$page = get_page_by_title CONTAINS

Question

You should build a query using the WordPress database class. Place this in your functions.php file

function get_page_by_title_search($string){
    global $wpdb;
    $title = esc_sql($string);
    if(!$title) return;
    $page = $wpdb->get_results("
        SELECT * 
        FROM $wpdb->posts
        WHERE post_title LIKE '%$title%'
        AND post_type="page" 
        AND post_status="publish"
        LIMIT 1
    ");
    return $page;
}

Use this in your theme:

$page = get_page_by_title_search('Foo Bar');
echo $page->post_title;
echo $page->post_content;
//etc...