BIOMECHANICAL MODELING OF SURFACE WRINKLING OF SOFT TISSUES WITH GROWTH-DEPENDENT MECHANICAL PROPERTIES  

作　　者：Yanping Cao Yi Jiang Bo Li Xiqiao Feng 

机构地区：[1]Institute of Biomechanics and Medical Engineering,Department of Engineering Mechanics,Tsinghua University,Beijing 100084,China

出　　处：《Acta Mechanica Solida Sinica》2012年第5期483-492,共10页固体力学学报（英文版）

基　　金：supported by the National Natural Science Foundation of China (Grant Nos. 10972112 and 11172155);Tsinghua University;973 Program (2010CB631005)

摘　　要：This paper explores growth induced morphological instabilities in biological soft materials. In view of that the growth of a living tissue not only changes its geometry but also can alter its mechanical properties, we suggest a refined volumetric growth model incorporating the effects of growth on the mechanical properties of materials. Analogy between this volumetric growth model and the conventional thermal stress model is addressed for both small and finite de- formation problems, which brings great ease for the finite element analysis based on the suggested model. Examples of growth induced surface wrinkling behavior in soft composites, including core- shell soft cylinders and three-layered soft tissues, are explored. The results and discussions foresee possible applications of the model in understanding the correlation between the morphogenesis and growth of soft biological tissues （e.g. skins and tumors）, as well as in evaluating the defor- mation and surface instability behavior of soft artificial materials induced by swelling/shrinkage.This paper explores growth induced morphological instabilities in biological soft materials. In view of that the growth of a living tissue not only changes its geometry but also can alter its mechanical properties, we suggest a refined volumetric growth model incorporating the effects of growth on the mechanical properties of materials. Analogy between this volumetric growth model and the conventional thermal stress model is addressed for both small and finite de- formation problems, which brings great ease for the finite element analysis based on the suggested model. Examples of growth induced surface wrinkling behavior in soft composites, including core- shell soft cylinders and three-layered soft tissues, are explored. The results and discussions foresee possible applications of the model in understanding the correlation between the morphogenesis and growth of soft biological tissues （e.g. skins and tumors）, as well as in evaluating the defor- mation and surface instability behavior of soft artificial materials induced by swelling/shrinkage.

关 键 词：volumetric growth soft tissues surface instability MORPHOGENESIS 

分 类 号：TQ433.43[化学工程] U462.2[机械工程—车辆工程]