Peridynamic bond-associated correspondence model: Stability and convergence properties
Peridynamic bond-associated correspondence model: Stability and convergence properties
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DOI：
10.1002/nme.5973
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发表时间：
2019-02-10
影响因子：
2.9
通讯作者：
Spencer, Benjamin W.
中科院分区：
文献类型：
--
作者：
Chen, Hailong;Spencer, Benjamin W.
对应的方法是一个强大的技术，允许使用标准的本构模型从本地理论内的一个周向制定。然而，传统的对应公式遭受材料不稳定性，即零能量模式，这必须加以控制，以使其在实践中得到应用。最近引入的对应关系的重新制定的基础上使用的键相关的变形梯度可以固有地消除材料的不稳定性。在本文中，我们展示了如何键相关的对应模型满足材料稳定性的要求。收敛行为也检查。这种方法的准确性进一步证明了通过比较模型预测对本地参考解决方案和结果从传统的对应模型与惩罚稳定的二维和三维的问题。
The correspondence approach is a powerful technique that permits the usage of standard constitutive models from local theory within a peridynamic formulation. However, the conventional correspondence formulation suffers from material instability, ie, zero-energy modes, which must be controlled for it to be applied in practice. The recently-introduced correspondence reformulation based on the use of a bond-associated deformation gradient can inherently remove the material instability. In this paper, we show how the bond-associated correspondence model satisfies the requirement for material stability. The convergence behavior is also examined. The accuracy of this approach is further demonstrated by comparing model predictions against local reference solutions and results from the conventional correspondence model with penalty stabilization for both two-dimensional and three-dimensional problems.