This is only my personal site,no need to link to somebody's blog

Modify the drupal file modules/blog/blog.module,find the

function blog_link($type, $node = NULL, $teaser = FALSE) {
$links = array();
if ($type == 'node' && $node->type == 'blog') {
if (arg(0) != 'blog' || arg(1) != $node->uid) {
$links['blog_usernames_blog'] = array(
'title' => t("@username's blog", array('@username' => $node->name)),
'href' => "blog/$node->uid",
'attributes' => array('title' => t("Read @username's latest blog entries.", array('@username' => $node->name)))
...

Comment the 3 lines

// 'title' => t("@username's blog", array('@username' => $node->name)),
// 'href' => "blog/$node->uid",
// 'attributes' => array('title' => t("Read @username's latest blog entries.", array('@username' => $node->name)))

Done.