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在已有的直管动脉壁本构方程研究基础上,提出一个理论方法来分析弯曲动脉壁的非线性弹性力学性质,在弯曲动脉壁被模拟为局部三重正交、横向同性、不可压缩和可经受大变形的厚壁材料下,作者从理论上建立了一个表达弯管动脉壁非线性弹性性质的三维e指数型本构方程.另外文中还进一步探讨了弯曲动脉壁内的残余应变分析.本文听取得的这些成果,可为血流脉搏波沿弯曲动脉传播的数值分析以及弯曲血管壁本构方程的研究和残余应变和残余应力的分析奠定理论基础.
Based on the existing research on the constitutive equations of straight-walled artery wall, a theoretical method is proposed to analyze the nonlinear elastic mechanics of curved artery wall. When the curved artery wall is modeled as local triple orthogonal, transverse isotropic, incompressible and Under thick-walled material subjected to large deformation, the authors theoretically established a three-dimensional e-exponential constitutive equation that expresses the nonlinear elastic properties of the elbow artery wall. In addition, the article further explores the residual strain in the curved wall of the artery analysis. These results obtained in this paper can provide a theoretical basis for the numerical analysis of the flow of blood flow along the curved artery and the study of the curved vascular wall constitutive equation and the analysis of residual strain and residual stress.