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应变能密度函数的超弹性体本构模型有各种形式,既有以右Cauchy-Green张量不变量,又有以主伸长为基础,均假设材料为各向同性。对于像传动V带由纤维增强构成的超弹性材料,大多具有横向各向同性特征,则应变能量函数有5个基本不变量,除3个通用基本不变量外,还附加第4和第5不变量。本文提出了一个纤维增强材料超弹性体多项式应变能函数本构模型并确定了其材料常数。
Hyperelastic constitutive models for strain energy density functions are available in various forms, both assuming the right Cauchy-Green tensor invariants and the principal elongation, assuming the material is isotropic. For hyperelastic materials like V-belts with fiber reinforcement, which are mostly transversely isotropic, then the strain energy function has five basic invariants, with the addition of the fourth and fifth non-invariants in addition to the three general invariants variable. In this paper, we propose a constitutive model for the strain energy function of the super-elastic body of a fiber-reinforced superelastic and determine its material constants.