An Implicit Elastic Theory for Lung Parenchyma.

An Implicit Elastic Theory for Lung Parenchyma.
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DOI:
10.1016/j.ijengsci.2012.08.003
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发表时间:
2013-01
影响因子:
6.6
通讯作者:
Einstein DR
Einstein DR
中科院分区:
工程技术1区
文献类型:
--
作者:
Freed AD;Einstein DR

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在正常呼吸过程中,气道和肺实质会经历较大的变形。因此,要对气流模式和气溶胶输送进行空间精确预测,需要将呼吸建模为流体-结构相互作用问题。此类计算模型又需要准确且高效的实质本构模型。在此,从热力学中导出了隐式弹性理论来满足这一需求,从而产生了应变能的通用模板,该模板被证明与众所周知的 Fung 模型完全相似,而 Fung 模型是现代组织本构理论的根源。为了支持这一理论,我们还提出了拉格朗日应变率的新定义。与拉格朗日应变率的经典定义不同,这个新定义可分为体积项和偏量项,这种分离在数学和物理上都是合理的。在此框架内,构建了一种能够描述实质非线性响应的弹性贡献的新型材料模型,并根据已发表的数据进行表征。
The airways and parenchyma of lung experience large deformations during normal respiration. Spatially accurate predictions of airflow patterns and aerosol transport therefore require respiration to be modeled as a fluid-structure interaction problem. Such computational models in turn require constitutive models for the parencyhma that are both accurate and efficient. Herein, an implicit theory of elasticity is derived from thermodynamics to meet this need, leading to a generic template for strain-energy that is shown to be an exact analogue for the well-known Fung model that is the root of modern constitutive theory of tissues. To support this theory, we also propose a novel definition of Lagrangian strain rate. Unlike the classic definition of Lagrangian strain rate, this new definition is separable into volumetric and deviatoric terms, a separation that is both mathematically and physically justified. Within this framework, a novel material model capable of describing the elastic contribution of the nonlinear response of parenchyma is constructed and characterized against published data.
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