Publications

Book Chapter

  1. G. H. Paulino, H. Chi, C. Talischi, O. Lopez-Pamies. “Extremely large deformation with polygonal and polyhedral elements”, Generalized Barycentric Coordinates in Computer Graphics and Computational Mechanics, Editors: K. Hormann and N. Sukumar, Taylor & Francis, Chapter 12, 2017.

Journal Publications

  1. H. Chi, L. Beirao da Veiga, and G. H. Paulino. “A simple and effective gradient recovery scheme and a posteriori error estimator for the Virtual Element Method (VEM). Computer Methods in Applied Mechanics and Engineering. 2018. DOI: 10.1016/j.cma.2018.08.014
    Available online
  2. H. Chi, D. Ramos, A. S. Ramos Jr., G. H. Paulino. “On Structural Topology Optimization considering Material Nonlinearity: Plane Strain versus Plane Stress Solutions. Advances in Engineering Software. Accepted.
  3. H. Chi, L. Beirao da Veiga, and G. H. Paulino. "Some basic formulations of the Virtual Element Method (VEM) for finite deformations." Computer Methods in Applied Mechanics and Engineering. Vol 318, pp. 148-192. 2017.
    Link to PDF    Most Downloaded Article
  4. H. Chi and G. H. Paulino. "On variational formulations with rigid-body constraints for finite elasticity: Applications to 2D and 3D finite element simulations." Mechanics Research Communications. Special Issue on Multiscale, Multifunctional and Functionally Graded materials. Vol 78, pp. 15-26. 2016.
    Link to PDF
  5. H. Chi, C. Talischi, O. Lopez-Pamies, and G. H. Paulino "A paradigm for higher-order polygonal elements in finite elasticity using a gradient correction scheme." Computer Methods in Applied Mechanics and Engineering. Vol. 306, pp. 216-251. 2016.
    Link to PDF
  6. H. Chi, O. Lopez-Pamies, and G. H. Paulino. "A variational formulation with rigid-body constraints for finite elasticity: theory, finite element implementation, and applications." Computational Mechanics. Vol. 57, pp. 325-338. 2016.
    Link to PDF
  7. H. Chi, C. Talischi, O. Lopez-Pamies, and G. H. Paulino. "Polygonal finite elements for finite elasticity." International Journal of Numerical Methods in Engineering. Vol. 101, pp. 305-328. 2015.
    Link to PDF   Most Cited Papers, 2015-2016
  8. H. Chi, A. Pereira, I. F. M. Menezes, G. H. Paulino. “On 3D topology optimization and the Virtual Element Method (VEM): nodal versus element densities”. Under review.

Conference Presentations and Proceedings

  1. Invited Keynote Presentation: “Nonlinear element without explicit shape functions using a mimetic-inspired approach”, H. Chi, L. Beirao da Veiga, G. H. Paulino, Society of Engineering Science 54th Annual Technical Meeting, Northeastern University, Boston, MA, 2017.

  2. “On the mixed virtual element method (VEM ) for finite deformations”, H. Chi, L. Beirao da Veiga, 14th U.S. National Compress on Computational Mechanics, Montreal, Quebec, Canada, 2017.

  3. “Some basic formulation of the virtual element method (VEM) for finite deformations”, H. Chi, L. Beirao da Veiga, G. H. Paulino, Workshop on Polytopal Elements Methods in Mathematics and Engineering (POEMS), University of Milano-Bicocca, Milan, Italy, 2017.

  4. “Nonlinear elements without explicit shape functions: A mimetic inspired approach”, H. Chi, Symposium of the 28th Annual Robert J. Melosh Medal competition for the best student paper on finite element analysis, Duke University, Durham, NC, 2017.

  5. “Polygonal finite elements for finite elasticity”, H. Chi, C. Talischi, O. Lopez-Pamies, G. H. Paulino. Society of Engineering Science 53rd Annual Technical Meeting, College Park, Maryland, 2016.

  6. “Polygonal finite elements for finite elasticity”, H. Chi, C. Talischi, O. Lopez-Pamies, G. H. Paulino. Engineering Mechanics Institute Conference 2016, Nashville, Tennessee, 2016.

  7. “A variational formulation with rigid-body constraints for finite elasticity”, H. Chi, C. Talischi, O. Lopez-Pamies, G. H. Paulino., 13th US National Congress on Computational Mechanics, San Diego, California, 2015.

  8. “Non-convex homogenization and stability of soft heterogeneous materials via polygonal element”, H. Chi, C. Talischi, O. Lopez-Pamies, G. H. Paulino., 15th Pan-American Congress of Applied Mechanics, Champaign, IL, 2015.

  9. “Polygonal finite elements for finite elasticity”, H. Chi, C. Talischi, O. Lopez-Pamies, G. H. Paulino. Society of Engineering Science 51st Annual Technical Meeting, West Lafayette, Indiana, 2014.

Invited Seminars

  1. “Mimetic-Informed Computational Mechanics: Theory, Method Development and Applications”, Graduate Seminar, Department of Mechanical Engineering, Northwestern University, Evanston, IL, 2018.

  2. “Virtual Element Method (VEM)-Based Topology Optimization: A General Framework”, Laboratory of Scientific Computing and Visualization (LCCV), Federal University of Alagoas, Maceio, AL, Brazil, 2018

  3. “Nonlinear element without explicit shape functions: a mimetic-inspired approach”, National Laboratory for Scientific Computing (LNCC), Petrópolis, RJ, Brazil, 2017.

  4. “Nonlinear element without explicit shape functions: a mimetic-inspired approach”, Department of Mechanical Engineering, Pontifical Catholic University of Rio de Janeiro, Rio de Janeiro, RJ, Brazil, 2017.

Poster Presentations

  1. “Simulating Soft Materials under Extremely Large deformation: A Mimetic-informed Approach”, ”, H. Chi, L. Beirao da Veiga, G. H. Paulino, Soft Matter Forefronts Symposium, Georgia Institute of Technology, Atlanta, GA, 2018

  2. “Nonlinear element without explicit shape function using a mimetic-inspired approach”, H. Chi, L. Beirao da Veiga, G. H. Paulino, Society of Engineering Science 54th Annual Technical Meeting, Northeastern University, Boston, MA, 2017.

  3. “On the mixed virtual element method (VEM ) for finite deformations”, H. Chi, L. Beirao da Veiga, 14th U.S. National Compress on Computational Mechanics, Montreal, Quebec, Canada, 2017.

  4. “A paradigm for higher order mixed polygonal elements for finite elasticity”, H. Chi, C. Talischi, O. Lopez-Pamies, G. H. Paulino. Workshop on Polytopal Elements Methods in Mathematics and Engineering (POEMS), Atlanta, GA, 2015.

  5. “Unraveling soft material behavior through finite deformations”, H. Chi, C. Talischi, O. Lopez-Pamies, G. H. Paulino. Computational Science and Engineering Annual Meeting, Champaign, IL, 2014.

  6. “Stable topology optimization with arbitrary polygons”, H. Chi, G. H. Paulino. Advance school on Topology Optimization, Lyngby, Denmark, 2013.