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SUMMARY:Multiscale modelling and analysis of biomechanics of plant tissues
  - Mariya  Ptashnyk (Heriot-Watt University)
DTSTART:20230801T133000Z
DTEND:20230801T143000Z
UID:TALK202414@talks.cam.ac.uk
DESCRIPTION: Many biological tissues must be structured in such a way as t
 o be able to adapt to two extreme biomechanical scenarios: they have to be
  strong to resist high pressure and mechanical forces and yet be flexible 
 to allow large expansions and growth. A part of nature&rsquo\;s solution t
 o this intriguing problem are the complex microstructures and microscopic 
 (cellular) processes\, that modify tissue&rsquo\;s elastic properties. To 
 analyse the interplay between the mechanics\, microstructure\, and the che
 mistry we derive microscopic models for plant biomechanics\, assuming that
  the elastic properties depend on the chemical processes and chemical reac
 tions depend on the mechanical stresses. Multiplicative decomposition of t
 he deformation gradient into elastic and growth parts is used to model the
  stress or strain based growth. To analyse the properties and behaviour of
  plant tissues\, the macroscopic models are derived using homogenization t
 echniques. Numerical solutions for macroscopic models demonstrate the impa
 ct of the microstructure on tissue deformations and growth.
LOCATION:Seminar Room 1\, Newton Institute
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