Journal
MATHEMATICS AND MECHANICS OF SOLIDS
Volume 16, Issue 8, Pages 833-871Publisher
SAGE PUBLICATIONS LTD
DOI: 10.1177/1081286510387234
Keywords
buckling; growth; Kirchhoff plates; non-linear elasticity; residual stress
Categories
Funding
- National Science Foundation [DMS-0907773]
- King Abdullah University of Science and Technology (KAUST) [KUK-C1-013-04]
- Direct For Mathematical & Physical Scien
- Division Of Mathematical Sciences [0907773] Funding Source: National Science Foundation
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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.
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