Elastic cavitation, tube hollowing, and differential growth in plants and biological tissues

被引:32
作者
Goriely, A. [1 ]
Moulton, D. E. [1 ]
Vandiver, R. [2 ]
机构
[1] Univ Oxford, Inst Math, OCCAM, Oxford OX1 3LB, England
[2] Bryn Mawr Coll, Bryn Mawr, PA 19010 USA
基金
美国国家科学基金会;
关键词
MECHANICAL PERTURBATION; THIGMOMORPHOGENESIS; SEPARATION;
D O I
10.1209/0295-5075/91/18001
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Elastic cavitation is a well-known physical process by which elastic materials under stress can open cavities. Usually, cavitation is induced by applied loads on the elastic body. However, growing materials may generate stresses in the absence of applied loads and could induce cavity opening. Here, we demonstrate the possibility of spontaneous growth-induced cavitation in elastic materials and consider the implications of this phenomenon to biological tissues and in particular to the problem of schizogenous aerenchyma formation. Copyright (C) EPLA, 2010
引用
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页数:6
相关论文
共 35 条
[1]  
[Anonymous], 1984, NONLINEAR ELASTIC DE
[2]  
[Anonymous], 1875, TXB BOT MORPHOLOGICA
[3]  
Antman S. S., 1995, NONLINEAR PROBLEMS E
[4]   DISCONTINUOUS EQUILIBRIUM SOLUTIONS AND CAVITATION IN NON-LINEAR ELASTICITY [J].
BALL, JM .
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1982, 306 (1496) :557-611
[5]   Growth and instability in elastic tissues [J].
Ben Amar, M ;
Goriely, A .
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 2005, 53 (10) :2284-2319
[6]   AUTOLYSIS IN HERBACEOUS, DICOTYLEDONOUS PLANTS - EXPERIMENTAL MANIPULATION OF PITH AUTOLYSIS IN SEVERAL CULTIVATED SPECIES [J].
CARR, SM ;
JAFFE, MJ .
ANNALS OF BOTANY, 1995, 75 (06) :587-592
[7]   INTERNAL FRACTURE IN AN ELASTOMER CONTAINING A RIGID INCLUSION [J].
CHO, K ;
GENT, AN ;
LAM, PS .
JOURNAL OF MATERIALS SCIENCE, 1987, 22 (08) :2899-2905
[8]   Aerenchyma formation [J].
Evans, DE .
NEW PHYTOLOGIST, 2004, 161 (01) :35-49
[9]   Cavitation criterion for rubber materials: A review of void-growth models [J].
Fond, C .
JOURNAL OF POLYMER SCIENCE PART B-POLYMER PHYSICS, 2001, 39 (17) :2081-2096
[10]   WHAT ARE THE RESIDUAL-STRESSES DOING IN OUR BLOOD-VESSELS [J].
FUNG, YC .
ANNALS OF BIOMEDICAL ENGINEERING, 1991, 19 (03) :237-249