He is a Fellow of the US Association for Computational Mechanics, elected Fellow of the American Academy of Arts & Sciences and an elected Member of the US National Academy of Engineering. Professor Ortiz is the recipient of the 2002 IACM International Computational Mechanics Award, the 2007 Ted Belytschko Medal of the USACM, the inaugural 2008 Rodney Hill Prize conferred every four years by the IUTAM, the 2011 Zienkiewicz Prize of the Spanish Association for Numerical Methods in Engineering (SEMNI), the 2015 Timoshenko Medal of the ASME and the 2019 John von Neumann Medal of the USACM.. Professor Ortiz has served in the University of California Office of the President Science and Technology Panel, the Los Alamos National Laboratory T-Division Review Committee, the Lawrence Livermore National Laboratory Predictive Science Panel, the Sandia National Laboratories Engineering Sciences External Review Panel, the Lawrence Livermore National Laboratory Chemistry, Materials, Earth and Life Sciences Directorate Review Committee, the Lawrence Livermore National Laboratory Engineering Directorate Review Committee and the National Research Council Panel for the Evaluation of QMU. He has been editor of the Journal of Engineering Mechanics of ASCE and of the Journal of Applied Mechanics of the ASME and is presently editorial advisor of the Journal of the Mechanics and Physics of Solids and member of the editorial boards of the Archive for Rational Mechanics and Analysis, the International Journal for Numerical Methods in Engineering and of Computer Methods in Applied Mechanics and Engineering Journal.