A new approach to the simulation of microbial biofilms by a theory of fluid-like pressure-restricted finite growth
A new approach to the simulation of microbial biofilms by a theory of fluid-like pressure-restricted finite growth
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DOI：
10.1016/j.cma.2014.01.001
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发表时间：
2014-04-15
影响因子：
7.2
通讯作者：
Boel, Markus
中科院分区：
文献类型：
--
作者：
Albero, Antonio Bolea;Ehret, Alexander E.;Boel, Markus
一般来说，“生长”一词的特征是生物体通过增加质量而增加尺寸的过程。生物以各种不同的方式生长，由遗传和生物因素触发。此外，生长体在空间中的配置取决于其与边界环境的相互作用。在本文中，我们处理的机械约束的增长在边界的机构。特别是，我们提出了一个模型的增长，使新材料的各向同性沉积产生的残余应力不断释放，这取决于作用在材料上的静水压力。作为一个例子，这种压力限制类流体类型的增长，我们认为微生物生物膜之间的刚性障碍物在几何限制的环境。所提出的概念统一了两个经典的大应变粘弹性和有限增长的本构关系。该模型被实现到一个有限元框架，以说明其性能在几个基准问题。(C)2014爱思唯尔有限公司版权所有。
In general, the term 'growth' characterises the process by which a living body increases in size by addition of mass. Living matter grows in various different ways, triggered by genetic and biological factors. In addition, the configuration of the grown body in space depends on its interaction with the environment at the boundaries. In this paper, we deal with mechanical constraints on growth at the boundary of the body. Particularly, we present a model for growth such that residual stresses resulting from an isotropic deposition of new material are continuously relieved and that depends on the hydrostatic pressure acting on the material. As an example for this pressure-restricted fluid-like type of growth, we consider microbial biofilms growing between rigid obstacles in geometrically confined environments. The presented concept unites two classical constitutive formulations of large strain viscoelasticity and finite growth. The model was implemented into a finite element framework to illustrate its performance in several benchmark problems. (C) 2014 Elsevier B.V. All rights reserved.