That's very upsetting when the device will not power on. It maybe hardware related so we may need to look at your replacement options. Is there any corrosion where the battery and device connect? Please try the alternative hard reset This will factory reset the device. Please make sure contacts are backed up prior to resetting. If you are still experiencing this issue please PM me and I will gladly further troubleshoot with you.
I am having this exact problem. I am unable to do the alternative hard reset as suggested in this and other threads because I am unable to get the device to power on (at all) or register any touchscreen activity. I have had this device for less than a month, which replaced a prior Droid 2 Global after touchscreen failure.
My Droid 3 was doing they same thing, I eventually put pressure on the battery to make a better connection with the contact post and it came right up. This was after messing with it for about 20 min. The slight pressure worked like a charm.