IF 3.4 3区 材料科学 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY Mechanics of Materials Pub Date : 2024-12-20 DOI:10.1016/j.mechmat.2024.105215
Laura Miller , Raimondo Penta
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引用次数: 0

摘要

我们提出了一种代表心肌的血管化孔弹性复合材料的新模型,该模型同时包含机械变形和导电性。我们的结构包括一个血管化的多孔弹性细胞外基质和一个嵌入式弹性内含物(代表心肌细胞),我们考虑了这两个固体部分之间的导电性。在我们能明显看到从孔弹性基质和弹性肌细胞中分离出来的连接液体区块的尺度与心肌的整体尺寸之间存在明显的长度尺度差异。因此,我们采用渐近均质化技术来推导新模型。我们得到的有效控制方程通过零阶应力、电流密度、流固相对速度、压力、电动势和弹性位移来描述心肌的行为。它有效地解释了孔弹性基质孔隙中的流体填充、血管中的流动、血管与基质之间的流体传输以及孔弹性基质与心肌细胞之间的弹性变形和电导。这项工作为建立心肌模型铺平了道路,该模型包含了多尺度变形和导电性,同时还考虑了血管的影响以及对机械传导的影响。
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Homogenised modelling of the electro-mechanical behaviour of a vascularised poroelastic composite representing the myocardium
We propose a novel model for a vascularised poroelastic composite representing the myocardium which incorporates both mechanical deformations and electrical conductivity. Our structure comprises a vascularised poroelastic extracellular matrix with an embedded elastic inclusions (representing the myocytes) and we consider the electrical conductance between these two solid compartments. There is a distinct lengthscale separation between the scale where we can visibly see the connected fluid compartment separated from the poroelastic matrix and the elastic myocyte and the overall size of the heart muscle. We therefore apply the asymptotic homogenisation technique to derive the new model. The effective governing equations that we obtain describe the behaviour of the myocardium in terms of the zero-th order stresses, current densities, relative fluid–solid velocities, pressures, electric potentials and elastic displacements. It effectively accounts for the fluid filling in the pores of the poroelastic matrix, flow in the vessels, the transport of fluid between the vessels and the matrix, and the elastic deformation and electrical conductance between the poroelastic matrix and the myocyte. This work paves the way towards a myocardium model that incorporates multiscale deformations and electrical conductivity whilst also considering the effects of the vascularisation and indeed the impact on mechanotransduction.
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来源期刊
Mechanics of Materials
Mechanics of Materials 工程技术-材料科学:综合
CiteScore
7.60
自引率
5.10%
发文量
243
审稿时长
46 days
期刊介绍: Mechanics of Materials is a forum for original scientific research on the flow, fracture, and general constitutive behavior of geophysical, geotechnical and technological materials, with balanced coverage of advanced technological and natural materials, with balanced coverage of theoretical, experimental, and field investigations. Of special concern are macroscopic predictions based on microscopic models, identification of microscopic structures from limited overall macroscopic data, experimental and field results that lead to fundamental understanding of the behavior of materials, and coordinated experimental and analytical investigations that culminate in theories with predictive quality.
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