Asymptotic Models of Anisotropic Heterogeneous Elastic Walls of Blood Vessels

  title={Asymptotic Models of Anisotropic Heterogeneous Elastic Walls of Blood Vessels},
  author={Vladimir Kozlov and Sergey Nazarov},
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


Publications referenced by this paper.

Collagen in Arterial Walls: Biomechanical Aspects

  • Holzapfel G.A
  • ”Collagen. Structure and Mechanics”,
  • 2008
Highly Influential
4 Excerpts

Surface enthalpy

  • S. A. Nazarov
  • Dokl. Ross. Akad. Nauk
  • 2008
Highly Influential
3 Excerpts

Elasticity and plasticity of large deformations. An introduction

  • A. Bertram
  • Third edition. Springer: Heidelberg,
  • 2012
1 Excerpt

Korn inequalities for a reinforced plate

  • S. Nazarov, A. Slutskij, G. Sweers
  • Journal of Elasticity
  • 2012
1 Excerpt

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