论文标题
最初残留应力对分层主动脉的生长和模式创造的影响
Influence of initial residual stress on growth and pattern creation for a layered aorta
论文作者
论文摘要
在大多数生物学和人造材料中,残留应力无处不在,必不可少,它可以维持和优化许多生物学和功能机制。从无应力的初始状态开始的体积增长理论被广泛用于解释生长引起的残留应力和所得形状变化的创造和演变,并模拟了诸如动脉和实体瘤等生物组织的增长如何根据几何和材料参数制定模式创造的策略。该建模为设计和指导给定组织或器官的某些适当形态提供了有希望的途径,并实现了一些有针对性的生物医学功能。在本文中,我们依靠一种经过修改的增强理论来揭示如何通过从现有的非零初始残留应力状态开始,从而揭示了如何获得分层动脉的残余应力和模式演变。我们使用实验确定的衰老双层人主动脉的残留应力分布,并通过幅度因子量化其影响。我们的结果表明,与几何和材料参数相比,初始残留应力对残余应力积累和随后的模式演变具有更大的影响。此外,我们为生长诱导的模式提供了一个基本的解释,该模式由差异增长造成与初始残留应力相结合。最后,我们表明初始残留应力是控制组织生长诱导的模式创建的一种容易获得的方法,因此可能为生物医学工程提供了有希望的灵感。
Residual stress is ubiquitous and indispensable in most biological and artificial materials, where it sustains and optimizes many biological and functional mechanisms. The theory of volume growth, starting from a stress-free initial state, is widely used to explain the creation and evolution of growth-induced residual stress and the resulting changes in shape, and to model how growing bio-tissues such as arteries and solid tumors develop a strategy of pattern creation according to geometrical and material parameters. This modelling provides promising avenues for designing and directing some appropriate morphology of a given tissue or organ and achieve some targeted biomedical function. In this paper, we rely on a modified, augmented theory to reveal how we can obtain growth-induced residual stress and pattern evolution of a layered artery by starting from an existing, non-zero initial residual stress state. We use experimentally determined residual stress distributions of aged bi-layered human aortas and quantify their influence by a magnitude factor. Our results show that initial residual stress has a more significant impact on residual stress accumulation and the subsequent evolution of patterns than geometry and material parameters. Additionally, we provide an essential explanation for growth-induced patterns driven by differential growth coupled to an initial residual stress. Finally, we show that initial residual stress is a readily available way to control growth-induced pattern creation for tissues and thus may provide a promising inspiration for biomedical engineering.