Michael Borden

Assistant Professor

Dr. Borden is interested in computational mechanics and isogeometric analysis with an emphasis on developing efficient numerical methods and computational models to predict complex material behavior.

Prior to pursuing a PhD, Dr. Borden worked for five years as a computational scientist at Sandia National Laboratories, where he developed high-performance computational tools for engineering analysis and design.

Education

Ph.D. 2012

Computational Science, Engineering, and Math

The University of Texas at Austin

M.S. 2009

Computational and Applied Mathematics

The University of Texas at Austin

M.S. 2002

Civil Engineering

Brigham Young University

B.S. 2002

Civil and Environmental Engineering

Brigham Young University

Research Description

Dr. Borden's research focuses on developing computational methods at the intersection of computational geometry and engineering analysis that enable more efficient simulations of complex material and structural processes. His research provides methods that facilitate the transfer of computer aided design (CAD) descriptions to analysis software. He also develops numerical tools for the prediction of failure modes in complex three-dimensional structures. He will apply these methods to develop predictive computational models that allow engineers to design and study advanced materials and complex structures.

Publications

A phase-field formulation for fracture in ductile materials: Finite deformation balance law derivation, plastic degradation, and stress triaxiality effects (vol 312, pg 130, 2016)
Borden, M. J., Hughes, T. J. R., Landis, C. M., Anvari, A., & Lee, I. J. (2017, September 1), COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, Vol. 324, pp. 712–713. https://doi.org/10.1016/j.cma.2017.06.023
A phase-field formulation for fracture in ductile materials: Finite defonnation balance law derivation, plastic degradation, and stress triaxiality effects
Borden, M. J., Hughes, T. J. R., Landis, C. M., Anvari, A., & Lee, I. J. (2016), COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 312, 130–166. https://doi.org/10.1016/j.cma.2016.09.005
Isogeometric collocation for phase-field fracture models
Schillinger, D., Borden, M. J., & Stolarski, H. K. (2015), COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 284, 583–610. https://doi.org/10.1016/j.cma.2014.09.032

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Grants

Innovative Multi-scale/Multi-physics based Tool for Predicting Fatigue Crack Initiation and Propagation in Aircraft Structural Components using Phase Field Model Technique
US Dept. of Defense (DOD)(6/01/16 - 12/31/16)