The elastic behavior of simple composites such as large particle-reinforced metal matrix composites (MMCs) can often be

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The Elastic Behavior Of Simple Composites Such As Large Particle Reinforced Metal Matrix Composites Mmcs Can Often Be 1 (559.02 KiB) Viewed 18 times

The elastic behavior of simple composites such as large particle-reinforced metal matrix composites (MMCs) can often be predicted using different types of rule of mixtures models. Determine the following for a particle-reinforced composite with the following constituents: Matrix=Copper, Elastic modulus of matrix=Em=120 GPa, Volume fraction of matrix=Vm=0.40=40%, Specific gravity=SG=8.9 Particle=Tungsten, Elastic modulus of particle=Ep=350 GPa, Volume fraction of particles=Vp=0.60 =60%, Specific gravity=SG=19.3 Porosity=nothing, Elastic modulus of pores=Ex=0x103 GPa, Volume fraction of poręs=V.=0=0% 55 350 50 45 300 250 Upper bound 10 25 Modulus of elasticity GPa) Modulus of elasticity (0 psi) 38 200 30 Lower bound 25 150 20 60 15 100 40 Tungsten concentration vol36) Figure 1 Rule of mixture for particle composite Figure 2 Large-particle-reinforced composite a) Determine the upper bound of the elastic modulus of the composite using the rule of mixtures equation, Ec= V. Em + VE b) Comment on which constituent (particle or matrix) dominates the elastic modulus of the composite (in other words is the elastic modulus of the composite closer to that of the matrix or the particle?). 1 C) Determine the elastic modulus of the composite using the lower bound using the relation Vme EC Em Ep d) Comment on which constituent (particle or matrix) dominates the elastic modulus of the composite (in other words is the elastic modulus of the composite closer to that of the matrix or the particles?). e) Compare the predictions of elastic modulus to the actual measurements shown in Fig 1. Calculate the differences between actual and upper bound prediction as well as actual and lower bound prediction. What would account for differences and what would you do to address these?