The main goal of this thesis is to propose a new approach to address mechanics problems for materials with hierarchical multiscale structure. Specifically, the deformation of composite materials with fractal (self-similar) geometry is studied. The problem is of real interest since multi-scale fractal structures were evidenced in many engineering materials such as concrete, sandstone, aerogels, volcanic rock, and biological materials. The following barriers are being addressed:A procedure is proposed here for determining the solution of boundary value problems for a structure (composite) ... When the multiscale problem includes an infinite number of scales, neither the continuum mechanics nor the discreteanbsp;...
|Title||:||Mechanics of Materials with Hierarchical Fractal Structure|
|Publisher||:||ProQuest - 2006|