A constrained mixture model for growth and remodeling of soft tissues
A constrained mixture model for growth and remodeling of soft tissues
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DOI：
10.1142/s0218202502001714
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发表时间：
2002-03-01
影响因子：
3.5
通讯作者：
Rajagopal, KR
中科院分区：
文献类型：
--
作者：
Humphrey, JD;Rajagopal, KR
不久前，人们认为软组织力学最重要的特征是其复杂的力学特性：它们通常在有限应变下表现出非线性、各向异性、几乎不可压缩和粘弹性行为。事实上，这些特性赋予了软组织独特的结构能力，通过本构关系进行量化仍然极具挑战性。然而，最近，我们开始认识到软组织的一个更重要的特征，即它们适应机械环境变化的自我平衡倾向。因此，为了更好地理解软组织的生物力学特性，我们不仅要量化它们在给定时间内的结构和功能，还必须量化它们的结构和功能如何响应改变的刺激而变化。本文提出了一种新的约束混合理论模型，用于研究软组织的生长和重塑。该模型融合了经典混合理论和均质化理论的思想，既发挥了各自的优点，又避免了特定的困难。突出的特征包括单个成分的产生和去除的动力学，以及识别每个成分的物质点的邻域可以具有不同的，不断发展的自然（即无应力）配置。
Not long ago it was thought that the most important characteristics of the mechanics of soft tissues were their complex mechanical properties: they often exhibit nonlinear, anisotropic, nearly incompressible, viscoelastic behavior over finite strains. Indeed, these properties endow soft tissues with unique structural capabilities that continue to be extremely challenging to quantify via constitutive relations. More recently, however, we have come to appreciate an even more important characteristic of soft tissues, their homeostatic tendency to adapt in response to changes in their mechanical environment. Thus, to understand well the biomechanical properties of a soft tissue, we must not only quantify their structure and function at a given time, we must also quantify how their structure and function change in response to altered stimuli. In this paper, we introduce a new constrained mixture theory model for studying growth and remodeling of soft tissues. The model melds ideas from classical mixture and homogenization theories so as to exploit advantages of each while avoiding particular difficulties. Salient features include the kinetics of the production and removal of individual constituents and recognition that the neighborhood of a material point of each constituent can have a different, evolving natural (i.e. stress-free) configuration.