Chi, Heng. 2014. “Polygonal Finite Elements for Finite Elasticity”. Department of Civil and Environmental Engineering, UIUC. UIUC. Link to Dissertation: Polygonal finite elements for finite elasticity. Reference Link
Chi, Heng. 2018. “Virtual Elements and Barycentric Finite Elements in Computational Mechanics”. School of Civil and Environmental Engineering, Georgia Institute of Technology. Georgia Institute of Technology. Link to Dissertation: Virtual elements and barycentric finite elements in computational mechanics. Reference Link
Paulino, Glaucio H, Heng Chi, Cameron Talischi, and Oscar Lopez-Pamies. 2017. “Chapter 12: ‘Extremely Large Deformation With Polygonal and Polyhedral Elements’”. In Generalized Barycentric Coordinates in Computer Graphics and Computational Mechanics. Reference Link
Chi, Heng, Anderson Pereira, Ivan FM Menezes, and Glaucio H Paulino. 2020. “Virtual Element Method (VEM)-Based Topology Optimization: An Integrated Framework”. Structural and Multidisciplinary Optimization 62. Springer: 1089–1114. Reference Link
Zhang, Xiaojia, Heng Chi, and Glaucio H Paulino. 2020. “Adaptive Multi-Material Topology Optimization With Hyperelastic Materials under Large Deformations: A Virtual Element Approach”. Computer Methods in Applied Mechanics and Engineering 370. Elsevier: 112976. Reference Link
Zhang, Yuyu, Heng Chi, Binghong Chen, Tsz Ling Elaine Tang, Lucia Mirabella, Le Song, and Glaucio H Paulino. 2021. “Speeding up Computational Morphogenesis With Online Neural Synthetic Gradients”. In , 1–8. Reference Link
Park, Kyoungsoo, Heng Chi, and Glaucio H Paulino. 2020. “Numerical Recipes for Elastodynamic Virtual Element Methods With Explicit Time Integration”. International Journal for Numerical Methods in Engineering 121. Wiley Online Library: 1–31. Reference Link
Chi, Heng, Yuyu Zhang, Tsz Ling Elaine Tang, Janani Venugopalan, Lucia Mirabella, Le Song, and Glaucio H Paulino. 2022. “System for Machine Learning-Based Acceleration of a Topology Optimization Process”. Google Patents. Reference Link
Chi, Heng, Cameron Talischi, Oscar Lopez-Pamies, and Glaucio H Paulino. 2015. “Polygonal Finite Elements for Finite Elasticity”. International Journal for Numerical Methods in Engineering 101. Wiley Online Library: 305–328. Reference Link
Chi, Heng, Davi L Ramos, Adeildo S Ramos Jr, and Glaucio H Paulino. 2019. “On Structural Topology Optimization Considering Material Nonlinearity: Plane Strain versus Plane Stress Solutions”. Advances in Engineering Software 131. Elsevier: 217–231. Reference Link
Chi, Heng, and Glaucio H Paulino. 2016. “On Variational Formulations With Rigid-Body Constraints for Finite Elasticity: Applications to 2D and 3D Finite Element Simulations”. Mechanics Research Communications 78. Elsevier: 15–26. Reference Link
Chi, Heng, Beirão Da Veiga, and Glaucio H Paulino. 2019. “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 347. Elsevier: 21–58. Reference Link
Chi, Heng, Oscar Lopez-Pamies, and Glaucio H Paulino. 2016. “A Variational Formulation With Rigid-Body Constraints for Finite Elasticity: Theory, Finite Element Implementation, and Applications”. Computational Mechanics 57. Springer: 325–338. Reference Link
Park, Kyoungsoo, Heng Chi, and Glaucio H Paulino. 2019. “On Nonconvex Meshes for Elastodynamics Using Virtual Element Methods With Explicit Time Integration”. Computer Methods in Applied Mechanics and Engineering 356. Elsevier: 669–684. Reference Link
Chi, Heng, Beirão Da Veiga, and Glaucio H Paulino. 2017. “Some Basic Formulations of the Virtual Element Method (VEM) for Finite Deformations”. Computer Methods in Applied Mechanics and Engineering 318. Elsevier: 148–192. Reference Link
Chi, Heng, Cameron Talischi, Oscar Lopez-Pamies, and Glaucio H Paulino. 2016. “A Paradigm for Higher-Order Polygonal Elements in Finite Elasticity Using a Gradient Correction Scheme”. Computer Methods in Applied Mechanics and Engineering 306. Elsevier: 216–251. Reference Link
da Senhora, Fernando, V, Heng Chi, Yuyu Zhang, Lucia Mirabella, Tsz Ling Elaine Tang, and Glaucio H Paulino. 2022. “Machine Learning for Topology Optimization: Physics-Based Learning through an Independent Training Strategy”. Computer Methods in Applied Mechanics and Engineering 398. Elsevier: 115116. Reference Link
Park, Kyoungsoo, Heng Chi, and Glaucio H Paulino. 2021. “B-Bar Virtual Element Method for Nearly Incompressible and Compressible Materials”. Meccanica 56. Springer: 1423–1439. Reference Link
Chi, Heng, Yuyu Zhang, Tsz Ling Elaine Tang, Lucia Mirabella, Livio Dalloro, Le Song, and Glaucio H Paulino. 2021. “Universal Machine Learning for Topology Optimization”. Computer Methods in Applied Mechanics and Engineering 375. Elsevier: 112739. Reference Link
Choi, Habeun, Heng Chi, Kyoungsoo Park, and Glaucio H Paulino. 2021. “Computational Morphogenesis: Morphologic Constructions Using Polygonal Discretizations”. International Journal for Numerical Methods in Engineering 122. Wiley Online Library: 25–52. Reference Link