In an artery of an animal with an internal diameter of 1 cm and wall thickness of 0.75 mm at an end of diastolic pressure 85 mmHg. An 8% increase in the diameter was measured at an end systolic pressure of 130 mmHg. Compute the circumferential stress and strain in the external wall of the artery as well as the Young's modulus of the vessel using external wall position at the artery pressure 85 mmHg. Assuming that the artery is a thick-walled mode of linear isotropic elastic material. The internal radius change is proportional to the pressure change. The artery wall material is incompressible so that the wall thickness changes with the internal diameters.
In an artery of an animal with an internal diameter of 1 cm and wall thickness of 0.75 mm at an end of diastolic pressure 85 mmHg. An 8% increase in the diameter was measured at an end systolic pressure of 130 mmHg. Compute the circumferential stress and strain in the external wall of the artery as well as the Young's modulus of the vessel using external wall position at the artery pressure 85 mmHg. Assuming that the artery is a thick-walled mode of linear isotropic elastic material. The internal radius change is proportional to the pressure change. The artery wall material is incompressible so that the wall thickness changes with the internal diameters.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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Transcribed Image Text:In an artery of an animal with an internal diameter of 1 cm and
wall thickness of 0.75 mm at an end of diastolic pressure 85 mmHg. An 8% increase in
the diameter was measured at an end systolic pressure of 130 mmHg. Compute the
circumferential stress and strain in the external wall of the artery as well as the Young's
modulus of the vessel using external wall position at the artery pressure 85 mmHg.
Assuming that the artery is a thick-walled mode of linear isotropic elastic material. The
internal radius change is proportional to the pressure change. The artery wall material is
incompressible so that the wall thickness changes with the internal diameters.
Expert Solution
Step 1
Given Data:
The internal diameter of the artery
The thickness of the artery at an end of diastolic pressure of 85 mm Hg.
Increase in diameter at an end of systolic pressure of 130 mm Hg.
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