Neofytou, A., Huang, T. H., Kambampati, S., Picelli, R., Chen, J. S., & Kim, H. A. Level set topology optimization with nodally integrated reproducing kernel particle method. Comput. Methods Appl. Mech. Eng. 385, 114016. ISSN: 0045-7825 (Nov. 2021).
Reiner, J., Linden, N., Vaziri, R., Zobeiry, N. & Kramer, B. Bayesian parameter estimation for the inclusion of uncertainty in progressive damage simulation of composites. Compos. Struct. 321, 117257. ISSN: 0263-8223 (Oct. 2023).
Baek, J. & Chen, J.-S. A neural network-based enrichment of reproducing kernel approximation for modeling brittle fracture. Comput. Methods Appl. Mech. Eng. 419, 116590. ISSN: 0045-7825 (Feb. 2024).
MacNider, B., Xiu, H., Tamur, C., Qian, K., Frankel, I., Brandy, M., Kim, H.A. and Boechler, N., Customizable wave tailoring nonlinear materials enabled by bilevel inverse design. Nature Communications, 16(1), p.3425. (Apr. 2025).
Lee, D. & Kramer, B. Multifidelity conditional value-at-risk estimation by dimensionally decomposed generalized polynomial chaos-Kriging. Reliab. Eng. Syst. Safe. 235, 109208. ISSN: 0951-8320 (July 2023).
Lee, D. & Kramer, B. Bi-fidelity conditional value-at-risk estimation by dimensionally decomposed generalized polynomial chaos expansion. Struct. Multidiscip. Optim. 66. ISSN: 1615-1488 (Feb. 2023).
Boechler, N., Theocharis, G. & Daraio, C. Bifurcation-based acoustic switching and rectification. Nat. Mater. 10, 665–668. ISSN: 1476-4660 (July 2011).
Chen, J.-S., Hillman, M. & Chi, S.-W. Meshfree Methods: Progress Made after 20 Years. J. Eng. Mech. 143. ISSN: 1943-7889 (Apr. 2017).
Liu, W. K., Herman, C., Jiun-Shyan, C. & Ted, B. Arbitrary lagrangian-eulerian petrov-galerkin finite elements for nonlinear continua. Comput. Methods Appl. Mech. Eng. 68, 259–310. ISSN: 0045-7825 (June 1988).
Chen, J.-S., Pan, C., Wu, C.-T. & Liu, W. K. Reproducing Kernel Particle Methods for large deformation analysis of non-linear structures. Comput. Methods Appl. Mech. Eng. 139, 195–227. ISSN: 0045-7825 (Dec. 1996).
Belytschko, T. Meshfree and particle methods. Fundamentals and applications (eds Chen, J.-S. & Hillman, M. C.) Includes bibliographical references and index. 1324 pp. ISBN: 1119811155 (Wiley, Hoboken, NJ, 2024).
Kim, N. H., Choi, K. K. & Chen, J. S. Shape Design Sensitivity Analysis and Optimization of Elasto-Plasticity with Frictional Contact. AIAA J. 38, 1742–1753. ISSN: 1533-385X (Sept. 2000).
Sherburn, J. A., Roth, M. J., Chen, J. & Hillman, M. Meshfree modeling of concrete slab perforation using a reproducing kernel particle impact and penetration formulation. Int. J. Impact Eng. 86, 96–110. ISSN: 0734-743X (Dec. 2015).
Lin, S.-P., Chen, J.-S. & Liang, S. A damage analysis for brittle materials using stochastic micro-structural information. Computational Mechanics 57, 371–385. ISSN: 1432-0924 (Jan. 2016).
Roth, M. J., Chen, J.-S., Slawson, T. R. & Danielson, K. T. Stable and flux-conserved meshfree formulation to model shocks. Computational Mechanics 57, 773–792. ISSN: 1432-0924 (Jan. 2016).
Roth, M. J., Chen, J.-S., Danielson, K. T. & Slawson, T. R. Hydrodynamic meshfree method for high-rate solid dynamics using a Rankine–Hugoniot enhancement in a Riemann-SCNI framework. Int. J. Numer. Meth. Eng. 108, 1525–1549. ISSN: 1097-0207 (May 2016).
Huang, T.-H., Chen, J.-S., Tupek, M. R., Beckwith, F. N. & Fang, H. E. A variational multiscale immersed meshfree method for fluid structure interactive systems involving shock waves. Comput. Methods Appl. Mech. Eng. 389, 114396. ISSN: 0045-7825 (Feb. 2022).
Wang, H.-P., Wu, C.-T. & Chen, J.-S. A reproducing kernel smooth contact formulation for metal forming simulations. Computational Mechanics 54, 151–169. ISSN: 1432-0924 (Apr.2014).
Guan, P., Chi, S., Chen, J., Slawson, T. & Roth, M. Semi-Lagrangian reproducing kernel particle method for fragment-impact problems. Int. J. Impact Eng. 38, 1033–1047. ISSN: 0734-743X (Dec. 2011).
Chi, S.-W., Lee, C.-H., Chen, J.-S. & Guan, P.-C. A level set enhanced natural kernel contact algorithm for impact and penetration modeling. Int. J. Numer. Meth. Eng. 102, 839–866. ISSN: 1097-0207 (July 2014).
