I think you are mis-naming the Corpus-cavernosa corpus meaning body from Latin, cavernosa the word from which we get cavern. They are the two cylinders that lie on top of the third tube that contains the urethra (the tube which urine and sperm exit the penis). The lower tube being the Corpus-spongelium. There are no muscles connected to the cavernosa. However they are the most commonly damaged part of the penis. Any sharp bending can spell perones disease later in life and a lot of pain now.
An injury like this is pretty high risk to your sex life. If I were you I would be making an appointment with a Urologist. Here is a site with some authoratative information if you would like to look.
MedlinePlus: Penis Disorders