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Numerical simulation of the hyperelastic material using new strain measure
Acta Mechanica ( IF 2.7 ) Pub Date : 2021-03-01 , DOI: 10.1007/s00707-020-02904-3
Boris Dmitrievich Annin , Konstantin Vladimirovich Bagrov

The three-dimensional model of the hyperelastic body under large strains is researched. A new strain measure, based on the QR-decomposition of the deformation gradient, is discussed. It is shown that this strain measure allows for more explicit analytical connections between different parameters of the stress–strain condition then the traditional approach. An example method of introducing this measure into numerical simulations for an arbitrary three-dimensional model with linear shape functions is presented.



中文翻译:

新应变法对超弹性材料的数值模拟

研究了大应变下超弹性体的三维模型。讨论了一种基于变形梯度的QR分解的新应变测量方法。结果表明,与传统方法相比,这种应变测量可以在应力-应变条件的不同参数之间建立更明确的分析联系。提出了一种将该方法引入具有线性形状函数的任意三维模型的数值模拟的示例方法。

更新日期:2021-03-01
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