On the basis of theory of porous material and dry friction,and combining with the model of small curved beam,nonlinear constitutive relation of metal-rubber was constructed.

At the same time, the concrete nonlinear constitutive relation and multiaxial .

Based on the experimental data from quasistatic tension of two polymerbouded explosives (PBX) under temperature from -10 ℃ to 45 ℃ and strain rate from 10 -6 s -1 to 10 -4 s -1 ,a nonlinear constitutive relation is proposed to describe the mechanical behaviors of the said PBX under the simple tension at different temperature and strain rate.

Under Voigt model,herein we obtain an expression of nonlinearly elastic constitutive relation on(anisotropic) aggregates of cubic crystallites.

A new nonlinear viscoelastic constitutive relation baced on the three-dimensional nonlinear viscoelastic constitutive relations by Stieltjes convolution and the elastic recovery correspondence principle in the form of three-dimension constitutive relation is proposed in this paper.

In this paper, the nonlinear viscoelastic constitutive relation with damage which is based on the proposed nonlinear viscoelastic constitutive relation is obtained by means of continuum damage metho d (CDM).

The result that the nonlinear viscoelastic constitutive relation being marked by the instantaneous elastic constitutive relation can correctly describe the mechanics behaviors of nonlinear viscoelastic materials is verified by comparison between the theoretic calculated results and experime.