John A. Mitchell
Computational Multiscale

Computational Multiscale
(505) 844-3435
Sandia National Laboratories, New Mexico
P.O. Box 5800
Albuquerque, NM 87185-1322
Brief Research and Project History
- Nonlinear solver algorithms and implementations for solid mechanics
- Engineering project management
- Technology maturation and assessment
- Constitutive model development (particularly Peridynamics)
- GPU programming
- Inverse problems
- Monte Carlo models for grain growth in metals
- Data analytics applied to metal material microstructures, insitu pyrometry data
- Microstructure effects on dynamic response of additively manufactured metals
Current Activities
My work is at the confluence of engineering mechanics (especially continuum mechanics), materials and data science, mathematics, algorithms development, and software implementations. I am especially interested in bridging the gap between engineering and applied mathematics, and demonstrating and/or developing novel solutions and implementations for emerging problems
- Microstructure effects on dynamic response of materials
- Monte Carlo grain growth modeling of welding and additive manufacturing processes (see SPPARKS)
- Data analytics & machine learning applied to material microstructures
- Peridynamics constitutive model development towards multiscale analysis and upscaling
- Processing and analysis of measured additive manufacturing pyrometer data
Recent Project Work and Activities (See reports/presentations below)
- SPPARKS tutorial
- Micromechanics calculations using Eshelby approach
- Nonlinear kinematics for dielectrics (especially piezoelectric materials)
- Mean curl discretization for 2D nonlinear magnetic diffussion equations
- Vectorization of uniform gradient hexahedron for solid mechanics calculations on a GPU
- Monte Carlo modeling of grain growth associated with weld process for metals
Other Activities and Interests
I’m from Homer Alaska and I like to visit there during the summer for camping/hiking/fishing and visiting with friends. I also like to exercise and at one time was very active in training for triathlons — now I just try to move a bit every day.
Education
- B.S. Ocean Engineering Texas A&M University (1987)
- M.S. Engineering Mechanics Virginia Tech (Advisor: J.N. Reddy, Thesis topic: Finite element formulation and implementation for piezoelectricity) (1992)
- Ph.D. Mechanical Engineering Texas A&M University (Advisor: J.N. Reddy, Thesis topic: Multilevel/hierarchical preconditioning for p-finite elements) (1997)
Publications
Brittany Ann Branch, Timothy Ruggles, John Carter Miers, Caroline Ellen Massey, David G. Moore, Nathan Brown, Sakun Duwal, Stewart A. Silling, John A. Mitchell, Paul Elliott Specht, (2022). Understanding Phase and Interfacial Effects of Spall Fracture in Additively Manufactured Ti-5Al-5V-5Mo-3Cr https://www.osti.gov/search/identifier:1892129 Document ID: 1641897
Theron Rodgers, John A. Mitchell, Aaron Jeffrey Olson, Dan Stefan Bolintineanu, Andrew Vackel, Nathan W. Moore, (2021). Fast Three Dimensional Rules-Based Simulation of Thermal Sprayed Microstructures Computational Materials Science https://www.osti.gov/search/identifier:1781556 Document ID: 1281103
Theron Rodgers, Fadi Abdeljawad, Daniel Moser, Olivia De’Haven Underwood Jackson, Jay D. Carroll, Bradley Howell Jared, Dan Stefan Bolintineanu, John A. Mitchell, Jonathan D Madison, (2021). Simulation of Powder Bed Metal Additive Manufacturing Microstructures with Coupled Finite Difference-Monte Carlo Method Additive Manufacturing https://www.osti.gov/search/identifier:1773289 Document ID: 1280917
