Y. Sun, J. Huang, Q. Lu, X. Yue, X. Huang, W. He, Y. Shi, and J. Liu*, "Modeling fibrous tissue in vascular fluid-structure interaction: a morphology-based pipeline and biomechanical significance", International Journal for Numerical Methods in Biomedical Engineering. [preprint]
Refereed Articles in International Journals
Trainees from my research group are underscored
* indicates the corresponding author
Y. Sun, Q. Lu, and J. Liu*, "A parallel solver framework for fully implicit monolithic fluid-structure interaction", Acta Mechanica Sinica 41:324074, 2025. [DOI:10.1007/s10409-024-24074-x][preprint]
X. Li, D. Zhang, J. Guan, J. Liu, and H. Yuan*, "Magneto-viscoelastic rod model for hard-magnetic soft rods under 3D large deformation: Theory and numerical implementation", International Journal of Solids and Structures, 305:113101, 2024. [DOI:10.1016/j.ijsolstr.2024.113101]
J. Liu*, J. Guan, C. Zhao, and J. Luo, "A continuum and computational framework for viscoelastodynamics: III. A nonlinear theory", Computer Methods in Applied Mechanics and Engineering, 430:117248, 2024. [DOI:10.1016/j.cma.2024.117248][preprint]
X. Li, W. Yu, X. Zhu, J. Liu, H. Yuan*, "Geometrically exact 3D arbitrarily curved rod theory for dynamic analysis: Application to predicting the motion of hard-magnetic soft robotic arm", Applied Mathematical Modelling, 134:71-96, 2024. [DOI:10.1016/j.apm.2024.05.044]
J. Liu* and J. Guan, "A continuum and computational framework for viscoelastodynamics: II. Strain-driven and energy-momentum consistent schemes", Computer Methods in Applied Mechanics and Engineering, 417:116308, 2023. [DOI:10.1016/j.cma.2023.116308][preprint]
X. Li, W. Yu, J. Liu, X. Zhu, H. Wang, X. Sun, J. Liu, H. Yuan*, "A mechanics model of hard-magnetic soft beam with deformable cross-section under three-dimensional large deformation", International Journal of Solids and Structures, 279:112344, 2023. [DOI:10.1016/j.ijsolstr.2023.112344]
J. Guan, H. Yuan, and J. Liu*, "A structure-preserving integrator for incompressible finite elastodynamics based on a grad-div stabilized mixed formulation with particular emphasis on stretch-based material models", Computer Methods in Applied Mechanics and Engineering, 414:116145, 2023. [DOI:10.1016/j.cma.2023.116145][preprint]
J. Liu*, "On the design of non-singular, energy-momentum consistent integrators for nonlinear dynamics using energy splitting and perturbation techniques", Journal of Computational Physics, 487:112177, 2023. [DOI:10.1016/j.jcp.2023.112177][preprint]
I.S. Lan, J. Liu, W. Yang, J. Zimmermann, D.B. Ennis, and A.L. Marsden*, "Validation of the reduced unified continuum formulation against in vitro 4D-flow MRI", Annals of Biomedical Engineering, 51:377-393, 2023. [DOI:10.1007/s10439-022-03038-4][preprint]
W. Yu, X. Li, D. Chen, J. Liu, J. Su, J. Liu, C. Cao, and H. Yuan*, "A minimally-designed soft crawling robot for robust locomotion in unstructured pipes", Bioinspiration & Biomimetics, 17:056001, 2022. [DOI:10.1088/1748-3190/ac7492]
I.S. Lan, J. Liu*, W. Yang, and A.L. Marsden, "A reduced unified continuum formulation for vascular fluid-structure interaction", Computer Methods in Applied Mechanics and Engineering, 394:114852, 2022. [DOI:10.1016/j.cma.2022.114852][preprint]
I.S. Lan, J. Liu*, W. Yang, and A.L. Marsden, "Numerical investigation of abdominal aortic aneurysmal hemodynamics using the reduced unified continuum formulation for vascular fluid-structure interaction", Forces in Mechanics, 7:100089, 2022. [DOI:10.1016/j.finmec.2022.100089] [preprint]
X. Li, W. Yu, M. Baghaee, C. Cao, D. Chen, J. Liu and H. Yuan*, "Geometrically Exact Finite Element Formulation for Tendon-Driven Continuum Robots", Acta Mechanica Solida Sinica,35:552-570, 2022. [DOI:10.1007/s10338-022-00311-w]
J. Liu*, M. Latorre, and A.L. Marsden, "A continuum and computational framework for viscoelastodynamics: I. Finite deformation linear models", Computer Methods in Applied Mechanics and Engineering, 385:114059, 2021. [DOI:10.1016/j.cma2021.114059][preprint]
J. Liu*, W. Yang, I.S. Lan, and A.L. Marsden, "Reprint of: Fluid-structure interaction modeling of blood flow in the pulmonary arteries using the unified continuum and variational multiscale formulation", Mechanics Research Communications, 112:103704, 2021. [DOI:10.1016/j.mechrescom.2021.103704][preprint]
