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4. Explain why osteonal bone is transversely isotropic. Give the elastic moduli in all 3 directions...

4. Explain why osteonal bone is transversely isotropic. Give the elastic moduli in all 3 directions as part of your explanation.

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An osteon is a cylindrical structure with a diameter of ∼200 μm, aligned along the shaft of the long bones . It consists of a central haversian channel, circumferentially surrounded by an assembly of several layers of bone lamellae. The single bone lamella is again composed of layers of collagen fibrils which are rotated according to a certain fibril orientation pattern, giving rise to a plywood like structure . These fibrils are reinforced by bone mineral crystals whose -axis is aligned along the fibril axis

This striking fibril organization in bone lamellae is supposed to dictate the degree of anisotropy of osteons . Predominantely longitudinally aligned fibrils lead to osteons that are strong in tension and mainly transverse fibrils to good compression capabilities . Oblique fibril angles could result in a main stiffness alignment that possesses a helical winding around the osteon cylinder, inducing a spring-like deformation mechanism under axial load.

E longitudinal = 27.6 Gpa

E transverse = 20.5 Gpa

E 3rd axis = 21.8 GPa

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