Ceramic foams often have hollow cell walls as a result of the replication process used to make them

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Ceramic foams often have hollow cell walls as a result of the replication process used to make them. Derive an expression for the fracture toughness of an open-cell ceramic foam with hollow cell walls of circular cross section (thin-walled), in terms of the modulus of rupture of the cell wall, σfs , the relative density ρ∗/ρs , the cell size, l , and the ratio of the radius to wall thickness, r/t , and a constant C . Assume that the modulus of rupture of the cell wall material is constant. Please note: Due to limitations of the computer grader, you will need to enter ρ∗ as "rho".

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