Is this a production/sandbox WebSphere environment, or is this a
Test Environment embedded in Rational Application Developer?
The log files should show some information about trying to load the project, and then, after some type of problem, unloading of the application.
Sometimes another application might have some type of conflict, especially if you've renamed the war but have not changed any context-root paths or anything like that.
How are you performing the deployment? Are you using a JACL or Python script, or are you doing a manual deploy to the WebSphere Application Server?
-Cameron McKenzie