Shanghai Key Laboratory of Mechanics in Energy and Environment Engineering, Department of Mechanics, Shanghai University, Shanghai 200444, China.
J Theor Biol. 2013 Nov 21;337:80-8. doi: 10.1016/j.jtbi.2013.08.008. Epub 2013 Aug 19.
Growth, residual stresses and mechanical responses of arterial walls under the inner pressure are investigated within the framework of a finite deformation hyper-elasticity theory. A biomechanical model for a two-layer thick-walled circular cylindrical tube is proposed to address the mechanical effects of finite volumetric growth and residual stresses of arterial walls. The active stress due to smooth muscle tone in the media and the dispersion of collagen fiber orientations in the adventitia are also considered. The fields of displacements and stress distributions of arterial walls with growth are solved analytically. Analysis of axial, radial and circumferential growth is considered and residual stress distributions of arterial walls in different cases of growth are compared.
在有限变形超弹性理论的框架内，研究了动脉壁在内部压力下的生长、残余应力和力学响应。提出了一种用于双层厚壁圆柱形管的生物力学模型，以解决动脉壁的有限体积生长和残余应力的力学效应。还考虑了中膜平滑肌张力引起的主动应力和外膜中胶原纤维取向的弥散。通过解析方法求解了有生长的动脉壁的位移场和应力分布。分析了轴向、径向和周向生长，并比较了不同生长情况下的动脉壁残余应力分布。
