HexGen and Hex2Spline are two open source software packages to integrate geometry design with Isogeometric Analysis (IGA) in LS-DYNA. The copyright of this code belongs to Prof. Yongjie Jessica Zhang's group in Carnegie Mellon University.

Developers: Yuxuan Yu, Xiaodong Wei, Angran Li and Yongjie Jessica Zhang.

Model design and testing: Jialei Ginny Liu, Jeffrey He.

• Zhang, Y., Bajaj, C.L., Xu, G.: Surface smoothing and quality improvement of quadrilateral/hexahedral meshes with geometric flow. Communications in Numerical Methods in Engineering 25(1), 1–18 (2009)

• Qian, J., Zhang, Y., Wang, W., Lewis, A.C., Qidwai, M.A.S., Geltmacher, A.B.: Quality improvement of non-manifold hexahedral meshes for critical feature determination of microstructure materials. International Journal for Numerical Methods in Engineering 82(11), 1406–1423 (2010)

• Zhang, Y., Wang, W., Hughes, T.J.R.: Solid T-spline construction from boundary representations for genus-zero geometry. Computer Methods in Applied Mechanics and Engineering 249, 185–197 (2012)

• Qian, J., Zhang, Y.: Automatic unstructured all-hexahedral mesh generation from B-Reps for non-manifold CAD assemblies. Engineering with Computers 28(4), 345–359 (2012)

• Wang, W., Zhang, Y., Xu, G., Hughes, T.J.R.: Converting an unstructured quadrilateral/hexahedral mesh to a rational T-spline. Computational Mechanics 50(1), 65–84 (2012)

• Wang, W., Zhang, Y., Liu, L., Hughes, T.J.R.: Trivariate solid T-spline construction from boundary triangulations with arbitrary genus topology. Computer Aided Design 45(2), 351–360 (2013)

• Liu, L., Zhang, Y., Hughes, T.J., Scott, M.A., Sederberg, T.W.: Volumetric T-spline construction using Boolean operations. Engineering with Computers 30(4), 425–439 (2014)

• Liu, L., Zhang, Y., Liu, Y., Wang, W.: Feature-preserving T-mesh construction using skeletonbased polycubes. Computer Aided Design 58, 162–172 (2015)

• Lai, Y., Liu, L., Zhang, Y., Chen, J., Fang, E., Lua, J.: Rhino 3D to Abaqus design-throughanalysis: A T-spline based IGA software platform. The Edited Volume of the Modeling and Simulation in Science, Engineering and Technology Book Series Devoted to AFSI 2014 - A Birthday Celebration Conference for Tayfun Tezduyar. Springer (2015)

• Hu, K., Zhang, Y.J.: Centroidal Voronoi tessellation based polycube construction for adaptive all-hexahedral mesh generation. Computer Methods in Applied Mechanics and Engineering 305, 405–421 (2016)

• Zhang, Y.: Geometric Modeling and Mesh Generation from Scanned Images. Chapman and Hall/CRC (2016)

• Lai, Y., Zhang, Y.J., Liu, L., Wei, X., Fang, E., Lua, J.: Integrating CAD with Abaqus: A practical isogeometric analysis software platform for industrial applications. Computers and Mathematics with Applications 74(7), 1648–1660 (2017)

• Wei, X., Zhang, Y., Hughes, T.J.R.: Truncated hierarchical tricubic C0 spline construction on unstructured hexahedral meshes for isogeometric analysis applications. Computers and Mathematics with Applications 74(9), 2203–2220 (2017)

If you find this code helpful in conducting research projects, we would appreciate a citation to the following article:

Y. Yu, X. Wei, A. Li, J. G. Liu, J. He and Y. J. Zhang: HexGen and Hex2Spline: Polycube-based Hexahedral Mesh Generation and Spline Modeling for Isogeometric Analysis Applications in LS-DYNA. Submitted to Springer INdAM Series, 2020.