We study how the encasement of a growing elastic bulk within a possibly differently growing elastic coat may induce mechanical instabilities in the equilibrium shape of the combined body. The inhomogeneities induced in an incompressible bulk during growth are also discussed. These effects are illustrated through a simple example in which a growing elastic cylinder may undergo a shape transition towards a bent configuration.

Encasement as a morphogenetic mechanism: The case of bending

BISCARI, PAOLO;
2015-01-01

Abstract

We study how the encasement of a growing elastic bulk within a possibly differently growing elastic coat may induce mechanical instabilities in the equilibrium shape of the combined body. The inhomogeneities induced in an incompressible bulk during growth are also discussed. These effects are illustrated through a simple example in which a growing elastic cylinder may undergo a shape transition towards a bent configuration.
2015
morphogenesis; encasement; bending; growth; instability
File in questo prodotto:
File Dimensione Formato  
2015_INJLM_BiscariSusiniZanzotto_online.pdf

Accesso riservato

: Pre-Print (o Pre-Refereeing)
Dimensione 449.23 kB
Formato Adobe PDF
449.23 kB Adobe PDF   Visualizza/Apri
Encasement as a morphogenetic mechanism-The case of bending_11311-959181_Biscari.pdf

accesso aperto

: Post-Print (DRAFT o Author’s Accepted Manuscript-AAM)
Dimensione 382.27 kB
Formato Adobe PDF
382.27 kB Adobe PDF Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/959181
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 0
  • ???jsp.display-item.citation.isi??? 0
social impact