论文标题
绅士型号的球形气球通货膨胀
Gent models for the inflation of spherical balloons
论文作者
论文摘要
我们重新审视非线性弹性的标志性变形：橡胶球形薄壳的通胀。我们使用3参数Mooney和Gent-Gent（GG）现象学模型来解释典型通货膨胀的拉伸曲线曲线，因为这两个模型涵盖了橡胶的广泛模型，包括Varga，Mooney-Rivlin，Mooney-Rivlin，On-Term Ogden，On-Term Ogden，Gent-Thomas和Gent-Thomas和Gent模型。我们发现，通货膨胀的基本物理学不包括Varga，Ogden和Gent-Thomas模型。我们发现非线性弹性的精确解决方案与膜和年轻宽段理论之间经常在文献中使用先验。我们比较了这两种模型在拟合数据的橡胶气球和动物膀胱上的实验的性能。我们得出的结论是，GG模型是提供橡胶气球通货膨胀的最准确和通用的模型。
We revisit an iconic deformation of non-linear elasticity: the inflation of a rubber spherical thin shell. We use the 3-parameter Mooney and Gent-Gent (GG) phenomenological models to explain the stretch-strain curve of a typical inflation, as these two models cover a wide spectrum of known models for rubber, including the Varga, Mooney-Rivlin, one-term Ogden, Gent-Thomas and Gent models. We find that the basic physics of inflation exclude the Varga, one-term Ogden and Gent-Thomas models. We find the link between the exact solution of non-linear elasticity and the membrane and Young-Laplace theories often used a priori in the literature. We compare the performance of both models on fitting the data for experiments on rubber balloons and animal bladder. We conclude that the GG model is the most accurate and versatile model on offer for the modelling of rubber balloon inflation.
