Publications

Journal Publications | Conference Presentations and Proceedings | Invited Seminars | Poster Presentations

Journal Publications

  1. Z. Zhao and X. S. Zhang. "Topology optimization of hard-magnetic soft materials." Journal of the Mechanics and Physics of Solids. Vol. 158, 104628. 2021. Link to Paper

  2. C. Wang, Z. Zhao, M. Zhou, O. Sigmund, and X. S. Zhang. "A comprehensive review of educational articles on structural and multidisciplinary optimization." Structural and Multidisciplinary Optimization. In press. 2021. Link to Paper

  3. Z. Zhao and X. S. Zhang. "Additive manufacturing of topology-optimized graded porous structures: An experimental study." JOM. Vol. 73, No. 7. 2021. Link to Paper

  4. W. Li, F. Wang, O. Sigmund, and X. S. Zhang. "Design of composite structures with programmable elastic responses under finite deformations." Journal of the Mechanics and Physics of Solids. Vol. 151, pp. 104356. 2021. Link to Paper

  5. Z. Zhao and X. S. Zhang. "Design of graded porous bone-like structures via a multi-material topology optimization approach." Structural and Multidisciplinary Optimization. Vol. 64, pp. 677-698. 2021. Link to Paper

  6. X. S. Zhang, H. Chi, and Z. Zhao. "Topology optimization of fiber-reinforced hyperelastic structures under large deformations." Computer Methods in Applied Mechanics and Engineering. Vol. 378, pp. 113496. 2021. Link to Paper

  7. W. Li and X. S. Zhang. "Momentum-based accelerated mirror descent stochastic approximation for robust topology optimization under stochastic loads." International Journal of Numerical Methods in Engineering. Vol. 122, pp. 4431-4457. Link to Paper

  8. X. S. Zhang, W. Li, and Y. Ouyang. "Paved guideway topology optimization for pedestrian traffic under Nash equilibrium." Journal of Structural and Multidisciplinary Optimization. Vol. 63, pp. 1405–1426. 2021. Link to Paper

  9. X. S. Zhang, H. Chi, and G. H. Paulino. "Adaptive multi-material topology optimization with hyperelastic materials under large deformations: A virtual element approach." Computer Methods in Applied Mechanics and Engineering. Vol. 370, pp. 112976. 2020. Link to Paper

  10. X. S. Zhang, E. de Sturler, and A. Shapiro. "Topology optimization with many right-hand sides using mirror descent stochastic approximation—reduction from many to a single sample. " Journal of Applied Mechanics. Vol. 87, No. 5, pp. 051005. 2020. Link to Paper

  11. X. S. Zhang and H. Chi. "Efficient multi-material continuum topology optimization considering hyperelasticity: achieving local feature control through regional constraints. " Mechanics Research Communications. Vol. 105. pp. 103494. 2020. Link to Paper

  12. X. S. Zhang, G. H. Paulino, and A. S. Ramos Jr. "Multi-material topology optimization with multiple volume constraints: A general approach applied to ground structures with material nonlinearity. " Journal of Structural and Multidisciplinary Optimization. Vol. 57, pp. 161-182. 2018. Link to Paper

  13. X. S. Zhang, G. H. Paulino, and A. S. Ramos Jr. "Multi-material topology optimization with multiple volume constraints: Combining the ZPR update with a ground structure algorithm to select a single material per overlapping set. " International Journal of Numerical Methods in Engineering. Vol. 114, pp. 1053–1073, 2018. Link to Paper

  14. X. S. Zhang, E. de Sturler, and G. H. Paulino. "Stochastic sampling for deterministic structural topology optimization with many load cases: Density-based and ground structure approaches. " Computer Methods in Applied Mechanics and Engineering. Vol. 325, pp. 463-487. 2017. Link to Paper

  15. X. S. Zhang, A. S. Ramos Jr., and G. H. Paulino. "Material nonlinear topology optimization using the ground structure method with a discrete filtering scheme." Journal of Structural and Multidisciplinary Optimization. Vol. 55, No. 6, pp. 2045-2072. 2017. Link to Paper

