Nonlinear morphoelastic plates II: Exodus to buckled states

J. McMahon, A. Goriely, M. Tabor

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

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 languageEnglish (US)
Pages (from-to)833-871
Number of pages39
JournalMathematics and Mechanics of Solids
Volume16
Issue number8
DOIs
StatePublished - May 11 2011
Externally publishedYes

Fingerprint

Dive into the research topics of 'Nonlinear morphoelastic plates II: Exodus to buckled states'. Together they form a unique fingerprint.

Cite this