It depends on what you mean by "without using morality".
But primarily, I believe that one of possible ways to approach this, would be to play with their pride. Every person, regardless of what they say, have pride deep down. And thus, you target that - e.g. telling them, that playing a victim and wallowing in self-pity, is the most pathetic way to (not) deal with your problems. It is childish too - a mature individual takes responsibility over his/her actions (or lack there of) and their consequences. Playing a victim is the opposite of that.
This tactic is not designed to just shame people. It's designed to anger them. To raise that fight response. To challenge them.