It appears that the TPS62175 / TPS62177 is severely vulnerable to self-destruction. Several other posters have reported simple mechanisms which induced the chip to destroy itself:
TPS62177 grenades on power up the second time, but works on the first.
https://e2e.ti.com/support/power_management/non-isolated_dcdc/f/196/p/370421/1302868#1302868
TPS62177 breaks on input voltage change
https://e2e.ti.com/support/power_management/non-isolated_dcdc/f/196/p/263694/922133#922133
first attemp at switching dc-dc ends in smoke :(
http://forum.43oh.com/topic/5786-first-attemp-at-switching-dc-dc-ends-in-smoke/
While initially testing a design incorporating the TPS62177, I touched an area of the PCB several inches from the TPS62177 and felt a small static discharge. Within seconds, the TPS62177 was emitting smoke. The point I touched could only have led to a conduction path to system ground or to the +24V rail feeding the TPS62177. When the TPS62177 was removed and a TPS62175EVM evaluation module jury-rigged in its place, the system ran fine - the op amps and DSP, which I would have expected to be more delicate, were not significantly affected.
I added a transient voltage protector diode (Vishay TransZorb SMCJ24A) to the +24V rail in the next revision of my product.
I recently discovered the first of the new boards (with TransZorb) non-functional after working fine earlier in the day. I and an associate each remember briefly transmitting a small static shock to one of the board's mounting standoffs which could only have arced over to system ground, the +24V rail or a signal driven by a chip powered by +24V and only connected via a chain of intervening ICs to the +3.3V output of the TPS62177 (which is carried by an isolated island in the internal power plane of the PCB). Neither of us witnessed the actual failure, so I cannot say whether there was any smoke, but later examination revealed a distinct pinhole in the top of the TPS62177 package near pin 3. When an external +3.3V supply was subsequently connected (with the TPS62177 still in place), it was dragged down to ~1 V at its 1 A current limit.
Because both of these failures were catastrophic and occurred while the chip was powered, I believe they are evidence of some form of latchup.
Are there reasonable precautions that must be taken when using this chip, beyond the whopping big 1500W TransZorb I have already provided? Is T.I. aware of how vulnerable this chip is and is a corrected stepping available?