I agree with NivagSwerdna, It one of those with a built in element, non replaceable. Maybe when scoping out your new one, you can look for one with a replaceable element.
I had a similar problem the other year, got a nice new kettle, and it lasted 8 months, same type of element. I was so annoyed that I had to replace the whole thing.
On another note, what I do now is look at the warranty too, many of these that die quick only have a 1 year warranty. So when shopping for a replacement, try and go for one with a 2 or 3 year warranty. There's a better chance of it being built better, of the manufacturer will stand behind their product.