Chen, J.-S., Pan, C. & Wu, C.-T. Large deformation analysis of rubber based on a reproducing kernel particle method. Computational Mechanics 19, 211–227. ISSN: 1432-0924 (Feb. 1997).
Baek, J., Schlinkman, R. T., Beckwith, F. N. & Chen, J.-S. A deformation-dependent coupled Lagrangian/semi-Lagrangian meshfree hydromechanical formulation for landslide modeling. Adv. Model. Simul. Eng. Sci. 9. ISSN: 2213-7467 (Sept. 2022).
Baek, J., Chen, J.-S. & Susuki, K. A neural network-enhanced reproducing kernel particle method for modeling strain localization. Int. J. Numer. Meth. Eng. 123, 4422–4454. ISSN: 1097-0207 (May 2022).
Baek, J.,Wang, Y. & Chen, J.-S. N-adaptive ritz method: A neural network enriched partition of unity for boundary value problems. Comput. Methods Appl. Mech. Eng. 428, 117070. ISSN: 0045-7825 (Aug. 2024).
Chen, J.-S., Marodon, C. & Hu, H.-Y. Model order reduction for meshfree solution of Poisson singularity problems. Int. J. Numer. Meth. Eng. 102, 1211–1237. ISSN: 1097-0207 (Aug. 2014).
He, Q., Chen, J.-S. & Marodon, C. A decomposed subspace reduction for fracture mechanics based on the meshfree integrated singular basis function method. Computational Mechanics 63, 593–614. ISSN: 1432-0924 (Aug. 2018).
Chen, J.-S., Wu, C.-T., Yoon, S. & You, Y. A stabilized conforming nodal integration for Galerkin mesh-free methods. Int. J. Numer. Meth. Eng. 50, 435–466. ISSN: 1097-0207 (2000).
Neofytou, A., Yu, F., Zhang, L. & Kim, H. A. Level Set Topology Optimization for Fluid-Structure Interactions in AIAA SCITECH 2022 Forum (American Institute of Aeronautics and Astronautics, Jan. 2022).
Kambampati, S., Chung, H. & Kim, H. A. A discrete adjoint based level set topology optimization method for stress constraints. Comput. Methods Appl. Mech. Eng. 377, 113563. ISSN: 0045-7825 (Apr. 2021).
Jauregui, C. M., Hyun, J., Neofytou, A., Gray, J. S. & Kim, H. A. Avoiding reinventing the wheel: reusable open-source topology optimization software. Struct. Multidiscip. Optim. 66 (June 2023).
Sfiligoi, I., Armstrong, G., Gonzalez, A., McDonald, D. & Knight, R. Optimizing UniFrac with OpenACC Yields Greater Than One Thousand Times Speed Increase. mSystems 7 (ed Greene, C. S.) ISSN: 2379-5077 (June 2022).
Sfiligoi, I., Belli, E. A., Candy, J. & Budiardja, R. D. Optimization and Portability of a Fusion OpenACC-based FORTRAN HPC Code from NVIDIA to AMD GPUs in Practice and Experience in Advanced Research Computing (ACM, July 2023).
Kaneko, S., Wei, H., He, Q., Chen, J.-S. & Yoshimura, S. A hyper-reduction computational method for accelerated modeling of thermal cycling-induced plastic deformations. J. Mech. Phys. Solids 151, 104385. ISSN: 0022-5096 (June 2021).
He, X. & Chen, J.-S. Thermodynamically consistent machine-learned internal state variable approach for data-driven modeling of path-dependent materials. Comput. Methods Appl. Mech. Eng. 402, 115348. ISSN: 0045-7825 (Dec. 2022).
MacNider, B., Frankel, I., Qian, K., Pozos, A., Santos, A., Kim, H. A., & Boechler, N. Tailoring high precision polynomial architected material constitutive responses via inverse design. Available at SSRN 4693675 (2023).
Fancher, R., Frankel, I., Chin, K.C.H., Abi Ghanem, M., MacNider, B., Shannahan, L.S., Berry, J.F., Fermen-Coker, M., Boydston, A.J. and
Boechler, N. Dependence of the kinetic energy absorption capacity of bistable mechanical metamaterials on impactor mass and velocity. Extreme Mech. Lett. 63, 102044. SSN: 2352-4316 (Sept. 2023).
Koumlis, S. & Lamberson, L. in Advances in Experimental Impact Mechanics 125–149 (Elsevier, 2022). ISBN: 9780128233252.
Lamberson, L. E. & Boettcher, P. A. Compressed gas combined single- and two-stage light-gas gun. Rev. Sci. Instrum. 89. ISSN: 1089-7623 (Feb. 2018).
Chen, J.-S., Hillman, M., Huang, T.-H. &Wei, H. RKPM2D: An Open-Source Implementation of Nodally Integrated Reproducing Kernel Particle Method for Solving Partial Differential Equations 2020.
Kambampati, S., Jauregui, C. M., Pozzi, M. & Guibert, A. T. ParaLeSTO en. 2024.
MacNider, B., Jones, D., Callanan, J., Beason, M., Gray III, G.T., Dattelbaum, D.M., Boechler, N. and Fensin, S. In situ measurement of damage evolution in shocked magnesium as a function of microstructure. Sci. Adv. 9. ISSN: 2375-2548 (Nov. 2023).