获得不可压缩条件下自然对数表示的各向同性超弹性胶原材料的本构关系，给出2组对数应变张量不变量，由弹性能量密度直接推导得到对数应变与Cauchy应力偏量间的本构关系.将理论模型与单向拉伸实验数据进行对比，结果表明模型及参数选择有效.

We have obtained natural characterization of incompressibility constraint, leading to stressstrain relations for isotropic, incompressible hyperelastic collagen materials using the logarithmic strain tensor measure. We have also obtained two sets of suitablydefined invariants of the logarithmic strain tensor. Constitutive equations for logarithmic strain and Cauchy stress are derived directly from the elastic energy density. Comparisons between the model and experimental data in uniaxial tension indicate efficiency of the constitutive model and dependence of material parameters.