Question

Consider an open ended segment of the left coronary artery with the following specifications: • The transmural pressure is 120 mmHg • The radius of the left coronary artery is 3 mm and its thickness is 0.25 mm (a) Calculate the circumferential strain in this model (b) Find the condition in which the axial (longitudinal) strain in this model is negligible (close to zero) Modulus of elasticity and Poisson's ratio of the vessel are assumed to be 3 MPa and 0.5, respectively

Answer 1

Solz Cruien P=120mm Hg (Dressure head) h=120mm SG $213.6 (for mercury) p=fgh 11 pm P = 13.6h 9.814 10000 120 410-3 S.G = P=1600g. 92 Pascal. Sug Sweater TP=16.00 g kPa] Srg = 13.64 1000 - r= 3mm t=0.25 mm tep ( Thin Shell) $ 0.25% 3 0.25*0.3. Coronary artey can be consider as thin shell. a) - Circumferential istrain Ee= pr (2-4) 8tE immelo

TI &c= pr (2-4) -i). 8t E r= 3mm - s P= 16:00 g kPa E = 3MPa = 3* 10° к Ра a t=0.25mm = l = 0.5 {im pa = 103 kPa) pulting value in epi) Ec= 16.009 kpa x 3 mm (2-0.5) - 84 0.25mm x 34103 kPa [{c=0.012 As (6) Logiteand strain E = Par (1-2 M) = n) 8 t E as "=0.5. P=16.00g kpa, E = 31103 kPa r=3mm t=0.23 mm l= 0.5. - putting value in es EL=0