- Guilkey, J.E., Lander, R. & Bonnell, L. (2021). A Hybrid Penalty and Grid Based Contact Method for the Material Point Method. Computer Methods in Applied Mechanics and Engineering. Vol. 379.
- Tran, Q.A. & Solowski, W., Berzins, M., Guilkey, J. (2019). A Convected Particle Least Square Interpolation Material Point Method. International Journal for Numerical Methods in Engineering. Published, 10/23/2019.
- Leavy, R.B. & Guilkey, J.E., Phung, B.R., Spear, A.D., Brannon, R.M. (2019). A Convected-Particle Tetrahedron Interpolation Technique in the Material-Point Method for the Mesoscale Modeling of Ceramics. Computational Mechanics. Published, 02/04/2019.
- Micheal Homel (2017). Mesoscale Validation of the Effective Stress Approach for Modeling the Plastic Deformation of Fluid-Saturated Porous Material. J. Dynamic Behavior of Materials. Vol. 1. Published, 01/2017.
- Homel, M.A., Brannon, R.M., Guilkey, J., “Controlled Numerical Fracture in the Material Point Method (MPM) with Convective Particle Domain Interpolation (CPDI) Domain Scaling”, Int. J. Numerical Methods in Engineering, DOI: 10.1002/nme.5151, 2015. Published, 12/2015.
- Homel, M.A., Guilkey, J., Brannon, R.M., “Continuum Effective-Stress Approach for High-Rate Plastic Deformation of Fluid-Saturated Geomaterials with Application to Shaped-Charge Jet Penetration”, 227, 279-310, Acta Mechanica, 2015. Published, 12/2015.
- Homel, M.A., Guilkey, J., Brannon, R.M., “Numerical Solution for Plasticity Models using Consistency Bisection and a Transformed-Space Closest-Point Return”, Computational Mechanics, 56, 565-584, 2015. Published, 12/2015.
- Edgar LT, Maas SA, Guilkey JE & Weiss JA (2015). A coupled model of neovessel growth and matrix mechanics describes and predicts angiogenesis in vitro. Biomechanics and modeling in mechanobiology. Vol. 14, 767-82. Published, 07/01/2015.
- Nairn, J.A., Guilkey, J.E., "Axisymmetric Form of the Generalized Interpolation Material Point Method", Computer Methods in Applied Mechanics and Engineering, 101, 127-147, 2015. Published, 01/13/2015.
- Edgar LT, Maas SA, Guilkey JE, Weiss JA, “A coupled model of neovessel growth and matrix mechanics describes and predicts angiogenesis in vitro”, Biomech Model Mechanobiol 2014 Nov 28. Published, 11/28/2014.
- Edgar, L.T., Underwood, C.J., Guilkey, J.E., Weiss, J.A., “Extracellular matrix density regulates the rate of neovessel growth and branching in sprouting angiogenesis”, PLOS One 9 (1), 2014. Published, 01/2014.
- Burghardt J., R. Brannon, and J. Guilkey. A nonlocal plasticity formulation for the material point method, Computer Methods in Applied Mechanics and Engineering, 225-228, 55-64, 2012. Published, 03/07/2012.
- Wallstedt, P.C., Guilkey, J.E., “A weighted least squares particle-in-cell method for solid mechanics”, Int. J. Num. Meth. Eng., 85, 13, 1687-1704, 2010. Published, 09/2010.
- Imroz Choudhury, A.N.M., Steffen, M.D., Guilkey, J.E., Parker, S.G., “Enhanced Understanding of Particle Simulations Through Deformation-Based Visualization”, Computer Modeling in Engineering and Sciences”, 63, 2010. Published, 08/2010.
- H. Yuan, Lee, J.H., Guilkey, J.E., “Stochastic reconstruction of the microstructure of equilibrium form snow and computation of effective elastic properties”, Journal of Glaciology, 56, 2010. Published, 03/2010.
- Thomas, S., Ameel, T., Guilkey, J., "Mixing Kinematics of Moderate Reynolds Number Flows in a T-Channel", Physics of Fluids, 22, 1, 2010. Published, 2010.
- Wallstedt, P.C., Guilkey, J.E., “An evaluation of explicit time integration schemes for use with the generalized interpolation material point method”, J. Comp. Phys., 227, 9628-9642, 2008. Published, 2008.
- M. Steffen, P.C. Wallstedt, J.E. Guilkey, R.M. Kirby, and M. Berzins, “Examination and Analysis of Implementation Choices within the Material Point Method (MPM)”, Computer Modeling in Engineering and Sciences, 31, 107-127, 2008. Published, 2008.
