Abstract
Morphoelasticity is the theory of growing elastic materials. The theory is based on the multiplicative 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 non-linear 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. © SAGE Publications 2011.
Original language | English (US) |
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Pages (from-to) | 833-871 |
Number of pages | 39 |
Journal | Mathematics and Mechanics of Solids |
Volume | 16 |
Issue number | 8 |
DOIs | |
State | Published - May 11 2011 |
Externally published | Yes |
Bibliographical note
KAUST Repository Item: Exported on 2020-10-01Acknowledged KAUST grant number(s): KUK-C1-013-04
Acknowledgements: This work was supported by the National Science Foundation under grant DMS-0907773. AG also gratefully acknowledges partial support from Award No. KUK-C1-013-04, made by the King Abdullah University of Science and Technology (KAUST).
This publication acknowledges KAUST support, but has no KAUST affiliated authors.