problems in solid mechanics with consideration of the nano-scale influence
2) To develop analytical procedures for investigating various basic boundary value problems that are fundamental in the area of solid mechanics
3) To establish the framework of powerful numerical procedures capable of solving a broader class of boundary value problems that are relatively complex and often encountered in engineering and industrial applications
4) To fully investigate the size-dependent and nano-scale influence on various fundamental problems in solid mechanics and also compare results from continuum-based simulations with existing molecular dynamics simulations and experimental measurements
