Morphology of residually stressed tubular tissues: Beyond the elastic multiplicative decomposition
Morphology of residually stressed tubular tissues: Beyond the elastic multiplicative decomposition
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DOI：
10.1016/j.jmps.2016.02.020
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发表时间：
2016-05-01
影响因子：
5.3
通讯作者：
Taffetani, M.
中科院分区：
文献类型：
--
作者：
Ciarletta, P.;Destrade, M.;Taffetani, M.
生物界中出现的许多有趣的形状都是由机械不稳定性的开始形成的。在这项工作中，我们考虑如何建立的残余应力可以导致固体屈曲。在以往的研究中，计算残余应力都需要一个假想的（虚拟的）无应力状态。与此相反，我们使用的模型是简单的，并允许处方的任何残余应力field.We专门分析的弹性管受到二维残余应力，并发现，增量皱纹可以出现在其内部或其外面，取决于位置的残余环向应力的最高值。我们进一步验证了增量理论的预测与有限元模拟，这使我们能够超越这个阈值，并预测产生的折痕的形状，数量和幅度。(C)2016爱思唯尔有限公司版权所有。
Many interesting shapes appearing in the biological world are formed by the onset of mechanical instability. In this work we consider how the build-up of residual stress can cause a solid to buckle. In all past studies a fictitious (virtual) stress-free state was required to calculate the residual stress. In contrast, we use a model which is simple and allows the prescription of any residual stress field.We specialize the analysis to an elastic tube subject to a two-dimensional residual stress, and find that incremental wrinkles can appear on its inner or its outer face, depending on the location of the highest value of the residual hoop stress. We further validate the predictions of the incremental theory with finite element simulations, which allow us to go beyond this threshold and predict the shape, number and amplitude of the resulting creases. (C) 2016 Elsevier Ltd. All rights reserved.