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