No woodie would ever survive the punishment you're describing - the wood will pit, chip, and ultimately crack. It's just the nature of the material.
The SR-80 are relatively durable; you can do quite a lot worse, especially for that money. They will not survive direct abuse, but very few headphones actually will. The biggest problem I see, apart from the grattle and headphone cable kinks, would be deforming the headband - it's not exactly fragile, but it can be bent (and depending on how much weight you drop on them, and how abusively you treat your stuff, you could easily damage this). I don't think it's fair to say they're "fragile" compared to all hi-fi headphones; look at something like the Sony F1 by contrast, which is like handling a paper doll (I'd never even joke about taking mine outside).
"Sturdy" is fairly limited - you cannot expect to beat the hell out of something and have it survive; if that's how you carry on, either change your habits or get used to replacing products frequently. In-ears would probably be a much better choice (and since this is almost certainly a mobile use, everyone around you will appreciate that as well; Grados leak quite a bit of sound). I would say that Grados are no worse than "average" if not somewhat above it; Sony's studio headphones are probably on par, and Beyerdynamic models are probably somewhat better. In-ears will survive a lot more, by virtue of being smaller and less complicated (mechanically); you can also put them in a lot of better places, like your pocket. Just something to think about.
Regarding the SR-225; it's a very nice upgrade over the 60/80. I'd say better than the 325 even (not as harsh, not as heavy). For mobile use, I'd avoid all of them - again, no isolation, too much leakage. Get in-ears, or closed cans. If going with closed cans, look at studio models. They'll survive best (and avoid things like the Denon D2000, if you please).
Oh, one thing I forgot to mention - you may consider some of the Koss dynamic headphones, like the Pro4AA, which are reportedly extremely durable (if the ESP/6, 9, and 10 are any indication, they should survive the end of days; if the ESP/950 are any indication, they should survive to the end of the week). They also have a lifetime warranty, but I wouldn't buy them with the intention of abusing that feature (in other words, trashing them once a week/month and sending them back in to get replaced).
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Uh... Well what are some sturdy headphones?
What about the ATH ESW9?