The advantage of Ti is its strength/weight, not absolute strength. Steel far surpasses Ti alloy in strength. Ti alloy is frequently used--and mostly used--in aircraft applications, because it is much lighter than steel, and stronger than aluminum. But for knives it's pure hype. People are aware of the high cost of Ti-alloy, so they think it must be better for everything. Well, it's not better for everything. A knife is the last place I would spec Ti-alloy.
Pure Ti has no industrial use I'm aware of.
First of all, Ti-alloy can have many different properties depending on heat treating. There are many companies that do nothing but heat treat Ti-alloy for a given application. Out east there is a factory that heat treats Ti-alloy landing gear. That's it! That's all they do. There are even ANSI and ISO standards covering heat-treeating of aircraft Ti-alloy.
But knives have no call for this type of metal except the hype factor. I'll take steel any time, any day over Ti-alloy in a knife, beccause Ti offers zero advantages and big disadvantages, such as it is much softer than steel. Carbon fiber is the same way. It costs about $7/pound. But knife makers sell it for 100x that, or more, without sound reason. In knife applications steel is always better than carbon fiber.
Carbon fiber is stronger than steel pound for pound, but by volume steel is much stronger, and it's strength is all directions, whereas carbon fiber is only strong in tension. Carbon fiber also bonds better to adhesives. Once again, pure hype. Carbon fiber cost is negligent compared to knife fabrication costs, so it shouldn't add much to the cost of a knife, $7.00/pound to be precise.
Ti-alloy for medical-implant applicatios--the most expensive kind--costs about $30/pound. That would add less than $10 to the cost of a knife with Ti handles. Ti is more difficult to machine, but that is because it fouls the tooling, like aluminum does, not because of its hardness compared to steel.
I'll take a knife with stainless steel parts over Ti or carbon fiber, any time, any day!