yes, often. This comes up all the time in tissue mechanics, because continuum mechanics turns out to be quite useful for studying the mechanical properties of soft tissue.
In that case I think you can easily see my point. Numerical computing has done pretty well since the fifties using just "multidimensional arrays".
[Edit: You may care about vector algebra but 99.999% of the users of numerical arrays do not. I just think that the proper term in a general discussion about data structures in numerical computing like the one here is “array”.]
[Edit2: in case you’re really not familiar with the abuse of the term, people do now often use the word tensor to talk about multidimensional arrays that have nothing to do with the mathematical entity called tensor. And I don’t think either matlab or python pretend that they have tensors.]
That's my point. Have you ever used a proper tensor? I mean, the mathematical entity: https://en.wikipedia.org/wiki/Tensor