Jeremy Trageser, John A. Mitchell, (2020). A Bezier Curve Informed Melt Pool Geometry to Model Additive Manufacturing Microstructures Using SPPARKS https://www.osti.gov/search/identifier:1664647 Document ID: 1196427
Anh Tran, John A. Mitchell, Laura Painton Swiler, Timothy Michael Wildey, (2020). An active learning high-throughput microstructure calibration framework for solving inverse structure-process problems in materials informatics Acta Materialia https://www.osti.gov/search/identifier:1634790 Document ID: 1126840
Gerald Fredrick Lofstead, John A. Mitchell, Enze Chen, (2020). Stitch It Up: Using Progressive Data Storage to Scale Science 34th IEEE International Parallel and Distributed Processing Symposium https://www.osti.gov/search/identifier:1775061 Document ID: 1115562
John A. Mitchell, Thomas Ivanoff, Daryl Dagel, Jonathan D Madison, Bradley Howell Jared, (2019). Linking Pyrometry to Porosity in Additively Manufactured Metals Additive Manufacturing https://www.osti.gov/search/identifier:1595013 Document ID: 1056571
Bradley Howell Jared, Jonathan D Madison, John A. Mitchell, David J. Saiz, Joshua Robert Koepke, Daryl Dagel, Thomas Ivanoff, (2019). Detecting Process Defects in Laser-Powder Bed Fusion American Society for Precision Engineering Annual Meetinng https://www.osti.gov/search/identifier:1643040 Document ID: 1054454
Paul Elliott Specht, John A. Mitchell, David P. Adams, Justin Lee Brown, Stewart A. Silling, Jack L. Wise, Todd Palmer, (2019). Shortening the Design and Certification Cycle for Additively Manufactured Materials by Improved Mesoscale Simulations and Validation Experiments: Fiscal Year 2019 Status Report https://www.osti.gov/search/identifier:1570554 Document ID: 1031600
Thomas Ivanoff, Jonathan D Madison, John A. Mitchell, Daryl Dagel, Bradley Howell Jared, (2019). Correlation of Porosity Defects with In-situ Pyrometry in AM 316L SS Materials Science and Technology Annual Meeting (MS&T 2019) https://www.osti.gov/search/identifier:1642630 Document ID: 1031514
John A. Mitchell, (2019). An Approach to Upscaling SPPARKS Generated Synthetic Microstructures of Additively Manufactured Metals https://www.osti.gov/search/identifier:1568985 Document ID: 1020396
Bradley Howell Jared, John A. Mitchell, Thomas Ivanoff, David J. Saiz, Joshua Robert Koepke, Jonathan D Madison, Laura Swiler, (2019). Defect Detection in Metal Additive Manufacturing Through Application of In-Situ Diagnostics Solid Freeform Fabrication https://www.osti.gov/search/identifier:1641629 Document ID: 998108
John A. Mitchell, Thomas Ivanoff, Daryl Dagel, Bradley Howell Jared, Joshua Robert Koepke, David J. Saiz, Laura Painton Swiler, (2019). Linking pyrometry to porosity in additive manufactured metals Solid Freeform Fabrication Symposium https://www.osti.gov/search/identifier:1641333 Document ID: 996557
Jonathan D Madison, Theron Rodgers, John A. Mitchell, Hojun Lim, Corbett C. Battaile, Kyle N. Karlson, Alyssa Jennifer Skulborstad, Maher Salloum, (2019). Materials Margins Assurance: Incorporating Material Variability in Simulation Tools and Code 5th World Congress on Integrated Computational Materials Engineering (ICME 2019) https://www.osti.gov/search/identifier:1641377 Document ID: 996605
Jonathan D Madison, Thomas Ivanoff, John A. Mitchell, Daryl Dagel, Joshua Robert Koepke, David J. Saiz, Bradley Howell Jared, (2019). High Value Pyrometry-To-Defect Correspondence in Laser Powder Bed Fusion of 316L Stainless Steel Gordon Research Conference on Physical Metallurgy https://www.osti.gov/search/identifier:1641111 Document ID: 985330