J. Liu, I.S. Lan, and A.L. Marsden, "Mathematical modeling of the vascular system." Notices of the American Mathematical Society, 68:707-720, 2021. [DOI:10.1090/noti2278] [preprint]
J. Liu* and A.L. Marsden, "Corrigendum to 'A unified continuum and variational multiscale formulation for fluids, solids, and fluid-structure interaction' [Comput. Methods Appl. Mech. Engrg. 337 (2018) 549–597]", Computer Methods in Applied Mechanics and Engineering, 375:113520, 2021. [DOI:10.1016/j.cma2020.113520]
J. Liu*, I.S. Lan, O.Z. Tikenogullari, and A.L. Marsden, "A note on the accuracy of the generalized-α scheme for the incompressible Navier-Stokes equations", International Journal for Numerical Methods in Engineering, 122:638-651, 2021. [DOI:10.1002/nme.6550][preprint]
J. Liu*, W. Yang, I.S. Lan, and A.L. Marsden, "Fluid-structure interaction modeling of blood flow in the pulmonary arteries using the unified continuum and variational multiscale formulation", Mechanics Research Communications, 107:103556, 2020. [DOI:10.1016/j.mechrescom.2020.103556][preprint]
J. Liu*, W. Yang, M. Dong, and A.L. Marsden, "The nested block preconditioning technique for the incompressible Navier-Stokes equations with emphasis on hemodynamic simulations.", Computer Methods in Applied Mechanics and Engineering, 367:113122, 2020. [DOI:10.1016/j..cma.2020.113122][preprint]
J. Liu*, A.L. Marsden, and Z. Tao, "An energy-stable mixed formulation for isogeometric analysis of incompressible hyper-elastodynamics", International Journal for Numerical Methods in Engineering, 120:937-963, 2019. [DOI:10.1002/nme.6165][preprint]
J. Liu* and A.L. Marsden, "A robust and efficient iterative method for hyper-elastodynamics with nested block preconditioning." Journal of Computational Physics, 383:72-93, 2019. [DOI:10.1016/j.jcp.2019.01.019][preprint]
J. Liu* and A.L. Marsden, "A unified continuum and variational multiscale formulation for fluids, solids, and fluid-structure interaction.", Computer Methods in Applied Mechanics and Engineering, 337:549-597, 2018. [DOI:10.1016/j.cma.2018.03.045][preprint]
J. Liu*, C.M. Landis, H. Gomez, and T.J.R. Hughes, "Liquid-Vapor Phase Transition: Thermomechanical Theory, Entropy Stable Numerical Formulation, and Boiling Simulations." Computer Methods in Applied Mechanics and Engineering, 297:476-553, 2015. [DOI:10.1016/j.cma.2015.09.007][preprint][slides]
J. Liu*, H. Gomez, J.A. Evans, T.J.R. Hughes, and C.M. Landis, "Functional Entropy Variables: A New Methodology for Deriving Thermodynamically Consistent Algorithms for Complex Fluids, with Particular Reference to the Isothermal Navier-Stokes-Korteweg Equations." Journal of Computational Physics, 248:47-86, 2013. [DOI:10.1016/j.jcp.2013.04.005][preprint]
J. Liu*, L. Dede, J.A. Evans, M.J. Borden, and T.J.R. Hughes, "Isogeometric analysis of the advective Cahn-Hilliard equation: Spinodal decomposition under shear flow." Journal of Computational Physics, 242:321-350, 2013. [DOI:10.1016/j.jcp.2013.02.008][preprint]
H. Guan, Y. Jiao, J. Liu and Y. Tang*, "Explicit Symplectic Methods for the Nonlinear Schrodinger Equation." Communications in Computational Physics, 6:639-654, 2009. [Link]
Book Chapters
J. Liu, "Thermal convection in the van der Waals fluid." in Frontiers in Computational Fluid-Structure Interaction and Flow Simulation, Research from Lead Investigators under Forty - 2018, edited by T.E. Tezduyar, Springer, 2018 [DOI:10.1007/978-3-319-96469-0_9][preprint]
J. Liu and T.J.R. Hughes, "Isogeometric Phase-field Simulation of Boiling", in Advances in Computational Fluid-Structure Interaction and Flow Simulation, A Tribute to Tayfun Tezduyar on the Occasion of his 60th Birthday, edited by K. Takizawa and Y. Bazilevs, Springer, 2015.[DOI:10.1007/978-3-319-40827-9_17]
Misc
Echocardiography and Cardiovascular Imaging Group of Chinese College of Cardiovascular Physicians and the Editorial Board of Chinese Journal of Interventional Cardiology, "Chinese expert consensus on the clinical pathway of coronary computed tomography angiography-derived fractional flow reserve", Chinese Journal of Interventional Cardiology, 31(4):241-251, 2023. [DOI:10.3969/j.issn.1004-8812.2023.04.001]
Dissertation
Thermodynamically consistent modeling and simulation of multiphase flows. Ph.D. Dissertation, The University of Texas at Austin, 2014 [Link]
© JULIU