Thanks everyone for your thoughts and ideas. I've been trying to methodically try different things and settings.
First of all, I have four fans in the case. Two intake, two exhaust. I use the liquid cooling that comes with the FX 9590. I've been running the computer with the side enclosure off, to maximize cooling. My PSU is a heavy-duty Corsair 1200 watt unit, so I have plenty of power.
I went into my BIOS and adjusted multiple settings. AMD's power management was somehow off. Turned it back on. Somehow, at one point, I discovered that six of the eight cores had been turned off. I thought, Ah ha, this is the problem Wrong. Eventually, after having three thermal crashes in a row yesterday while trying to generate 18 web-sized JPEGs from 5Ds RAW in LR, I pulled off the the CPU thermal cooler. I cleaned off the cooler contact and the CPU and reapplied a thin layer of paste. (Actually found a great YouTube video on the proper application for even contact -- use an old credit card to smooth. Anyway, that had some effect, but did not seem to mitigate things totally. (I did discover the GPU was really hot when I was working with the CPU cooler.)
I finally have given up all those as solving my issue and have ordered a new Corsair heavy duty liquid cooler, thinking the stock liquid cooler is not cutting it any more. I'll see if that has any effect. Meantime, I'll keep looking at your postings and see if this work and will let you know. Thanks again for the comments.