In the show I saw on the History Channel, the folks they were using, who were re-enacters at those medeival dinner theatres around the country, were using titanium swords, because steel swords are too likely to shatter and injuring people with their shards.
I saw that show.
[sigh]
Don’t know where to begin.
OK, I do know where to begin, after all. I may not know much yet but one of the first things I learned was that you never intentionally parry edge-on-edge, with any sword. This is the biggest single mistake you'll see made in movies and staged productions. That's what those guys were doing too. And yeah, that's why they'd break swords. Especially if they were using brittle stainless stage props.
Imagine taking two of your best chef's knives... put one on the counter sharp edge up and hit it hard with the edge of another, over and over. What's going to happen? Of course, you're going to have two ruined blades with massive nicks and chips in them. It may not even be fixable. The nicks will create weak spots and it will likely eventually break at one of them. A sword in medieval times cost many months' wages, perhaps like buying a car today. To let that kind of damage happen on purpose is unthinkable.
Instead, what you'd train to do is to parry with the ~flat~ of the blade. Just turn it slightly and meet his edge with your flat. A sword will flex when hit on the flat, like a leaf spring. It gives a little and cushions the blow, plus it is spread across a wide area. You can do this over and over all day without nicking or chipping either one. It may dull a little, but any dulling can easily be resharpened. So simple, yet so often ignored.
This is supported by archaeological evidence. Most ancient swords recovered in digs, if the steel survived at all, tend not to show many nicks or chips in the edges or stress fractures from same.
Titanium would be absurdly light weight and super whippy. It wouldn't handle or feel anything like a real sword. That's just goofy.