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Stress‐modulated growth in the presence of nutrients—Existence and uniqueness in one spatial dimension

URN to cite this document:
urn:nbn:de:bvb:355-epub-542595
DOI to cite this document:
10.5283/epub.54259
Bangert, Kira ; Dolzmann, Georg
Date of publication of this fulltext: 23 May 2023 05:22

This publication is part of the DEAL contract with Wiley.


Abstract

Existence and uniqueness of solutions for a class of models for stress-modulated growth is proven in one spatial dimension. The model features the multiplicative decomposition of the deformation gradient F into an elastic part and a growth-related part G. After the transformation due to the growth process, governed by G, an elastic deformation described by is applied in order to restore the ...

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