I am trying to relate degree of corrosion with pressure exerted in surrounding concrete. My common sense tells me that higher the degree of corrosion, higher should be the pressure exerted, but my equation tells me it is constant. Obviously, i am making a calculation mistake, but could not figure it out. What mistake am i making (figure attached)?
Consider unit length along the rebar:
Area after corrosion is
A1=A0*(1-p) ; p is percentage of corrosion
the volume occupied by rust if there was sufficient space is given by converting the volume of steel to equivalent volume or rust
A2=A1+p*ros/roc*A0;
Initial volume
V1=A2-A1
final volume
V2=A0-A1
Change in volume
dV=V1-V2
strain=dV/V1
solving, strain=(-roc + ros)/ros
there is no P.
What am i doing wrong?