  16. X. S. Zhang, S. Maheshwari, A. Ramos Jr. ,and G. H. Paulino. “Macroelement and Macropatch Approaches for Structural Topology Optimization using a Ground Structure Method.” ASCE Journal of Structural Engineering. Vol. 142, No. 11, pp. 04016090-1 to 14. 2016. Link to Paper

  17. X. S. Zhang, S. Maheshwari, A. Ramos Jr., and G. H. Paulino. “Closure to Macroelement and Macropatch Approaches for Structural Topology Optimization using a Ground Structure Method.” ASCE Journal of Structural Engineering. Vol. 144, No. 10, pp. 07018009-1 to 4. 2018. Link to Paper

Conference Presentations and Proceedings


  1. X. S. Zhang, H. Chi, and G. H. Paulino. “Adaptive multi-material topology optimization with many constraints: A novel approach with material and geometric nonlinearities.” 15th US National Congress on Computational Mechanics, Austin, TX, 2019. (Invited keynote)

  2. X. S. Zhang, E. de Sturler, and G. H. Paulino. “Stochastic Methods for Topology Optimization with Many Load Cases.” ASCE Engineering Mechanics Institute Conference, California Institute of Technology, Pasadena, LA, 2019.

  3. X. S. Zhang, H. Chi, and G. H. Paulino. “Adaptive multi-material topology optimization with material and geometric nonlinearities.” ASCE Engineering Mechanics Institute Conference, California Institute of Technology, Pasadena, LA, 2019.

  4. X. S. Zhang, H. Chi, and G. H. Paulino. “Virtual elements-based multi-material topology optimization with material and geometric nonlinearities.” 13th World Congress of Structural and Multidisciplinary Optimization, Beijing, China, 2019.

  5. X. S. Zhang, E. de Sturler, A. Shapiro, and G.H. Paulino. “Stochastic Methods for Topology Optimization with Many Load Cases.” Sandia National Laboratories Topology Optimization Roundtable, Albuquerque, NM, March 2019.

  6. X. S. Zhang, A. Ramos Jr., and G. H. Paulino. “Multi-Material Topology Optimization with Multiple Constraints: A General Approach with Material Nonlinearity.” Engineering Mechanics Institute Conference 2018, M.I.T., Cambridge, MA, May 2018.

  7. X. S. Zhang, E. de Sturler, and G. H. Paulino. “A Randomized Method for Topology Optimization with Many Load Cases Using Stochastic Sampling.” 10th World Congress on Structural and Multidisciplinary Optimization, Brunswig, Germany, June 2017.

  8. X. S. Zhang, A. Ramos Jr., and G. H. Paulino. “Material Nonlinear Topology Optimization using the Ground Structure Method with a Discrete Filtering Scheme.” Engineering Mechanics Institute International Conference 2017, Rio de Janeiro, Brazil, March 2017.

  9. X. S. Zhang, E. de Sturler, and G. H. Paulino. “A Randomized Method for Topology Optimization with Many Load Cases Using Stochastic Sampling.” Engineering Mechanics Institute International Conference 2017, Rio de Janeiro, Brazil, March 2017.

  10. X. S. Zhang, E. de Sturler, and G. H. Paulino “Stochastic Sampling for Structural Topology Optimization with Many Load Cases: Density-Based and Ground Structure Approaches.” 2017 SIAM Conference on Computational Science and Engineering, Atlanta, GA, March 2017.

  11. K. Swirydowicz, E. De Sturler, W. Tyson, C. Roy, M. E. Kilmer, X. S. Zhang, and G. H. Paulino. "Estimating Matrix Bilinear and Quadratic Forms Using Krylov Subspace Methods with Recycling." 2017 SIAM Conference on Computational Science and Engineering, Atlanta, GA, March 2017.

