Is it normal to feel this way when i'm angry

When I feel very angry, I have the urge to want to do harm or cause damage to someone or something valuable in any way possible. People tend to say that when you're angry you should punch something like a pillow or a teddy bear. But that doesn't work for me because the pillow and teddy bear can't suffer, and will not be scarred by my wrath. My feelings want me to either hurt and scar someone emotionally or physically, or damage something of value (such as destroying someone's car or kicking dirt into someone's suit). A lot of the time when I can't hurt someone else I resort to self-harm (such as punching myself or injuring my arm) when this happens (don't worry, I don't make lacerations, usually the worst is bruising).

I remember one time when I was in Italy, something made me really mad and, when I unintentionally (yes, unintentionally and not vandalism) damaged a street vendor's painting it felt good. However, when I was a kid and I smacked a picture of someone in the newspaper, it didn't help.

To repeat, when I get to a certain level of anger, it seems like the only way to quell it is to either hurt/scar someone else or damage something of value. However, given half a day the urges disappear and I return to my normal self.

Is it normal to be sadistic when I'm very mad?