Details

Autor(en) / Beteiligte

• Dervaux, Julien
• Ben Amar, Martine

Titel

Morphogenesis of growing soft tissues

Ist Teil von

• Physical review letters, 2008-08, Vol.101 (6), p.068101-068101, Article 068101

Ort / Verlag

United States: American Physical Society

Erscheinungsjahr

2008

Quelle

American Physical Society Journals

Beschreibungen/Notizen

• 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 Föppl-von Kármán type. As an illustration, the circumferential growth of a free hyperelastic disk is studied.