https://www.taojinlab.com/publications daily 0.75 2025-08-04 https://www.taojinlab.com/people daily 0.75 2025-08-08 https://images.squarespace-cdn.com/content/v1/607deec7d425f60eeeeb761f/1618970803338-RGQD6QU91T7MI6PRPZY3/IMG_6712+%281%29.JPG People https://images.squarespace-cdn.com/content/v1/607deec7d425f60eeeeb761f/47e170b6-36e8-46fa-a8e4-5eea59e5e13c/IMG_2.JPG People https://images.squarespace-cdn.com/content/v1/607deec7d425f60eeeeb761f/b43d95f2-5f79-4b19-bfae-89f4a3f232c3/IMG_2553.jpg People https://images.squarespace-cdn.com/content/v1/607deec7d425f60eeeeb761f/6e646435-49dc-4d8d-af68-cbe7379f2d83/Image+%282%29.jpeg People https://images.squarespace-cdn.com/content/v1/607deec7d425f60eeeeb761f/b503dc5f-0962-460b-bec0-ba202db8c349/Lab+Photo.jpg People https://images.squarespace-cdn.com/content/v1/607deec7d425f60eeeeb761f/94734f65-3111-4df0-9383-6a53fb69ba74/image.png People https://images.squarespace-cdn.com/content/v1/607deec7d425f60eeeeb761f/6ec37ee3-a82a-4105-96d1-f022264f6c0c/3c4834ab-f20f-4055-87da-809b56b18775.JPG People https://www.taojinlab.com/teaching daily 0.75 2025-08-04 https://www.taojinlab.com/contact daily 0.75 2025-08-08 https://www.taojinlab.com/outreach daily 0.75 2022-09-02 https://www.taojinlab.com/positions daily 0.75 2023-03-28 https://www.taojinlab.com/biomaterials daily 0.75 2021-04-21 https://images.squarespace-cdn.com/content/v1/607deec7d425f60eeeeb761f/1618889681606-EX712D5H9KX321SCIR8Q/biomaterials1.jpg Modeling biomaterials Fig. 1 Microscopic structures of biomaterials influence their macroscopic functionalities. https://images.squarespace-cdn.com/content/v1/607deec7d425f60eeeeb761f/1618889978912-B07SUBSV5DPKYOAJP241/hydrogel_original.jpg Modeling biomaterials Fig 2. Hydrogel microstructure and pattern geometry are optimized to achieve targeted properties. https://www.taojinlab.com/fractures daily 0.75 2021-04-20 https://images.squarespace-cdn.com/content/v1/607deec7d425f60eeeeb761f/1618941402933-G2W72A9B3TNEYILJK8GV/TwoSources.gif Propagating fractures Fig 1. Fractures are initialized at two different locations due to injected fluid pressure and merge with each other. https://images.squarespace-cdn.com/content/v1/607deec7d425f60eeeeb761f/1618945734057-NZUQ9ZX68IWP8RN65O6B/Island.gif Propagating fractures Fig 2. Fracture propagates around a rigid area and then merges again. https://www.taojinlab.com/shearbands daily 0.75 2021-04-20 https://images.squarespace-cdn.com/content/v1/607deec7d425f60eeeeb761f/1618898280402-E1ZIDTMGLGUL5Y4Q6QR4/shearband1.jpg Tracking shear bands Fig 1. Shear band is often observed in ductile metallic materials as a precursor to failure. https://images.squarespace-cdn.com/content/v1/607deec7d425f60eeeeb761f/1618896348347-ZOZOMVGHMLCIH5NNF08Y/animation.gif Tracking shear bands Fig 2. Shear band continuously propagates inside the specimen after initialization. https://www.taojinlab.com/home daily 1.0 2025-03-20 https://images.squarespace-cdn.com/content/v1/607deec7d425f60eeeeb761f/1619231054068-VXZX5M3DNMSJQ3GBIDTY/Ourmission.png Home https://images.squarespace-cdn.com/content/v1/607deec7d425f60eeeeb761f/1619044198542-RNXCYTYRMGR2RPUMYN9A/myResearch.png Home https://www.taojinlab.com/phase-field daily 0.75 2025-03-21 https://images.squarespace-cdn.com/content/v1/607deec7d425f60eeeeb761f/d556ed51-d1df-48d0-a1cb-bbf25a1dbc10/Inclusion_barriers.png Phase-field crack modeling Fig 1. Crack propagation inside a material sample containing two rigid body inclusions. The L-BFGS monolithic solver combined with an adaptive mesh refinement technique makes the phase-field approach practical for 3D simulations. https://images.squarespace-cdn.com/content/v1/607deec7d425f60eeeeb761f/05d6b3e6-a768-4cde-9a47-4edac5179af9/torsion.gif Phase-field crack modeling Fig 2. Crack propagation inside a concrete beam under torsion. The crack surface represented by the phase-field is non-planar.