Referred Journal Publications

  1. Jia Lu, Shouhua Hu, and M. L. Raghavan, A shell-based inverse approach of stress analysis in intracranial aneurysms. Annals of Biomedical Engineering, 41, 1501-1515, 2013.
  2. Jia Lu, Chao Zheng, Dynamic cloth simulation by isogeometric analysis. Computer Methods in Applied Mechanics and Engineering, in revision.
  3. Jia Lu, G. Yang, and J. L. Ge, Blending NURBS and Lagrangian representations in isogeometric analysis. Computer Methods in Applied Mechanics and Engineering, 257, 117-125, 2013 .
  4. Karol Miller and Jia Lu, On the prospect of patient-specific biomechanics without patient-specific properties of tissues. Journal of the Mechanical Behavior of Biomedical Materials, 2013 (in press)
  5. Jianli Ge, Guolai Yang, and Jia Lu, Advances in isogeometric analysis. Advances in Mechanics, 2013 (in press).
  6. Xuefeng Zhao, M. L. Raghavan, and Jia Lu, Characterizing heterogeneous elastic properties of cerebral aneurysms with unknown stress-free geometry -- a precursor to in vivo identification, 133, 051008/1-051008/12, 2011.
  7. A. I. Nadareyshvili, K.B. Chandran, and Jia Lu, Image-based point cloud Hamiltonian dynamic analysis for biomechanical systems. International Journal for Numerical Methods in Biomedical Engineering, 27:1507-1523, 2011.
  8. Jia Lu, A covariant constitutive theory for anisotropic hyperelastic solids with initial strains. Mathematics and Mechanics of Solids, 17:104-119, 2011.
  9. Jia Lu Isogeometric Contact Analysis: Geometric Basis and Formulation for Frictionless Contact. , Computer Methods in Applied Mechanics and Engineering, vol. 200, 726-741, 2011.
  10. Jia Lu and Xianlian Zhou, Cylindrical Element: Isogeometric Model of Continuum Rod. Computer Methods in Applied Mechanics and Engineering, 200, 233-241, 2011.
  11. Jing Qian and Jia Lu, Point-cloud method for image-based biomechanical stress analysis. International Journal for Numerical Methods in Biomedical Engineering, 27:1493–1506, 2011.
  12. W. Han, J. Eichholz, J. Huang, and J. Lu, RTE based bioluminescense tomography: A theoretical study. Inverse Problems in Science & Engineering, 19, 435-459, 2011.
  13. Paul Jermihov, Jia Lu, Michael S. Sacks, Robert C. Gorman, Robert C., Joseph H. Gorman III, and Krishnan B. Chandran, Effect of geometry on the leaflet stresses in simulated models of congenital bicuspid aortic valves. Cardiovascular Engineering and Technology, 2, 48-56, 2011.
  14. Madhavan L. Raghavan, Kathleen Lin, Manasi Ramachandran, Aleko Nadareishvili, and Jia Lu, Planar radial extension for constitutive modelling of anisotropic biological soft tissues. International Journal of Structural Changes in Solids,3, 23-31, 2011.
  15. Xuefeng Zhao, Madhavan L. Raghavan, and Jia Lu, Identifying Heterogeneous Anisotropic Properties in Cerebral Aneurysms: A Pointwise Approach. Biomechanics and Modeling in Mechanobiology, 10, 177-189, 2011.
  16. Xianlian Zhou, Madhavan L. Raghavan, Robert E. Harbaugh, Jia Lu, Patient-Specific Wall Stress Analysis in Cerebral Aneurysms Using Inverse Shell Model, Annals of Biomedical Engineering, 38, 478-489, 2010.
  17. Jing Qian and Jia Lu, A stabilization formulation for discrete gradient method. Communications in Numerical Methods in Engineering, 27:860-873, 2011.
  18. Sarah C. Vigmostad, H. S. Udaykumar, Jia Lu, Krishnan B. Chandran, Fluid Structure Interaction Analysis in Biological Flows with Special Emphasis on Heart Valve Dynamics, International Journal of Numerical Methods in Biomedical Engineering, 26, 435-470, 2010.
  19. Jia Lu, Circular element: Isogeometric elements of smooth boundary. Computer Methods in Applied Mechanics and Engineering, 198, 2391-2402, 2009.
