Viscoplasticity using peridynamics
Viscoplasticity using peridynamics
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DOI：
10.1002/nme.2725
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发表时间：
2010-03-05
影响因子：
2.9
通讯作者：
Chen, W. W.
中科院分区：
文献类型：
--
作者：
Foster, J. T.;Silling, S. A.;Chen, W. W.
与标准理论中的偏微分方程不同，即使在变形场中出现裂纹和其他奇异性时，周向理论的基本方程也是适用的。原始周向理论中的假设导致对可以建模的材料响应类型的严格限制，包括对泊松比的限制。最近的理论发展已经显示出克服这些限制的希望，但是以前没有结合速率相关性并且没有在实际应用中得到证明。在这篇文章中，本文提出并论证了一种新的方法，用于在围产期数值模型中实现率相关塑性材料。T6铝合金在此材料模型下，周波法在很宽的冲击速度范围内精确地再现了泰勒冲击试验的实验结果。所得到的模型保留了周波公式在不连续性方面的优点，同时允许比以前可能的材料响应具有更大的通用性。John Wiley & Sons，Ltd
Peridynamics is a continuum reformulation of the standard theory of solid mechanics Unlike the partial differential equations of the standard theory, the basic equations of peridynamics are applicable even when cracks and other singularities appear in the deformation field The assumptions in the original peridynamic theory resulted in severe restrictions on the types of material response that could be modeled, including a limitation on the Poisson ratio Recent theoretical developments have shown promise for overcoming, these limitations, but have not previously incorporated rate dependence and have not been demonstrated in realistic applications In this paper, a new method for implementing a rate-dependent plastic material within a peridynamic numerical model in proposed and demonstrated The resulting material model implementation is fitted to rate-dependent test data on 6061-T6 aluminum alloy It is shown that with this material model, the peridynamic method accurately reproduces the experimental results for Taylor impact tests over a wide range of impact velocities The resulting model retains the advantages of the peridynamic formulation regarding discontinuities while allowing greater generality in material response than was previously possible Copyright (C) 2009 John Wiley & Sons, Ltd