ICES REPORT 13-20 July 2013 A higher-order phase-field model for brittle fracture: Formulation and analysis within the isogeometric analysis framework by Michael J. Borden, Thomas J.R. Hughes, Chad M. Landis, Clemens V. Verhoosel The Institute for Computational Engineering and Sciences The University of Texas at Austin Austin, Texas 78712 Reference: Michael J. Borden, Thomas J.R. Hughes, Chad M. Landis, Clemens V. Verhoosel, A higher-order phase-field model for brittle fracture: Formulation and analysis within the isogeometric analysis framework, ICES REPORT 13-20, The Institute for Computational Engineering and Sciences, The University of Texas at Austin, July 2013.