关键词: 生物软组织/
生长/
管腔结构/
稳定性
English Abstract
Three-dimensional morphological wrinkling of cylindrical soft tissues
Xie Wei-Hua,Yin Si-Fan,
Li Bo,
Cao Yan-Ping,
Feng Xi-Qiao
1.Department of Engineering Mechanics, Tsinghua University, Beijing 100084, China
Fund Project:Project supported by the National Natural Science Foundation of China (Grant Nos. 11432008, 11542005).Received Date:04 August 2016
Accepted Date:17 August 2016
Published Online:05 September 2016
Abstract:Investigations of the growth-induced deformations of soft biological tissues may help understand the underlying mechanical mechanisms of their morphogenesis and provide clues for diagnosing some diseases. In the framework of continuum mechanics, we establish a three-dimensional model to analyze the instabilities of cylindrical soft tissues induced by volumetric growth. The different three-dimensional wrinkling patterns under either free or fixed boundary conditions at the outer surface are considered. It is found that Euler buckling, axially symmetrical wrinkling, and checkerboard wrinkling may occur under the traction-free boundary conditions, while axisymmetric pattern and checkerboard pattern often appear under the fixed boundary conditions. Phase diagrams are constructed to predict the morphologies in terms of the geometrical and material parameters of the system. Besides, a pseudo-dynamic numerical method is invoked to simulate the postbuckling evolutions of the wrinkling patterns.
Keywords: soft biological tissue/
growth/
tubular organ/
instability
