期刊
MECHANICS RESEARCH COMMUNICATIONS
卷 68, 期 -, 页码 31-39出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.mechrescom.2015.04.004
关键词
Growth; Elastoplasticity; Remodelling; Tumour; Natural configurations
类别
资金
- Start-up Packages and PhD Program project
- Regione Lombardia
- National Group of Mathematical Physics (GNFM-INdAM)
The aim of this article is to propose a simple way of describing a tumour as a linear elastic material from a reference configuration that is continuously evolving in time due to growth and remodelling. The main assumption allowing this simplification is that the tumour mass is a very ductile material, so that it can only sustain moderate stresses while the deformation induced by growth, that can actually be quite big, mainly induces a plastic reorganisation of malignant cells. In 'mathematical terms this means that the deformation gradient can be split into a volumetric growth term, a term describing the reorganisation of cells, and a term that can be approximated by means of the linear strain tensor. A dimensional analysis of the importance of the different terms also allows to introduce a second simplification consisting of decoupling the equations describing the growth of the tumour mass from those describing the flow of the interstitial fluid. (C) 2015 Elsevier Ltd. All rights reserved.
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