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Growing between barriers
Author(s) -
Bolea Albero Antonio,
Böl Markus
Publication year - 2014
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201410037
Subject(s) - volume (thermodynamics) , boundary (topology) , compressibility , volume expansion , mechanics , limit (mathematics) , growth model , compression (physics) , mathematics , thermodynamics , physics , mathematical analysis , mathematical economics , medicine
Growth in living materials is the result of the changes in volume and mass during their development. If volume expansion occurs in a constrained case, some living materials change its growth behaviour. For example, when growth takes place in an environment with restrictions of volume, living materials will stop their volume expansion under compression due to the high amount of water that makes these bodies nearly incompressible. In case boundary conditions limit the growth of the body, the growth direction changes and gives the body another shape as expected. We present a modelling approach that takes volume and shape restrictions during growth into account. (© 2014 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)