REN Jiu-sheng. Mechanical Performance and Negative Pressure Instability for Venous Walls[J]. Applied Mathematics and Mechanics, 2011, 32(7): 860-865. doi: 10.3879/j.issn.1000-0887.2011.07.009
Citation: REN Jiu-sheng. Mechanical Performance and Negative Pressure Instability for Venous Walls[J]. Applied Mathematics and Mechanics, 2011, 32(7): 860-865. doi: 10.3879/j.issn.1000-0887.2011.07.009

Mechanical Performance and Negative Pressure Instability for Venous Walls

doi: 10.3879/j.issn.1000-0887.2011.07.009
  • Received Date: 2010-12-24
  • Rev Recd Date: 2011-04-17
  • Publish Date: 2011-07-15
  • Mechanical properties, such as the deformation and stress distributions for venous walls under the combined loadings of transmural pressure and axial stretch were examined with in the framework of nonlinear elasticity with one kind of hyper-elastic strain energy function. The negative pressure ins tability problem of the venous wall was explained through energy comparison. The deformation equation of the venous wall under the combined loads was obtained with a thin-walled circularcy lindrical tubeat first. The deformation curves and the stress distributions for the venous wall were given under the normal transmural pressure, and the regulations were discussed. Then, the deformation curves of the venous wall under negative transmural pressure, or when the in ternal pressure was less than the external pressure, were given. Finally, the negative pressure in stability problem was discussed through energy comparison.
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