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Imagine if an artificial cartilage is fully made of chondrocytes which has a compression modulus 0.41 KPa and apparent viscosity of 3.0 KPa.s.
a) If such a artificial cartilage is under a sudden load stress of 0.1 KPa, use a simple Kelvin model, can you give an estimate of the time period needed to equilibrium from the given mechanical properties?
b) What is the final equilibrium strain?
c) Plot out the creep function (strain/load stress) of this cartilage under a sudden load stress of 0.1 MPa at time t=0.
You can modify the sample Matlab skeleton code below.
syms sig0 eps emod mvis
dsolve(‘Deps + (emod/mvis)*eps = sig0/mvis’) emod=0.1;
mvis=1.0;
sig0=1.0;
C5=1.0;
t=0:1:100;
epsresult=(sig0 – C5*exp(-(emod*t)/mvis))/emod plot(epsresult,t);
d) Comment on why a good artificial cartilage can not be made with only chondrocytes and what is missing.
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