  12. E. De Sturler, K. Swirydowicz, G. H. Paulino, and X. S. Zhang. "Stochastic Sampling and Quadratic Form Estimation for Topology Optimization with Many Right Hand Sides." Sandia National Laboratories Topology Optimization Roundtable 2017, Atlanta, GA, March 2017.

  13. X. S. Zhang, A. Ramos Jr., and G. H. Paulino. “A Discrete Filter Scheme for Material Nonlinear Topology Design using the Ground Structure Method.” Engineering Mechanics Institute Conference 2016, Nashville, TN, May 2016.

  14. X. S. Zhang, A. Ramos Jr., and G. H. Paulino. “A Ground Structure Approach for Topology Optimization using Macro-Elements and Macro-Patches.” Topology Optimization Ph.D. Advanced Summer School, Lyngby, Denmark, July 2013.

  15. X. S. Zhang, S. Maheshwari, A. Ramos Jr., G. H. Paulino. “Topology design of trusses using a Voronoi-based ground structure method,” 10th World Congress on Structural and Multidisciplinary Optimization, Orlando, FL, May 2013.

Invited Seminars


  1. “Multi-material, multi-constraint, and multi-objective topology optimization: from structural to multidisciplinary engineering”, University of Minnesota, Minneapolis, MN, 2019.

  2. “Topology Optimization with Multiple Materials, Multiple Constraints, and Multiple Load Cases”, Department of Civil Engineering, Tsinghua University, Beijing, China, 2019.

  3. “Achieving Structural Innovation and Resilience through Topology Optimization with Many Objectives, Many Constraints, and Many Materials”, Skidmore, Owings & Merrill LLP (SOM), Chicago, IL, 2019.

  4. “A Primer on Michell's Optimality Conditions”, School of Civil and Environmental Engineering, Georgia Tech, Atlanta, GA, 2019.

  5. “Topology Optimization with Multiple Materials, Multiple Constraints, and Multiple Load Cases”, Department of Civil and Environmental Engineering, Graduate Seminar, UIUC, Urbana, IL, 2019.

  6. “Efficient Topology Optimization Under Many Load Cases Based On Stochastic Sampling.” National Laboratory for Scientific Computing (LNCC), Petropolis, Rio Grande do Sul, Brazil, May 24, 2017.

  7. “Topology Optimization for Hyperelastic Trusses Using a Discrete Filtering Tool.” Civil Engineering Seminar Series, Pontifical Catholic University (PUC), Rio de Janeiro, Brazil, May 23, 2017.

  8. “Stochastic Sampling for Structural Topology Optimization with Many Load Cases.” Structural Engineering and Geomechanics (SEG) Seminar Series, Stanford University, Stanford, CA, November 11, 2016.

  9. “Topology Optimization of Structures and Materials.” Georgia Tech Mathematics and Applications Portal (GT-MAP) Seminar Series, Georgia Tech, Atlanta, GA, September 30, 2016.

  10. “Stochastic Sampling for Structural Topology Optimization with Many Load Cases.” Laboratory of Scientific Computing and Visualization (LCCV), Federal University of Alagoas (UFAL), Maceió, Alagoas, Brazil, July 20, 2016.

  11. “Topology Optimization of Trusses Using the Ground Structure Method: New Techniques for Ground Structure Generation and Topology Resolution Control.” Laboratory of Scientific Computing and Visualization (LCCV), Federal University of Alagoas (UFAL), Maceió, AL, Brazil, July 22, 2015.

  12. “Theory of Optimal Structures: Introduction and Explanations to Michell’s Optimality Conditions” Skidmore, Owings & Merrill LLP (SOM), August 11, 2014.

Poster Presentations

  1. “A Ground Structure Approach for Topology Optimization using Macro-Elements and Macro-Patches.” School of Civil Engineering, Georgia Tech, Atlanta, February 2017.

  2. “Macro-Element and Macro-Patch Approaches for Trusses Topology Optimization Using a Ground Structure Method.” Topology Optimization Ph.D. Advanced Summer School, Lyngby, Denmark, July 2013.