Question #178676

PET has a Young's, Modulus of 3.5 GPa and PLGA 1.2 GPa. A polymer blend is prepared with 40:60 mixture (PET:PlGA) . What is the Young's, Modulus of this blend (use mixture rule). Calculate the percent load borne by PET when the blend is subjected to a load. If after 10 days, half of PET and one third of PLGA had degraded, what is the Young's Modulus of this blend.


1
Expert's answer
2021-04-07T11:28:09-0400

Youngsmodulus=YPET=Young's modulus=Y_{PET}= 3.5 GPa, YGPA=1.2GPaY_{GPA}= 1.2 GPa

It has mixture of 50:50

Ym=25YPET+35YGPAY_m= \frac {2}{5}Y_{PET} + \frac {3}{5}Y_{GPA}


Ym=3.5×25+3×1.25Y_m= \frac {3.5\times2}{5} + \frac {3\times 1.2}{5}


Ym=1.4+0.72=2.12 GPaY_m= 1.4+ 0.72= 2.12\ GPa


Let P be the load applied on blend mixture


Total elongation = elongation of 1 + elongation of 2

so here Youngs modulus for mixture after 10 days as per rule of degradation



Ym=Y_m = 3.52+1.23=1.74+.4=2.14\frac{3.5}{2} +\frac{1.2}{3}= 1.74 + .4= 2.14 GPa


This Youngs modulus after 10 days


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