Continuum mechanics of moving defects in growing bodies

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Growth processes in many living organisms create thin, soft materials with an intrinsically hyperbolic geometry. These objects support novel types of mesoscopic defects – discontinuity lines for the second derivative and branch points – terminating defects for these line discontinuities. These higher-order defects move “easily”, and thus confer a great degree of flexibility to thin hyperbolic elastic sheets. We develop a general, higher-order, continuum mechanical framework from which we can derive the dynamics of higher order defects in a thermodynamically consistent manner. We illustrate our framework by obtaining the explicit equations for the dynamics of branch points in an elastic body.

Original languageEnglish (US)
JournalUnknown Journal
StatePublished - Jun 19 2019

ASJC Scopus subject areas

  • General

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