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

License: Creative Commons Attribution Non-commercial No Derivatives 4.0
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Date of publication of this fulltext: 23 May 2023 05:22

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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 Fe$F_e$ and a growth-related part G. After the transformation due to the growth process, governed by G, an elastic deformation described by Fe$F_e$ is applied in order to ...