Volokh K Y
Faculty of Civil and Environmental Engineering, Technion - I.I.T., Haifa, Israel,
Biomech Model Mechanobiol. 2015 Oct;14(5):1071-9. doi: 10.1007/s10237-015-0655-3. Epub 2015 Jan 31.
Aneurysm formation and growth is accompanied by microstructural alterations in the arterial wall. Particularly, the loss of elastin may lead to tissue disintegration and appearance of voids or cavities at the micron scale. Unstable growth and coalescence of voids may be a predecessor and trigger for the onset of macroscopic cracks. In the present work, we analyze the instability of membrane (2D) and bulk (3D) voids under hydrostatic tension by using two experimentally calibrated constitutive models of abdominal aortic aneurysm enhanced with energy limiters. The limiters provide the saturation value for the strain energy, which indicates the maximum energy that can be stored and dissipated by an infinitesimal material volume. We find that the unstable growth of voids can start when the critical stress is considerably less than the aneurysm strength. Moreover, this critical stress may even approach the arterial wall stress in the physiological range. This finding suggests that cavitation instability can be a rational indicator of the aneurysm rupture.
动脉瘤的形成和生长伴随着动脉壁的微观结构改变。特别是,弹性蛋白的丧失可能导致组织崩解,并在微米尺度上出现空隙或空洞。空洞的不稳定生长和合并可能是宏观裂纹出现的先兆和触发因素。在本研究中,我们通过使用两个经实验校准的腹主动脉瘤本构模型,并结合能量限制器,分析了静水张力下膜状(二维)和块状(三维)空洞的不稳定性。这些限制器提供了应变能的饱和值,该值表示无限小材料体积所能存储和耗散的最大能量。我们发现,当临界应力远小于动脉瘤强度时,空洞就可能开始不稳定生长。此外,在生理范围内,这种临界应力甚至可能接近动脉壁应力。这一发现表明,空化不稳定性可能是动脉瘤破裂的合理指标。