In order to be familiar with coding top. opt. problem, the best resource i think is to go through the book by Prof. Bendose & Prof. Sigmund, "Topology Optimization: Theory, Methods, and Applications". Also check the stuffs available on http://www.topopt.dtu.dk/
Hi, I also encounter a problem on sensitivity analysis of Homogenized Coefficients of 2D plane elasticity. You seem to solve the heat transfer problem. The paper entitled "Design and fabrication of biphasic cellular materials with transport properties –
A modified bidirectional evolutionary structural optimization procedure and
MATLAB program.pdf" may be helpful. Would you mind give me your email address? We may discuss privately. My email is " [email protected]". Good luck!
Finite Differences Method with correct choice of the step variation in order to obtain accurate values of sensitivity factors. Furthermore it is necessary to use adimmensional sensitivity factors i.e. (P/W)*(dW/dP) to verify if the obtained results are availabe for the studied problem and if their magnitude is between 0.5 - 5.