Aggregate modulus explained

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.[1] The aggregate modulus can be calculated from Young's modulus (E) and the Poisson ratio (v).[2]

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. This configuration is 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.

References

  1. Mansour, J. M. (2003). Biomechanics of cartilage. Kinesiology: the mechanics and pathomechanics of human movement, 2, 66-79.
  2. Boschetti . Federica . Pennati . Giancarlo . Gervaso . Francesca . Peretti . Giuseppe M. . Dubini . Gabriele . 2004 . Biomechanical properties of human articular cartilage under compressive loads . Biorheology . 41 . 3-4 . 159–166 . 0006-355X . 15299249.