A Method for Initial Stress Analysis of Micro Vessel Wall
A blood vessel model of pseudo-elastic constitutive relation in an absolute (vacuum) zero-stress state is employed, and analytical equations of the vessel wall in the three-dimensional stress state are obtained in this paper. The stress distributions in circumferential and axial directions with different blood pressure levels and material parameters are discussed. The results show that the initial stresses of the vessel wall will increase with increment of the blood pressure, the material parameters also affect the distributions of initial stress, in particular, the increase of axial material parameters, will significantly increase axial stress. These methods are importance in the investigation of the vascular dynamic problem, and conclusions are of use in prevention of the related vascular diseases.
F. R. Gao et al., "A Method for Initial Stress Analysis of Micro Vessel Wall", Advanced Materials Research, Vol. 304, pp. 53-58, 2011