4. Explain why osteonal bone is transversely isotropic. Give the elastic moduli in all 3 directions as part of your explanation.
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
4. Explain why osteonal bone is transversely isotropic. Give the elastic moduli in all 3 directions...
(3) Elastic constants: (a) Consider a cube of isotropic material and show that the bulk modulus Eq. (3.5) is related to Young's modulus Eq. (3.1) and Poisson's ratio Eq. (3.6) by K 3(1-2v) (b) What happens when v reaches its upper limit of 0.5? (4) Elastic constants: We have stated that the numerical value of Poisson's ratio is always between +0.5 and -1, but we have proven only the upper limit. Use Eq. (3.10) to argue why -1 is the...
please help me with this short answer portion i am confused 1. Explain why a catalyst must affect the rate of a reaction in both directions. 2. Calculate the concentration of a noncompetitive inhibitor (K yield 90% inhibition of an enzyme-catalyzed reaction. 2 x 10 M) need 3. For the operator (sin0/cos8)(d/de) and the eigenfunction sine, the eigenvalue a) sine b) 1 c) -sine d) -1 e) -cose 4. Evaluate numerically . Hint: use Euler formula. Show your work clearly...
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