For your local machine you could use the Oracle Weblogic Server Tools: Open the servers view in Eclipse and click the link to download more server integrations than there are by default. Select the Oracle Weblogic Tools of the same version that your Weblogic Server. You can the add a Web-Project (or EAR-project) to your server.
If you want to deploy to a remote weblogic server have a look at the Oracle Weblogic Maven Plugin that comes with the Weblogic installation.