The First Book of Ore: The Foundry's Edge by Cameron Baity & Benny Zelkowicz

For Phoebe Plumm, life in affluent Meridian revolves around trading pranks with irksome servant Micah Tanner, and waiting for her world-renowned father, Dr. Jules Plumm, to return home. Chief engineer for The Foundry, a global corporation with an absolute monopoly on metal production and technology, Phoebe's father is often absent for months at a time. But when a sudden and unexpected reunion leads to father and daughter being abducted, Phoebe and would-be rescuer Micah find themselves stranded in a stunning yet volatile world of living metal one that has been ruthlessly plundered by The Foundry for centuries and is the secret source of every comfort and innovation the two refugees have ever known.