A Fundamental Discussion on Stochastic Mechanics of Materials

Abstract

This paper describes a fundamental discussion on stochastic mechanics of material for contribution on future sustainable society. From the viewpoint of sustainability, it is very important to reduce waste of materials and to use a natural material. In this case, a material property may be difficult to be well controlled compared to a conventional material, and therefore influence of this uncertainty or random variation should be considered in a design process of a structural product. For this problem, a concept of stochastic homogenization / multiscale stochastic stress analysis may contribute for evaluation of safety factor for the design. In this presentation, outline of a concept of the stochastic mechanics of materials and application of the stochastic homogenization of composites to the framework are introduced, and effectiveness of the presented approach will be discussed.