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

作　　者：田良 范庆明[1] 曹岩[1] 赵晗 TIAN Liang;FAN Qingming;CAO Yan;ZHAO Han(Xi’an Technological University,Xi’an 710021,China)

机构地区：[1]西安工业大学机电工程学院

出　　处：《橡胶工业》2019年第8期577-580,共4页China Rubber Industry

基　　金：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)

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供参考和数据支持。In view of the mechanical characteristics of large deformation,nonlinearity,anisotropy and high strain rate during cardiac motion,the hyperelastic material mathematical model for cardiac with consideration of the strain rate effect was used for finite element analysis,and the relevant parameters of three constitutive models,i. e. isotropic,transverse isotropic and anisotropic model,were obtained. The number of Newton iterations and CPU time needed to solve the three models were compared,and the anisotropic constitutive model was selected for the kinematics simulation of cardiac,which provided reference and data support for subsequent cardiac mechanics modeling,physiological analysis and mathematical model iteration calculation.

关 键 词：心脏 超弹性材料 数学模型 各向异性 迭代收敛 

分 类 号：Q811.6[生物学—生物工程] O241.82[理学—计算数学]