超弹性材料宏观本构模型及其拟合
Macroscopic constitutive models and fitting for hyperelastic materials
摘要
超弹性材料具有优异的力学性能，在工程中得到了广泛应用。为了精确计算超弹性材料的大变形响应，本研究综述了8种常用的超弹性宏观本构模型并给出了拟合方法。推导了单轴拉伸试验、等双轴拉伸试验、纯剪试验和体积压缩试验下的Mooney-Rivlin、Neo-Hookean、Yeoh、Ogden、Arruda-Boyce、Van der Waals和HyperFoam超弹性模型的应力-应变关系，分别应用线性最小二乘方法和Levenberg-Marquard方法对线性和非线性本构模型进行拟合。与单轴拉伸下的试验数据进行对比，验证了本构模型和拟合方法的有效性。
Abstract
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.关键词
超弹性/宏观本构模型/试验数据拟合引用本文复制引用
白建涛.超弹性材料宏观本构模型及其拟合[EB/OL].(2025-06-20)[2026-04-04].https://chinaxiv.org/abs/202506.00176.学科分类
材料科学/力学
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