Metal matrix composite made from 6061 aluminum alloy matrix reinforced with titanium carbide particles was fabricated by stir casting. Titanium carbide particles were incorporated with varying proportions of 2, 4 and 6 percent weight fractions. Stirring was done to achieve uniform distribution of reinforcement and castings were made by pouring the mixture into graphite moulds. The composite was then studied with respect to its mechanical properties and microstructure. Tensile, compressive, impact and hardness specimens were machined to establish the mechanical properties of the composite. Comparative study for all the said composites is done with respect to yield strength, tensile strength, hardness, impact strength and compressive strength.

It is proved that the minimal Dirichlet eigenvalue of the Laplacian in an annulus is a monotonically decreasing function of the displacement of the center of the smaller disc. The maximal value of the minimal eigenvalue is attained when the annulus is formed by two concentric discs.