Theron Rodgers, Daniel Moser, Fadi F. Abdeljawad, Mario J. Martinez, Kurtis Ross Ford, Bradley Trembacki, Kyle Johnson, John A. Mitchell, Jonathan D Madison, (2019). Calibrated Monte Carlo Models of Microstructure Evolution for Additive Manufacturing TMS 2019 Annual Meeting https://www.osti.gov/search/identifier:1639467 Document ID: 936600
Jonathan D Madison, Daryl Dagel, Thomas Ivanoff, Bradley Howell Jared, Joshua Robert Koepke, John A. Mitchell, David J. Saiz, Laura Painton Swiler, (2019). Defect Signatures for Metal Laser Powder-Bed Fusion Tms 2019 https://www.osti.gov/search/identifier:1639421 Document ID: 936366
Bradley Howell Jared, Jonathan D Madison, Thomas Ivanoff, Laura Painton Swiler, David J. Saiz, Daryl Dagel, John A. Mitchell, Joshua Robert Koepke, (2019). Defect Detection in Metal Additive Manufacturing Through Application of In-Situ Diagnostics Tms https://www.osti.gov/search/identifier:1639391 Document ID: 936508
John A. Mitchell, Thomas Ivanoff, Jonathan D Madison, Daryl Dagel, Bradley Howell Jared, (2019). Linking in-situ pyrometry to pores TMS2019148th Annual Meeting and Exhibition https://www.osti.gov/search/identifier:1639339 Document ID: 936361
Paul Elliott Specht, David P. Adams, Stewart A. Silling, John A. Mitchell, Corbett C. Battaile, Justin Lee Brown, Jack L. Wise, Donald Brown, Todd Palmer, Joseph R. Michael, Michael P. Saavedra, (2019). Shortening the Design and Certification Cycle for Additively Manufactured Materials by Improved Mesoscale Simulations and Validation Experiments Stewardship Science Academic Programs (SSAP) Symposium https://www.osti.gov/search/identifier:1598928 Document ID: 913766
Gerald Fredrick Lofstead, John A. Mitchell, (2018). Lazy, Minimal, Eventually Consistent IO with Stitch Pdsw-discs https://www.osti.gov/search/identifier:1592373 Document ID: 888914
Thomas Ivanoff, Jonathan D Madison, Joshua Robert Koepke, Erich Swaller, Bradley Howell Jared, John A. Mitchell, Laura Painton Swiler, (2018). 3D Registration of Structure, Melt Pool History and Design in AM 316L Stainless Steel Materials Science and Technology 2018 Document ID: 877526
Paul Elliott Specht, David P. Adams, John A. Mitchell, Stewart A. Silling, Justin Lee Brown, Jack L. Wise, Donald (LANL) Brown, Todd (PSU) Palmer, (2018). Response of Wrought and Additively Manufactured 304L Stainless Steel Under High Pressure, High Strain-Rate Loading Jowog 32 Mat https://www.osti.gov/search/identifier:1806931 Document ID: 877335
John A. Mitchell, (2018). Clustering to upscale microstructure morphologies Multiscale Material Modeling https://www.osti.gov/search/identifier:1806930 Document ID: 877013
Thomas Ivanoff, Jonathan D Madison, Joshua Robert Koepke, Bradley Howell Jared, John A. Mitchell, Laura Painton Swiler, (2018). 3D Characterization of Porosity in AM 316L SS and its Effect on Mechanical Behavior Solid Freeform Fabrication Symposium https://www.osti.gov/search/identifier:1806770 Document ID: 842869
Thomas Ivanoff, Jonathan D Madison, Joshua Robert Koepke, Bradley Howell Jared, John A. Mitchell, Laura Painton Swiler, (2018). 3D Characterization of Porosity in AM 316L SS and its Effect on Mechanical Behavior Solid Freeform Fabrication Symposium https://www.osti.gov/search/identifier:1582148 Document ID: 842657
