The Mathematical Institute, University of Oxford, Eprints Archive

Nonlinear morphoelastic plates II: exodus to buckled states

McMahon, J. and Goriely, A. and Tabor, M. (2010) Nonlinear morphoelastic plates II: exodus to buckled states. Mathematics and Mechanics of Solids . (Submitted)

[img]
Preview
PDF - Submitted Version
1125Kb

Abstract

Morphoelasticity is the theory of growing elastic materials. This theory is based on the multiple decomposition of the deformation gradient and provides a formulation of the deformation and stresses induced by growth. Following a companion paper, a general theory of growing nonlinear elastic Kirchhoff plate is described. First, a complete geometric description of incompatibility with simple examples is given. Second, the stability of growing Kirchhoff plates is analyzed.

Item Type:Article
Subjects:D - G > General
Research Groups:Oxford Centre for Collaborative Applied Mathematics
ID Code:984
Deposited By:Peter Hudston
Deposited On:26 Oct 2010 10:28
Last Modified:09 Feb 2012 16:01

Repository Staff Only: item control page