The trend results from the fact that the software technology industry is populated and driven largely by humans, and thus subject to trends and irrational behavior. To understand what's going on today requires a bit of perspective in the history of databases, and their parallel development with programming languages.
SQL is the IE6 of the database languages world. It breaks many of the rules of the relational model- in other words, it's a little bit like a calculator that performs multiplication incorrectly, and doesn't have a minus operator. SQL is not complete enough to be a real solution. It was never developed beyond the prototype stage, and was never meant to be used in industrial settings. But then it was naively used by oracle, which turned out to be a "killer app", SQL became industry standard instead of its technically superior competitors, and the rest is history. SQL's syntax is based around a set of command line tabular data processing tools, and COBOL. Full of bugs, inconsistencies, and a mishmash proprietary versions and features that don't have a grounding in math or logic, results in a situation where it really is unclear what goes where.
Regarding the recent proliferation of ORMs: misguided and ill thought out attempts to patch over the obvious deficiencies of SQL. Database triggers and procedures are another misfeature trying to patch over SQL's problems.
If history had played out in a logical and orderly way, the answer to this question would be simple: Just follow the rules of the relational model and everything will work itself out. Unfortunately, the rules of the relational model don't fit cleanly into the current crop of SQL based DBMS's, so some application level fiddling, or triggers, or whatever other stupid patch is unfortunately necessary, and it ends up being a matter of subjective opinion, rather than reasoned argument, which stupid hack you use.
So the real answer is to just follow the relational model as close as you can, and then fudge it the rest of the way. Put the logic in the application if you're the only one using the db, and you need to keep all your source code in a version repository. If multiple applications are likely to use the database, make the DB as bullet proof and self sufficient as it can be- The main goal here is to ensure that the data remains consistent.