I'm working in chemical engineering field and being mathematician and programmer I'm conducting simulations and mathematical modeling problem solving. Basically the battery processes simulations. There is a problem with my chemists colleagues who can't really help in theory regarding the processes inside of batteries that needs to be modeled. The question is, is it my responsibility to learn chemistry, electrochemistry etc in order to be able to build the math model of the processes by myself not relying on chemists? What is the general practice in this case in the world? Or do people in other research groups and/or universities hire mathematician-chemists specialists for this purpose?
I'm kind of being blamed for making slow progress and I feel like I don't fit into this group as not knowing chemistry field. Publications though can be made using commercial software but ideally I want to be able to build the model of the battery without relying on other software that does it for you, as it is introducing some restrictions.
There are two aspects to your situation.
First, there's the working relationship. If fingers are getting pointed, or if you're getting the feeling that there might be, that is a red flag. I can't say whether your comment is a reflection of natural anxiety or whether the people you're trying to work with are not as supportive as one would like. But this is something for you to think about. Your own well-being is an important factor in any working relationship and I am glad to see some indications in your Question that you are taking this seriously.
Second is what you explicitly asked about. If you enjoy mathematical modeling, it is wise to give careful attention to the choice of application area. Is this field something you have a natural interest in? Do you enjoy delving into this application area? Perhaps this would be a good time for you to do some brainstorming and jot down two lists of application areas, those that appeal to you naturally, and those that don't.
It may be that this is not the right field of application for you. Or maybe it is, but you'd benefit from working with more collaborative or better prepared colleagues. Or maybe you need to assert yourself more with these people, and have more frequent conversations with them about the underlying science you would like to model.
Perhaps that last sentence gives you a place to start. As those conversations take place, the rest may become clear.