I am searching about a software for analyzing of electronic and communication boards viewpoint of radiation tolerance. for example the output of this software is 40 krad. it means this boards can tolerate 40 krad in radiation environments.
If what you are searching for is the capacity to simulate the damage in boards when irradiated, you could use TCAD for that (through the Sentaurus Workbench). Once the electronics is designed, it allows for a radiation damage model.
I think the radiation tolerance of electronic component , can be detected by the electrical equation of the behavior of the device in the boards, in which you can modeled a software by any language using the devices
You should be aware, that different radiation types have different influences on electronics. I am not familliar with your setup (electorn beam, gamma source, X-ray source, proton beam,...). I guess for initial tests you should perform radiation transport with some Monte Carlo particle transport code, calculate charge deposition, and then use the code suggested by @ Oriol Sans Planell. I am not sure however about the accuracy and the dynamic processes.
We have had quite a few irradiation campaigns at the JSI TRIGA reactor on radiation hardness testing of electronics, including CERN and National Instruments, where they performed various online tests during irradiaiton to observe the radiation effects. If you have a couple of boards to spare, I guess an actuall irradiation would give you the most accurate response.
You can use MATLAB. Look at papers and questions on absorption coefficients of various materials to protect the hardware. You don't just have a circuit board.