Yes you are liable to receive text notifications. Try the following (one after the other - only proceed to the next only if you are still not getting the notification)
1. Try rebooting the phone
2. Install LightFlow from Googl Play Store - run the app and go under "SMS" and adjust sounds from there and observe.
3. Also try opening the message app > tap options Options/Menu > Settings > Notifications...).
4. Also you can go to Settings > Applications > Manage Applications > All > Messages and make sure that all available check boxes are checked.
5. Also Settings > Sound > Notifications and make sure that anything but Silent is selecete.
Please do comment should need be.