As far as I know, by using only Docker this is not possible. You need some DNS to map container ip:s to hostnames.
If you want out of the box solution. One solution is to use for example Kontena. It comes with network overlay technology from Weave and this technology is used to create virtual private LAN networks for each service and every service can be reached by service_name.kontena.local-address
.
Here is simple example of Wordpress application's YAML file where Wordpress service connects to MySQL server with wordpress-mysql.kontena.local address:
wordpress:
image: wordpress:4.1
stateful: true
ports:
- 80:80
links:
- mysql:wordpress-mysql
environment:
- WORDPRESS_DB_HOST=wordpress-mysql.kontena.local
- WORDPRESS_DB_PASSWORD=secret
mysql:
image: mariadb:5.5
stateful: true
environment:
- MYSQL_ROOT_PASSWORD=secret