A HYPERELASTIC NONLINEAR MODEL FOR A NEARLY INCOMPRESSIBLE PARTICULATE COMPOSITE

The non-linear hyperelastic behaviour of a particulate composite, belo w its yield point, in quasi-static loading, is described. A finite-str ain Lagrangian model is proposed. The existence of a thermodynamic pot ential is assumed. The observable state variable being the total defor mation, the optimum clastic strain measure is sought, in order to desc ribe in the best possible fashion the coupling between distortion and volume changes, provided the great disproportion between shear and bul k moduli.