Theron Rodgers, Daniel Moser, John A. Mitchell, Fadi F. Abdeljawad, Mario J. Martinez, Kyle Johnson, Jonathan D Madison, (2018). Powder Bed Modeling Big and Small: Simulating Microstructural Evolution from a Single Bead to (Closer to) the Part Scale Solid Freeform Fabrication Symposium 2018 https://www.osti.gov/search/identifier:1582157 Document ID: 842720
Bradley Howell Jared, Jonathan D Madison, Thomas Ivanoff, John A. Mitchell, Erich James Schwaller, Joshua Robert Koepke, David J. Saiz, Daryl Dagel, Harlan James Brown-Shaklee, Laura Painton Swiler, (2018). Defect Signatures for Metal Laser Powder Bed Fusion Solid Freeform Fabrication https://www.osti.gov/search/identifier:1581712 Document ID: 842694
John A. Mitchell, (2018). Towards upscaling microstructural effects using data analytics WCCM 201813th World Congress on Computational Mechanics https://www.osti.gov/search/identifier:1806536 Document ID: 831101
Theron Rodgers, John A. Mitchell, Jonathan D Madison, (2018). Monte Carlo Simulation of Polycrystalline Additive Manufacturing Microstructures Society for Industrial and Applied Mathematics Mathematical Aspects of Materials Science Document ID: 830226
Sophia Lefantzi, Dan Stefan Bolintineanu, Jeremy B. Lechman, Jonathan D Madison, Mario J. Martinez, John A. Mitchell, Daniel Moser, David R. Noble, Theron Rodgers, (2018). Toward Validated Multiscale, Multiphysics Modeling for Additive Manufacturing Processes DOE AM Workshop https://www.osti.gov/search/identifier:1515726 Document ID: 807226
John A. Mitchell, (2018). A local/nonlocal plasticity model for upscaling microstructural effects Multiscale Material Modeling https://www.osti.gov/search/identifier:1505276 Document ID: 783754
Bradley Howell Jared, Joshua Robert Koepke, David J. Saiz, Laura Painton Swiler, John A. Mitchell, Jonathan D Madison, Thomas Ivanoff, Kevin Webb, Jeffrey Rodelas, Erich James Schwaller, (2018). Defect Signatures for Metal Laser Powder Bed Fusion Tms 2018 https://www.osti.gov/search/identifier:1501973 Document ID: 772466
Uzoma Onunkwo, Anand Ganti, John A. Mitchell, Michael Patrick Scoggin, Richard C. Schroeppel, Brian P. Van Leeuwen, Michael Wolf, (2017). High Fidelity Simulations of Large-scale Wireless Networks (Part II – FY2017) https://www.osti.gov/search/identifier:1489863 Document ID: 703904
Theron Rodgers, John A. Mitchell, Veena Tikare, (2017). A Monte Carlo model for 3D grain evolution during welding Modelling and Simulation in Materials Science and Engineering https://www.osti.gov/search/identifier:1374751 Document ID: 637938
Theron Rodgers, Kyle Johnson, Judith Alice Brown, Fadi F. Abdeljawad, Jonathan D Madison, John A. Mitchell, Veena Tikare, (2017). Modeling Microstructure Evolution During Metal Additive Manufacturing Gordon Research Symposium on Physical Metallurgy https://www.osti.gov/search/identifier:1508469 Document ID: 638407
Theron Rodgers, Jonathan D Madison, John A. Mitchell, Veena Tikare, (2017). Numerical Simulation Of Microstructural Evolution During Additive Manufacturing Of Metals Computational Mechanics of Particle-Functionalized Fluid and Solid Materials for Additive Manufacturing and 3D Printing Processes https://www.osti.gov/search/identifier:1458098 Document ID: 625113
John A. Mitchell, (2017). Grain Growth Modeling and Novel Data Analytics for Weld Process 2017 SIAM Conference on Computational Science and Engineering https://www.osti.gov/search/identifier:1425305 Document ID: 589156
John A. Mitchell, Stewart A. Silling, David John Littlewood, (2016). A Position-Aware Linear Solid Constitutive Model for Peridynamics Journal of Mechanics of Materials and Structures https://www.osti.gov/search/identifier:1338382 Document ID: 565591
