Dont think they cause rippling but you might find theyre just not comfortable, since my first op in 2005 I have probably worn a underwire bra three times and each time couldnt wait to get it off. I know some girls take wires out but ive never tried this so not sure how this affects the bra or not. ROYCE lingerie do nonwired everyday wear bras which I swear by just for the comfort and there are some bras which have flexi- underwire might be worth a Google search to see reviews and styles x