Nonlinear morphoelastic plates II: Exodus to buckled states

Joseph McMahon, Alain Goriely, Michael Tabor

Research output: Contribution to journalArticle

5 Citations (Scopus)

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 2011

Fingerprint

Kirchhoff Plate
Elastic Plate
Elastic Material
Decomposition
Multiplicative
Gradient
Decompose
Formulation

Keywords

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

ASJC Scopus subject areas

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

Cite this

Nonlinear morphoelastic plates II : Exodus to buckled states. / McMahon, Joseph; Goriely, Alain; Tabor, Michael.

In: Mathematics and Mechanics of Solids, Vol. 16, No. 8, 10.2011, p. 833-871.

Research output: Contribution to journalArticle

McMahon, Joseph ; Goriely, Alain ; Tabor, Michael. / Nonlinear morphoelastic plates II : Exodus to buckled states. In: Mathematics and Mechanics of Solids. 2011 ; Vol. 16, No. 8. pp. 833-871.
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