Asymptotic Models of Anisotropic Heterogeneous Elastic Walls of Blood Vessels

@inproceedings{Kozlov2015AsymptoticMO,
  title={Asymptotic Models of Anisotropic Heterogeneous Elastic Walls of Blood Vessels},
  author={Vladimir Kozlov and Sergey Nazarov},
  year={2015}
}
Using the dimension reduction procedure in the three-dimensional elasticity system, we derive a two-dimensional model for elastic laminate walls of a blood vessel. The wall of arbitrary cross-section consists of several (actually three) elastic, anisotropic layers. Assuming that the wall’s thickness is small compared with the vessel’s diameter and length, we derive a system of the limit equations. In these equations, the wall’s displacements are unknown given on the two-dimensional boundary of… CONTINUE READING

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