Andrew R. Castillo, John A. Mitchell, Stephen D Bond, (2016). Using and Developing Novel Data Analytics for Digitalized Microstructures https://www.osti.gov/search/identifier:1762013 Document ID: 553983
John A. Mitchell, (2016). Potts model for grain growth during welding using SPPARKS 8th International Conference on Multiscale Materials Modeling https://www.osti.gov/search/identifier:1397119 Document ID: 530336
John A. Mitchell, (2016). Novel Applica,on of Po0s Model for Grain Growth During Welding using SPPARKS 2016 SIAM Conference on Mathematical Aspects of Materials Science https://www.osti.gov/search/identifier:1365319 Document ID: 442351
John A. Mitchell, (2015). Ordinary, Isotropic Constitutive Models for Peridynamics Nonlocal Models in Mathematics, Computation, Science, and Engineering https://www.osti.gov/search/identifier:1506748 Document ID: 343294
John A. Mitchell, Veena Tikare, Philippe F Weck, (2015). Towards Using Eshelby Calculations to Enhance Kinetic Model for Zirconium Hydride Precipitation https://www.osti.gov/search/identifier:1504854 Document ID: 341675
David John Littlewood, Stewart A. Silling, John A. Mitchell, Pablo D. (ORNL) Seleson, Stephen D Bond, Michael L. Parks, Daniel Z. Turner, Damon J. Burnett, Jakob Ostien, Max (FSU) Gunzburger, (2015). Strong Local-Nonlocal Coupling for Integrated Fracture Modeling https://www.osti.gov/search/identifier:1221526 Document ID: 321749
Philippe F Weck, Eunja Kim, Veena Tikare, John A. Mitchell, (2015). Mechanical properties of zirconium alloys and zirconium hydrides predicted from density functional perturbation theory CrystEngComm https://www.osti.gov/search/identifier:1259850 Document ID: 319842
David John Littlewood, Stewart A. Silling, Pablo Seleson, John A. Mitchell, (2015). Coupling Approaches for Integrating Meshfree Peridynamic Models with Classical Finite Element Analysis 13th US National Congress on Computational Mechanics https://www.osti.gov/search/identifier:1339330 Document ID: 318790
John A. Mitchell, (2015). Ordinary Isotropic Peridynamic Models: Position Aware Viscoelastic(PAVE) 1st Pan-american Congress on Computational Mechanics https://www.osti.gov/search/identifier:1249043 Document ID: 264574
John A. Mitchell, Veena Tikare, (2015). Numerical Simulation of Ni Grain Growth in a Thermal Gradient SIAM Conference on Computational Science and Engineering https://www.osti.gov/search/identifier:1246844 Document ID: 232419
Andrew David Baczewski, Adam (UW Madison) Frees, John King Gamble, Xujiao Gao, Noah Tobias Jacobson, John A. Mitchell, Ines Montano, Richard P. Muller, Erik Nielsen, (2015). Device-Level Models Using Multi-Valley Effective Mass APS March Meeting 2015 https://www.osti.gov/search/identifier:1240116 Document ID: 221886
Richard P. Muller, John B. Aidun, Andrew David Baczewski, Xujiao Gao, Tzvetan S. Metodi, John A. Mitchell, Jonathan David Sterk, John King Gamble, Robin J Blume-Kohout, Noah Tobias Jacobson, (2015). Silicon Qubits By Design Quantum Noise and Model Reduction Workshop https://www.osti.gov/search/identifier:1244872 Document ID: 220023
John A. Mitchell, Veena Tikare, (2014). Numerical Simulation of Ni Grain Growth in a Thermal Gradient SIAM Conference on Computational Science and Engineering https://www.osti.gov/search/identifier:1315397 Document ID: 219380
John A. Mitchell, (2014). Peridynamics, Ordinary Isotropic Plasticity Model ASME 2014 International Mechanical Engineering Congress & Exposition https://www.osti.gov/search/identifier:1367575 Document ID: 208461
