A composite material is to be made of alternating sheets of polyethylene (core matrix) and aluminum...

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A composite material is to be made of alternating sheets of polyethylene (core matrix) and aluminum (reinforcement). The individual materials (polyethylene and aluminum) have elastic moduli of 1 and 70 GPa, respectively. We aim to achieve an elastic modulus E, of 30 GPa for the composite material along the sheets. (a) What should be the volume fraction of aluminum reinforcement needed to achieve the desired E? (b) How is the volume fraction related to the thickness of the layers (specifically, the Lim/Ly ratio)? (c) What would be the elastic modulus E, of the composite material in the transverse direction (perpendicular to the sheets)? ALL -m Y Ey Reinforcement A composite material is to be made of alternating sheets of polyethylene (core matrix) and aluminum (reinforcement). The individual materials (polyethylene and aluminum) have elastic moduli of 1 and 70 GPa, respectively. We aim to achieve an elastic modulus E, of 30 GPa for the composite material along the sheets. (a) What should be the volume fraction of aluminum reinforcement needed to achieve the desired E? (b) How is the volume fraction related to the thickness of the layers (specifically, the Lim/Ly ratio)? (c) What would be the elastic modulus E, of the composite material in the transverse direction (perpendicular to the sheets)? ALL -m Y Ey Reinforcement

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