Erudit is a Quebec database containing articles and other sources (e.g. dissertations and theses) in French and some in English, much of which is available for free.
Enter your search terms in the boxes and, if you need only scholarly articles, select "Articles savants" (scholarly articles) before clicking on "Rechercher". (Note: "Comptes rendus" is book reviews; uncheck the corresponding box if you don't want them.)
After you get the results, choose "Langue" under "Filtres" (on the left hand side of the page). Select "Français" and then click "Filter". The results list will reload with only the French articles.