This one will 'reset' eth0:
> # /etc/sysconfig/network-scripts/ifdown eth0
> # /etc/sysconfig/network-scripts/ifup eth0
This one will 'reset' both NICs:
> # /etc/rc.d/init.d/network restart
I would try the former and then, if it doesn't work, the latter. I had similar problems on my public NIC (I can't remember if it's eth0 or eth1). Since it was for a home network, I just rebooted the machine. When I upgraded to the latest version, I backed up the server, did a fresh install and restored the backup. After that, I haven't had a single problem. You might also want to ensure that all available updates have been applied. You never know; the fix could be in there.
BB