According to the strain energy density function for finite deformation of viscoelastic material, to the relaxation function of Maxwell mode and to the deformation gradient tensor of bubble, a stress equation for finite deformation of protein bubble is derived.

A strain energy function, being split into isochoric and volumetric parts, was proposed for porous silicone rubber with relatively high porosity at finite deformation under compression.

Using vascular strain energy function advanced by Fung,the vascular stress_strain relationship under equilibrium state was analyzed and the circumferential and axial elastic moduli were deduced that are expressed while the arterial strains around the equilibrium state are relatively small, so that the equations of vessel wall motion under the pulsatile.

This paper,on the bases of the predecessor work,with the help of the strain energy function,the three-dimension expression on the artery constitutive equation is derived (seven coefficients),In addition,.

A new simplified ductile spall model is presented using the redefined damage and the strength function given by Cochran-Banner.

The strength function given by Cochran-Banner was maintained using the redefined damage,and the correction concerning the volume of the mesh cells was realized considering it unnecessary to expect that it is much easier to open microcracks once they are formed than to strain the solid further.