| 基于超弹性材料的心脏数学模型仿真 |
| Simulation of Cardiac Mathematical Model Based on Hyperelastic Materials |
| 投稿时间：2018-11-12 修订日期：2018-11-12 |
| DOI：10.12136/j.issn.1000-890X.2019.08.0577 |
| 中文关键词: 心脏 超弹性材料 数学模型 各向异性 迭代收敛 |
| 英文关键词: cardiac hyperelastic material mathematical model anisotropy iterative convergence |
| 基金项目:国家自然科学基金资助项目（51073009）；教育部新世纪优秀人才支持项目（NCET-10-0202） |
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| 中文摘要: |
| 针对心脏运动过程大变形、非线性、各向异性和高应变率的力学特性，采用考虑应变率效应的超弹性材料数学模型进行有限元分析，得到各向同性、横观各向同性和各向异性3种本构模型的相关参数。通过对3种模型求解需要的牛顿迭代次数和CPU时间的对比，选择各向异性本构模型作为心脏运动学仿真的本构模型，这为后续的心脏力学建模、生理分析和数学模型迭代计算提参考和数据支持。 |
| 英文摘要: |
| In view of the mechanical characteristics of large deformation，nonlinearity，anisotropy and high strain rate during cardiac motion，the hyperelastic material mathematical model considering strain rate effect was used for finite element analysis，and the relevant parameters of three constitutive models，i.e.isotropic，transverse isotropic and anisotropic，were obtained.By comparing the number of Newton iterations and CPU time needed to solve the three models，the anisotropic constitutive model was selected as the constitutive model of cardiac kinematics simulation，which could provide reference and data support for subsequent cardiac mechanics modeling，physiological analysis and mathematical model iteration calculation. |
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