If you don't want to either receive or send messages on your iPad, sign it out of iMessage.
If you want to have separate message strings (separate identities) for your iPad and your iPhone, you should be able to use Settings > Messages > Send & Receive (both halves) to set that up. The phone number must be enabled (checked) on the iPhone, but you can uncheck your Apple ID (email address) on the phone, then check only the Apple ID on the iPad. That way, people will see your phone by its phone number and your iPad by your Apple ID.
I should warn you that people with whom you have conversed by iMessage in the past may become confused if you suddenly change identifiers, and you may not be able to predict which one of your devices they will address in the future.