laboratoire de physique statistique
 
 
laboratoire de physique statistique

Publications

Rechercher
2008 


Martine BEN AMAR 


2
P U B L I C A T I O N S

S E L E C T I O N N E R
P A R M I :


 
2008
Morphogenesis of growing soft tissues - Dervaux, Julien and Ben Amar, Martine
PHYSICAL REVIEW LETTERS 101 (2008) 
LPS


Abstract : Recently, much attention has been given to a noteworthy property of some soft tissues: their ability to grow. Many attempts have been made to model this behavior in biology, chemistry, and physics. Using the theory of finite elasticity, Rodriguez has postulated a multiplicative decomposition of the geometric deformation gradient into a growth-induced part and an elastic one needed to ensure compatibility of the body. In order to fully explore the consequences of this hypothesis, the equations describing thin elastic objects under finite growth are derived. Under appropriate scaling assumptions for the growth rates, the proposed model is of the Foppl-von Karman type. As an illustration, the circumferential growth of a free hyperelastic disk is studied.
Conical Defects in Growing Sheets - Mueller, Martin Michael and Ben Amar, Martine and Guven, Jemal
PHYSICAL REVIEW LETTERS 101 (2008) 
LPS


Abstract : A growing or shrinking disc will adopt a conical shape, its intrinsic geometry characterized by a surplus angle phi(e) at the apex. If growth is slow, the cone will find its equilibrium. Whereas this is trivial if phi(e)<= 0, the disc can fold into one of a discrete infinite number of states if phi(e)> 0. We construct these states in the regime where bending dominates and determine their energies and how stress is distributed in them. For each state a critical value of phi(e) is identified beyond which the cone touches itself. Before this occurs, all states are stable; the ground state has twofold symmetry.