局部应变软化组织的压缩不稳定性
Compression Instabilities of Tissues with Localized Strain Softening
摘要：
受马凡氏综合征影响的生物软组织的应力-应变关系被认为是非凸的。更具体地说，Haughton和Merodio最近提出了导致局部应变软化的应变-能量密度，以模拟这些各向同性不可压缩组织的不寻常的机械行为。在这里，我们调查这种选择的应变能如何影响一些不稳定性研究的结果，如那些关注的压缩的无限和半无限的固体，平板，和圆柱体，或与弯曲的块，并绘制与已知的结果建立以前的情况下，一个经典的新胡克固体的比较。我们发现，局部应变软化效应导致早期的不稳定性，只有当不稳定性发生在严重的压缩比的新胡克固体，是散装，表面和弯曲不稳定性的情况下。
英文摘要：
The stress-strain relationship of biological soft tissues affected by Marfan's syndrome is believed to be non-convex. More specifically, Haughton and Merodio recently proposed a strain-energy density leading to localized strain softening, in order to model the unusual mechanical behavior of these isotropic, incompressible tissues. Here we investigate how this choice of strain energy affects the results of some instabilities studies, such as those concerned with the compression of infinite and semi-infinite solids, slabs, and cylinders, or with the bending of blocks, and draw comparisons with known results established previously for the case of a classical neo-Hookean solid. We find that the localized strain softening effect leads to early instability only when instability occurs at severe compression ratios for neo-Hookean solids, as is the case for bulk, surface, and bending instabilities.
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