A continuum model for free growth in living materials | Zendy

Bolea Albero Antonio | Zendy; Ehret Alexander E. | Zendy; Böl Markus | Zendy

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A continuum model for free growth in living materials

Author(s) -

Bolea Albero Antonio,

Ehret Alexander E.,

Böl Markus

Publication year - 2012

Publication title -

pamm

Language(s) - English

Resource type - Journals

ISSN - 1617-7061

DOI - 10.1002/pamm.201210052

Subject(s) - isotropy , multiplicative function , focus (optics) , growth model , kinetic energy , work (physics) , deformation (meteorology) , mechanics , statistical physics , mathematics , materials science , classical mechanics , physics , mathematical analysis , thermodynamics , mathematical economics , composite material , optics

We focus in this work on isotropically growing materials. An adaptive algorithm is used in order to maintain a stress‐free state during growth if no external loads are applied, but keeping the volume growth defined by a former kinetic. The proposed model is based on a modified multiplicative split of the deformation gradient into a growth part and an elastic part. The growth part will be isotropic if the elastic deformations are favourable, otherwise the growth will find a more comfortable direction. Three‐dimensional examples based on different kinetics are presented and discussed using the numerical model. (© 2012 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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