Nonlinear morphoelastic plates II: Exodus to buckled states

Joseph McMahon, Alain Goriely, Michael Tabor

Research output: Contribution to journalArticle

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.

Original languageEnglish (US)
Pages (from-to)833-871
Number of pages39
JournalMathematics and Mechanics of Solids
Volume16
Issue number8
DOIs
StatePublished - Oct 1 2011

Keywords

  • Kirchhoff plates
  • buckling
  • growth
  • non-linear elasticity
  • residual stress

ASJC Scopus subject areas

  • Mathematics(all)
  • Materials Science(all)
  • Mechanics of Materials

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