Qiqin Le, Yitong Deng, Jiamu Bu, Bo Zhu, Tao Du
We present a computational framework for simulating deformable surfaces with second-order triangular finite elements. Our method develops numerical schemes for discretizing stretching, shearing, and bending energies of deformable surfaces in a second-order finite-element setting. In particular, we introduce a novel discretization scheme for approximating mean curvatures on a curved triangle mesh. Our framework also integrates a virtual-node finite-element scheme that supports two-way coupling between cut-cell rods without expensive remeshing. We compare our approach with traditional simulation methods using linear and higher-order finite elements and demonstrate its advantages in several challenging settings, such as low-resolution meshes, anisotropic triangulation, and stiff materials. Finally, we showcase several applications of our framework in cloth simulation, mixed Origami and Kirigami, and biologically-inspired soft wing simulation.
Download paper here
Tao Du would like to thank Tsinghua University and Shanghai Qi Zhi Institute for supporting this research. Bo Zhu and Yitong Deng acknowledges the funding supports from NSF IIS-210673
*Citation will be available after the paper is camera-ready