Short for food-rape. When someone insists that you eat their food, they will basically force you to eat it. If you don't then they will make you feel bad about it.
You go over to a friend's house. Their parents are making their special spinach lasagna. It is fresh out of the oven and you happen to be there to witness its unveiling. Their parents then cut a big old slice and plop it on a plate and place it directly in front of you without your consent. They tell you that it is the best lasagna in the world and they say "just try it" at least 5 or 10 times in different ways. You eat the smallest acceptable bite, and feel like shit afterwords because you knew all along that you didn't want that spinach lasagna. After this experience, you realize that you have been fraped (food-raped).
When a member of a fraternity commits an act of sexual misconduct. This act tends to be less frowned upon than actual rape due to his association with the fraternity.
Example: Damn bro. Did you see Joe frape that girl at the bar last night? So weird!
A partner (usually female) removing coitus from another partner's life (usually male) without his consent because "it's work". But she still holds the male financial hostage to "going to work" because he's "supposed to provide". The problem being removing himself from said situation is problematic due to having children in the relationship and exiting the situation is prohibitively expensive. So, he is financially raped over a long period. While not violent and physically invasive like rape, it is still non consensual. The emotional and financial burden is still brutal, just no one talks about it openly.
She decided sex is not a thing for her anymore but he better go to work because "she has a lifestyle to keep" and it's his job to provide so she decided to "frape" him.