超弹性材料宏观本构模型及其拟合

Hyperelastic materials exhibit excellent mechanical properties and thus have been widely used in engineering. To accurately calculate the large deformation response of hyperelastic materials, this paper reviews eight kinds of hyperelastic macroscopic constitutive models and the fitting methods of constitutive models. The stress-strain relations, namely, Mooney-Rivlin, Neo-Hookean, Yeoh, Ogden, Arruda-Boyce, Van der Waals and HyperFoam hyperelastic models, are derived under uniaxial tensile test, biaxial tensile test, pure shear test, and volume compression test. The linear least square method and the nonlinear Levenberg-Marquard algorithm are used to fit the linear and nonlinear constitutive models, respectively. Compared with the test data under uniaxial tension, the validity of the constitutive models and fitting methods is verified.