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Structrual Engineer's blog

Homogenization using experimental data

Submitted by Structrual Engineer on

I am exploring the area of homogenization applications in structural
engineering.

In the literature which I have studied so far, I found papers which
developed these techniques using the structural properties of the periodic
"Unit Cell".

I am interested in estimation of approximate homogeneous properties from the
experimental data of periodic/random structures.

Can someone comment on the feasibility of this study and point me to relevant
literature if available.

 

Comments on Cauchy's stress theorem

Submitted by Structrual Engineer on

I have been bugged by this question ever since I studied cauchy's stress theory 10 years ago.

In cauchy's analysis of solids, there two popular geometries.

First one is a unit cube used for deriving equations of equilibrium.

And the second one is a tetraheadon used for deriving Cauchy's stress theorem.

In both the cases limit of force equilibrium as solid geometry shrinks to a point is derived.

My question has been, how come limit of force equilibrium at a point inside a solid depenent on the path taken by limiting process.