Constitutive modelling of passive myocardium: a structurally based framework for material characterization
Constitutive modelling of passive myocardium: a structurally based framework for material characterization
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DOI：
10.1098/rsta.2009.0091
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发表时间：
2009-09-13
期刊：
影响因子：
5
通讯作者：
Ogden, Ray W.
中科院分区：
文献类型：
--
作者：
Holzapfel, Gerhard A.;Ogden, Ray W.
在本文中，我们首先回顾了心肌的形态和结构，并讨论了作为正交各向异性材料的被动心肌组织的机械响应的主要特征。在心肌结构内，可以局部识别三个相互正交的方向，形成具有不同材料响应的平面。我们将左心室心肌视为非均质、厚壁、非线性弹性和不可压缩材料，并开发了基于与三个方向相关的不变量的通用理论框架。在此框架内，我们回顾现有的本构模型，然后开发一个基于结构的模型，该模型解释了肌纤维方向和肌细胞片结构。该模型适用于简单剪切和双轴变形，并采用适合现有（且有些有限）实验数据的特定形式，强调正交各向异性和双轴试验的局限性。强调了对额外数据的需求。本文最后简要讨论了模型的凸性问题和相关问题。
In this paper, we first of all review the morphology and structure of the myocardium and discuss the main features of the mechanical response of passive myocardium tissue, which is an orthotropic material. Locally within the architecture of the myocardium three mutually orthogonal directions can be identified, forming planes with distinct material responses. We treat the left ventricular myocardium as a non-homogeneous, thick-walled, nonlinearly elastic and incompressible material and develop a general theoretical framework based on invariants associated with the three directions. Within this framework we review existing constitutive models and then develop a structurally based model that accounts for the muscle fibre direction and the myocyte sheet structure. The model is applied to simple shear and biaxial deformations and a specific form fitted to the existing (and somewhat limited) experimental data, emphasizing the orthotropy and the limitations of biaxial tests. The need for additional data is highlighted. A brief discussion of issues of convexity of the model and related matters concludes the paper.