论文标题
残留压力管组织的形态：超出弹性乘法分解
Morphology of residually-stressed tubular tissues: Beyond the elastic multiplicative decomposition
论文作者
论文摘要
生物世界中出现的许多有趣的形状是由机械不稳定性的开始形成的。在这项工作中，我们考虑了残留应力的积累如何导致固体扣紧。在过去的所有研究中，都需要虚拟（虚拟）无应力状态来计算残余应力。相比之下，我们使用一个简单的模型，并允许处方任何残余应力场。 我们将分析专门针对受二维残留应力的弹性管，并发现递增的皱纹可以在其内部或外部出现，具体取决于残留箍应力的最高值的位置。我们通过有限的元素模拟进一步验证了增量理论的预测，这使我们能够超出此阈值并预测所得折痕的形状，数量和幅度。
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.
