Aggregate modulus

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In relation to biomechanics, the aggregate modulus (Ha) is a measurement of the stiffness of a material at equilibrium when fluid has ceased flowing through it. The aggregate modulus can be calculated from Young's modulus (E) and the Poisson ratio (v).



Ha=E(1-v)/[(1+v)(1-2v)]


The aggregate modulus of a similar specimen is determined from a unidirectional deformational testing configuration, i.e., the only non-zero strain component is E11, as opposed to the Young's modulus, which is determined from a unidirectional loading testing configuration, i.e., the only non-zero stress component is, say, in the e1 direction. In this test, the only non-zero component of the stress tensor is T11.


Reference: Biomechanics of Cartilage by Mansour