I develop computational methods that are applicable to a wide variety of mechanical phenomenon, but most specifically high rate mechanics, fluid structure interaction and explosive engineering. These and other applications drive the capabilities of my software to be able to model physical phenomena that may not be available in other software. The framework in which I develop my software, Uintah, is open source and has been designed and continues to be developed to run on the largest super computers in the world.
This combination of computational power and leading edge algorithm development enable my co-workers and I to solve a broad range of interesting scientific and engineering problems.
- Parallel and Distributed Computing
- Meshless Methods
- Fluid Structure Interaction
- Explosives Engineering
- Computational Mechanics
- “Uintah-MPM Training”, Virginia Tech University, September 11, 2019. Invited Talk/Keynote, Presented, 09/11/2019.
- Guilkey, J. Lander, R, Bonnell, L., , An Alternative Contact Method for Small Deformation MPM Simulations, Presentation at the 11th MPM Workshop, Virginia Tech, September, 2019. Other, Presented, 09/09/2019.
- “Uintah-MPM, Features and Capabilities”, Army Research Laboratory, May 14, 2019. Invited Talk/Keynote, Presented, 05/14/2019.
- “Cyberstone: A Material Point Method Based Approach to Diagenesis”, Johns Hopkins University, March 1, 2019. Invited Talk/Keynote, Presented, 03/01/2019.
- "On Particle Splitting in the Material Point Method", 9th MPM Workshop, Portland, Oregon. Other, Presented, 09/08/2016.
- A description of the Material Point Method and a progress report on ongoing research. Invited Talk/Keynote, Presented, 07/13/2015.
- Uintah. Uintah is a framework for solving PDEs on massively parallel supercomputers. I have long been the primary contributor and custodian of the Material Point Method (MPM) component of this software. Uintah is in use by several departments at the UofU, numerous other institutions across the country and around the world. It is currently available on GitHub. Release Date: 02/18/2020.
- Uintah. Uintah is a framework for solving PDEs on massively parallel supercomputers. I have long been the primary contributor and custodian of the Material Point Method (MPM) component of this software. United is in use by several departments at the UofU, numerous other institutions across the country and around the world. I field questions approximately weekly from users in other Universities or Research labs in France, Switzerland, Norway and Australia, to name a few. Release Date: 12/2016. Inventors: Current Developers Justin Luitjens, John Schmidt, Alan Humphrey, J. Davison de St. Germain, Todd Harman, Jim Guilkey, Charles Reid, Dan Hinckley, Jeff Burghardt, John M. Schreiner, Joseph Peterson, Jeremy Nicholas Thornock, Brian Leavy, Qingyu Meng, Jennifer Spinti, Chuck Wight, Jeremy Nicholas, Jonah Lee, Julien Pedel, Diem-Phuong Nguyen, Isaac Hunsaker, Tony Saad, James Sutherland Past Developers Steve Parker, Bryan Worthen, Wayne Witzel, John McQuordale, Andrew Brydon, S. Ambalavanan, Yi Amy Xia, Angela Nay, Anup Bhawalkar, Biswajit Banerjee, Scott Bardenhagen, James Bigler, Stanislav Borodai, Carson Brownlee, David Groulx, Gautham Krishnamoort, Patrick Hu, Mark Hartner, Randy N Jones, Kurt Zimmerman, Oren Livne, Rajesh Rawat, Steve Brown, Seshadri Kumar, Siddharth Shankar, Wing Yee, Changwei Xiong, Xiaojing Paula Sun, Yajun Guo. Distribution List: Software and Documentation available for Download at: http://www.uintah.utah.edu/.
- Uintah. Massively Parallel code for fluid mechanics, solid mechanics and fluid structure interaction I added 11,414 lines of code to what started out as ~600,000 lines at the beginning of 2010. Release Date: 12/06/2010. Inventors: Multiple. Distribution List: Schlumberger Technology Corporation Novatek University of Newcastle.
- Uintah. Computational Framework for Massively Parallel Solution of PDEs. Components for solid and fluid mechanics and fluid structure interaction. Release Date: 08/21/2009. Inventors: Steve Parker, Todd Harman, John Schmidt, Justin Luitjens, Dav de St. Germain, James Guilkey, et al. Distribution List: Software and Documentation available for Download at: http://www.uintah.utah.edu/.
- Uintah. Uintah is a framework for solving partial differential equations on massively parallel computers. Release Date: 01/01/2008. Inventors: Investigators in the Center for the Simulation of Accidental Fires and Explosions. Distribution List: Uintah is available for download at anytime, and records aren't kept of who downloads the code, but there are a handful of serious users.