Some incorrect advice on this thread that will only extend the eviction process. The notice requirements of texas property code are very detailed and you can lose the eviction case is you miss one detail if the tenant pulls that card (few know, so this only applies if they hire an attorney which is rare)
1. Do not cut utilities or anything like that. That is called a constructive eviction and is a good way to lose a lawsuit and be out a lot of money. It's illegal.
2. You cannot just post on front door like another poster said. If you do that, you must write "important notice" and the address and also mail it. The preferred method is hand deliver or taped to the inside of the door, not the outside. See property code 24.005
3. The steps to eviction is this. Post a 3 day notice to vacate due to breach of lease to the tenant following the notice requirements of texas property code section 24.005. After 3 days, file an eviction suit with the justice of the peace for where the property is located. Pay the filing fee. Then the constable will serve the tenant with the formal court summons. Show up to court and say she did not pay rent (or is holding over or both). The chances of you losing at court are slim unless they get you on technical reasons (mostly that you didn't deliver proper notice for the 3 day). Texas is very landlord friendly (contrary to what other posters have said). Once you win the court case (which the actually trial will last about 12 minutes), the judge will give the tenant some time to move out, usually about 5 days. After the 5 days, if they are not out, you go back to court to file a writ of possession. Then the tenant is served again with a date that their stuff will be moved to the curb without their consent under the watch of the constable. This is rare, most tenants don't let it get to this point. But if it does happen, the constables won't help, they just are present while you move the tenants stuff to the curb.
I run a large property management company and unfortunately, we have to go through this process monthly. From 3 day notice to writ of possession, it takes about 1.5 months. However, it rarely goes that far. Vast majority of tenants are going to move out before the original court date once they get the summons and know it's legit.