Dear all,(adsbygoogle = window.adsbygoogle || []).push({});

I would like to know from you the solution about this problem (which isnota homework, but a topic of my Master thesis!): I need the strain energy density related to a circle of radius r0 centered in an arbitrary point of a square plate, under the boundary conditions described in the attached picture (on the right edge a linear stress is applied, which ranges from 0 to S). The value I obtained, under the plain strain hypothesis, is:

[itex]

SED=\frac{1-\nu^2}{2\,E}\,\left(\frac{S}{h}\right)^2\,\left[\frac{r_0^2}{4}+(h+y_c)^2\right][/itex]

where h is the edge of the square plate and yc the y coordinate of the center. The fact is that it doesn't match with the FEM solution (which is surely right, since it was obtained by my Supervisor .

Can you please derive the equation and compare it with mine?

Thanks for your help!

Mattia

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Local strain energy density for a plate subjected to in-plane linear load

**Physics Forums | Science Articles, Homework Help, Discussion**