Abstract
Taking advangage of a semi-analytical finite element, we apply it to the Stochastic FEM in order to show its applicability of sensitivity analyses of micro-structures of composites. As an example, a rock slope reinforced by rock bolts is modeled by a composite material, and interaction of resisting stresses and densities of rock bolts is examined by the present mothod. One kind of optimization based on the results is tried to determine a suitable densities of rock bolts. The similar optimization is demonstrated for a beam of fiber-reinforced concrete to show another possibility of the present method in designing structures of composite materials.