Nonlinear morphoelastic plates II: Exodus to buckled states

J. McMahon, A. Goriely, M. Tabor

Research output: Contribution to journalArticlepeer-review

7 Scopus citations


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 languageEnglish (US)
Pages (from-to)833-871
Number of pages39
JournalMathematics and Mechanics of Solids
Issue number8
StatePublished - May 11 2011
Externally publishedYes


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