对不可压黏弹材料非线性本构关系的探讨

THE NONLINEAR CONSTITUTIVE RELATION OF INCOMPRESSIBLE VISCOELASTIC MATERIALS

运用张量分析,证明了适合描述不可压缩黏弹性材料非线性本构关系的3种理论：BKZ理论、Lianis理论和Chirstensen理论,运用到各向同性材料中它们的单轴拉伸具有一样的表现形式,同时也验证了3种理论在解释非线性本构关系时具有统一性．

By using the tensor analysis, the paper proves that the three theories for describing the nonlinear constitutive relation of incompressible viscoelastical materials, including BKZ theory, Lianis theory and Chirstensen theory, have a same representation when they are used for the uniaxial tension of isotropic materials. And we also show that the three theories amount the same in explaining the nonlinear constitutive relation.