Discontinuous deformation analysis based on strain-rotation decomposition

Discontinuous deformation analysis based on strain-rotation decomposition
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基于应变-旋转分解的不连续变形分析

DOI:
10.1016/j.ijrmms.2016.12.003
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发表时间:
2017-02
影响因子:
7.2
通讯作者:
Zhao Jidong
Zhao Jidong
中科院分区:
工程技术1区
文献类型:
--
作者:
Fan Huo;Zheng Hong;Zhao Jidong

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S-R分解定理具有同时捕获应变分量和旋转分量的能力。利用虚功率原理,本文提出了一种新的不依赖于具体数值方法的动态大变形或小变形分析公式。然后,该公式被应用到非连续变形分析(DDA),产生一个新的DDA的基础上的S-R分解定理,简称为SRDDAvp。与传统的DDA方法相比,SRDDAvp采用了一种改进的基本变量和广义-α方法。典型算例的分析表明,SRDDAvp能很好地克服体积膨胀问题,有效地提高计算精度,使DDA具有处理大变形的潜力。
The S-R (strain-rotation) decomposition theorem has an ability to capture strain components and rotation components at the same time. Using the principle of virtual power (VP), in this study, a new formulation independent of specific numerical methods is proposed for the analysis of dynamic large or small deformation. Then, the formulation is applied to the discontinuous deformation analysis (DDA), yielding a new DDA based on the S-R decomposition theorem, abbreviated as SRDDAvp. Compared with the conventional DDA, SRDDAvpadopts a slightly modified basic variables together with the generalized-αmethod. The analysis of some typical examples indicates that SRDDAvpcan naturally overcome the issue of volume expansion, effectively improve the calculation accuracy and, equip DDA with the potential to treat large deformation.
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