- #1
chusifer
- 7
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here's the question...the inner radius of a blood vessel with circular cylindrical cross section is distended during pressure elevation from radius a to a+∆a. assume the wall of the vessel is incompressible and the length of the vessel is constant. find the radial and circumferential infinitesimal strain, [tex]\epsilon_i_j[/tex] throughout the wall.
ok...so the circumferential strain is defined as [tex]\epsilon_i_j = \lambda_\theta - 1[/tex]. and the radial strain is [tex]\epsilon_r = \lambda_r - 1[/tex]. and the stress ratio, lambda is computed by the final length/initial length right? so is the radial strain just a+∆a/a - 1? and there's no value for the z axis since the vessel is imcompressible...so how would i get the stress ratio for the circumferential strain? many thanks...
ok...so the circumferential strain is defined as [tex]\epsilon_i_j = \lambda_\theta - 1[/tex]. and the radial strain is [tex]\epsilon_r = \lambda_r - 1[/tex]. and the stress ratio, lambda is computed by the final length/initial length right? so is the radial strain just a+∆a/a - 1? and there's no value for the z axis since the vessel is imcompressible...so how would i get the stress ratio for the circumferential strain? many thanks...