Our Kubernetes 1.6 cluster had certificates generated when the cluster was built on April 13th, 2017.
On December 13th, 2017, our cluster was upgraded to version 1.8
On k8s 1.7 I faced a similar problem (x509 expired error included inside /var/log/kube-apiserver.log) and could not find any certificate expired. We decided to restart only the apiserver docker on the master node. It resolved the problem.
$ sudo docker ps -a | grep apiserver
af99f816c7ec gcr.io/google_containers/kube-apiserver@sha256:53b987e5a2932bdaff88497081b488e3b56af5b6a14891895b08703129477d85 "/bin/sh -c '/usr/loc" 15 months ago Up 19 hours k8s_kube-apiserver_kube-apiserver-ip-xxxxxc_0
40f3a18050c3 gcr.io/google_containers/pause-amd64:3.0 "/pause" 15 months ago Up 15 months k8s_POD_kube-apiserver-ip-xxxc_0
$ sudo docker restart af99f816c7ec
af99f816c7ec
$