I may be wrong, but I don't seem to have come across the term 'weak definite article' in English linguistics though I think I've encountered it in German or French linguistics. (I've read 'weak definites, referring to noun phrases with definite articles that does not allow you to uniquely identify the referents, but not 'weak definite articles' in English linguistics)
Is it not used? Or, is it just me and my lack of experience? Any and all thoughts would be welcome.