Influence of initial residual stress on growth and pattern creation for a layered aorta

Du, Y. , Lü, C., Destrade, M. and Chen, W. (2019) Influence of initial residual stress on growth and pattern creation for a layered aorta. Scientific Reports, 9, 8232. (doi: 10.1038/s41598-019-44694-2) (PMID:31160629) (PMCID:PMC6547760)

Abstract

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.

• Item Type: Articles
• Additional Information: The authors gratefully acknowledge the support from the National Natural Science Foundation of China through grants No. 11621062 and No. 11772295, as well as from the China Scholarship Council. MD thanks Zhejiang University for support during visits to Hangzhou, and Annette Harte (Galway) for access to Irish Ash trees. WQ also acknowledges the support from the Shenzhen Science, Technology and Innovation Commission for R & D (No. JCYJ20170816172316775).
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Du, Dr Yangkun
• Authors: Du, Y., Lü, C., Destrade, M., and Chen, W.
• College/School: College of Science and Engineering > School of Mathematics and Statistics > Mathematics
• Journal Name: Scientific Reports
• Publisher: Nature Research
• ISSN: 2045-2322
• ISSN (Online): 2045-2322
• Copyright Holders: Copyright © 2019 The Authors
• First Published: First published in Scientific Reports 9: 8232
• Publisher Policy: Reproduced under a Creative Commons License