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What is the answer to this question? Imagine if an artificial cartilage is fully made of...

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Mechanical Engineering

What is the answer to this question?

Imagine if an artificial cartilage is fully made of chondrocyteswhich has a compression modulus 0.41 KPa and apparent viscosity of3.0 KPa.s.

a) If such a artificial cartilage is under a sudden load stressof 0.1 KPa, use a simple Kelvin model, can you give an estimate ofthe time period needed to equilibrium from the given mechanicalproperties?
b) What is the final equilibrium strain?

c) Plot out the creep function (strain/load stress) of thiscartilage 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))/emodplot(epsresult,t);

d) Comment on why a good artificial cartilage can not be madewith only chondrocytes and what is missing.

Answer & Explanation Solved by verified expert
4.2 Ratings (667 Votes)
a For a step load the strain relation for Kelvin model isWhere initialstress01 kPa relaxationtime constantHere apparentviscosity3 kPaskcompression modulus041    See Answer
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