David John Littlewood, Stewart A. Silling, Pablo D Seleson, John A. Mitchell, (2014). Integrating Meshfree Peridynamic Models with Classical Finite Element Analysis Meshfree Methods for Large-Scale Computational Science and Engineering https://www.osti.gov/search/identifier:1242046 Document ID: 197538
John A. Mitchell, Stewart A. Silling, David John Littlewood, (2014). A Position-Aware Linear Solid Constitutive Model for Peridynamics Journal of Mechanics of Materials and Structures https://www.osti.gov/search/identifier:1497668 Document ID: 176523
David John Littlewood, Michael L. Parks, John A. Mitchell, Stewart A. Silling, (2013). The Peridigm Framework for Peridynamic Simulations U.S. National Congress on Computational Mechanics https://www.osti.gov/search/identifier:1106141 Document ID: 5325229
David John Littlewood, Michael L. Parks, John A. Mitchell, Stewart A. Silling, (2013). The Peridigm Framework for Peridynamic Simulations U.S. National Congress on Computational Mechanics https://www.osti.gov/search/identifier:1062955 Document ID: 5318561
Michael L. Parks, David John Littlewood, John A. Mitchell, Stewart A. Silling, (2012). Peridigm Users Guide v1.0.0 https://www.osti.gov/search/identifier:1055619 Document ID: 5313055
Michael L. Parks, David John Littlewood, Andrew G. Salinger, John A. Mitchell, (2011). Peridigm Summary Report: Lessons Learned in Development with Agile Components https://www.osti.gov/search/identifier:1029829 Document ID: 5299879
Jonathan W. Wittwer, Michael Baker, John A. Mitchell, David Epp, Rebecca C. Clemens, Matthew Robert Brake, Jeremy A. Walraven, (2008). The Sandia MEMS Passive Shock Sensor: FY08 Design Summary https://www.osti.gov/search/identifier:945193 Document ID: 5265772
David Epp, Jill Blecke, Matthew Robert Brake, Michael Baker, Jonathan W. Wittwer, Rebecca C. Clemens, John A. Mitchell, Jeremy A. Walraven, (2008). The Sandia MEMS Passive Shock Sensor: FY08 Testing for Functionality, Model Velidation, and Technology Readiness https://www.osti.gov/search/identifier:943322 Document ID: 5265663
Jeremy A. Walraven, Michael Baker, Jonathan W. Wittwer, David Epp, Matthew Robert Brake, Rebecca C. Clemens, John A. Mitchell, (2008). The Sandia MEMS Passive Shock Sensor: FY08 Failure Analysis Activities https://www.osti.gov/search/identifier:939847 Document ID: 5264244
Michael Baker, John A. Mitchell, David Epp, (2008). MEMS Passive Latching Mechanical Shock Sensor Idetc 2008 https://www.osti.gov/search/identifier:1143218 Document ID: 5264112
Mary Anna McWherter-Payne, Michael Baker, Jason R. Brown, Blake E. Jakaboski, John A. Mitchell, Steven M. Thornberg, Richard W. Wavrik, MICHAEL I. WHITE, (2007). Impact of Die Adhesives on MEMS Reliability Components for military and space electronics https://www.osti.gov/search/identifier:1146318 Document ID: 5258390
David Epp, John A. Mitchell, Hartono Sumali, Jonathan W. Wittwer, (2007). Measuring Eddy Current Damping of a Meso-Scale Spring-Mass Structure International Modal Analysis Conference https://www.osti.gov/search/identifier:902585 Document ID: 5239253
Jonathan S. Custer, John A. Mitchell, (2006). On the Integration of Technology Readiness Levels at Sandia National Laboratories https://www.osti.gov/search/identifier:893160 Document ID: 5245976
Dwayne L. Knirk, John A. Mitchell, (2002). On the Treatment of Multiple Contact Constraints at a Node in an Explicit Enforcement Algorithm WCCM V – Fifth World Congress on Computational Mechanics https://www.osti.gov/search/identifier:893160 Document ID: 4290900
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