  20. Jia Lu and Xuefeng Zhao, Pointwise Identification of Elastic Properties in Nonlinear Hyperelastic Membranes. Part I: Theoretical and Computational Developments. ASME Journal of Applied Mechanics, 76, 061013/1-061013/10, 2009.
  21. Xuefeng Zhao, Xiaolin Chen and Jia Lu, Pointwise Identification of Elastic Properties in Nonlinear Hyperelastic Membranes. Part II: Experimental Validation. ASME Journal of Applied Mechanics, 76, 061014/1-061014/8, 2009.
  22. Jia Lu and Jing Qian, Discrete gradient method over polygon mesh. International Journal for Numerical Methods in Engineering, vol. 78, 505-527, 2009
  23. Xianlian Zhou and Jia Lu, Estimation of vascular open configuration using finite element inverse elastostatic methods. Engineering with Computers, vol. 25, 49-59, 2009.
  24. H. Kim, J. Lu, M.S. Sacks, and K.B. Chandran, Dynamic simulation of bioprosthetic heart valves using a stress resultant shell model. Annals of Biomedical Engineering vol. 36, 262-275, 2008.
  25. J. Lu, X. Zhou and M.L. Raghavan, Inverse method of stress analysis for cerebral aneurysms. Biomechanics and Modeling in Mechanobiology, vol. 7, 477-486, 2008.
  26. X. Zhou and J. Lu, Inverse Formulation for Geometrically Exact Stress Resultant Shells. International Journal for Numerical Methods in Engineering. vol. 74, 1278-1302, 2008 ( DOI: 10.1002/nme.2215).
  27. J. Lu, J. Qian and W. Han, Discrete Gradient Method in Solid Mechanics. International Journal for Numerical Methods in Engineering. vol. 74, 619-641, 2008 ( DOI: 10.1002/nme.2187; ).
  28. Hyunggun Kim, Krishnan B Chandran, Michael S Sacks and J. Lu, An Experimentally Derived Stress Resultant Shell Model for Heart Valve Dynamic Simulations. Annals of Biomedical Engineering, vol. 35, 30-44, 2007.
  29. Baoshun Ma, Jia Lu, Robert E Harbaugh, Madhavan L. Raghavan, Nonlinear Anisotropic Stress Analysis of Anatomically Realistic Cerebral Aneurysms. ASME Journal of Biomedical Engineering, 129(1), 88-96, 2007
  30. Liang Zhang and Jia Lu, An Eshelby-type approach for defect energetic analysis in carbon nanotubes. Journal of Mechanics of Materials and Structures, 2, 319-333, 2007.
  31. J. Lu, X. Zhou and M. L. Raghavan, Inverse Elastostatic Stress Analysis in Pre-Deformed Biological Structures: Demonstration Using Abdominal Aortic Aneurysms. Journal of Biomechanics, 40, 693-696, 2007.
  32. J. Lu, X. Zhou and M.L. Raghavan, Computational Method for Inverse Elastostatics in Anisotropic Hyperelastic Solids. International Journal for Numerical Methods in Engineering, 69, 1239-1261, 2007.
  33. H. Kim, J. Lu, M. Sacks and K.B. Chandran, Dynamic Simulation of Pericardial Bioprosthetic Heart Valve Function, ASME Journal of Biomechanical Engineering, 128, 717-724, 2006.
  34. J. Lu and L. Zhang, An Atomistic Instability Condition and Applications. Journal of Mechanics of Materials and Structures, 1, 633-648, 2006.
  35. J. Lu and L. Zhang, Analysis of localized failure in single-wall carbon nanotubes. Computational Materials Science, vol. 35, pp. 432-441, 2006.
  36. J. Lu, A covariant condition and related constitutive results in finite plasticity. ZAMP, vol. 57, 313-323, 2006.
  37. J. Lu and L. Zhang. Physically motivated invariant formulation for transversely isotropic hyperelasticity. International Journal of Solids and Structures, vol. 42, pp. 6015-6031, 2005.
  38. J. Lu, G.L. Yang and H. Oh, Computing Lyapunov exponents of continuous dynamical systems: method of Lyapunov vectors. Chaos, Solitons and Fractals, vol. 23, 1879-1892, 2005.
  39. G.L. Yang, J. Lu and A.C.J. Luo. On the Computation of the Lyapunov exponents for forced vibration of a Lennard-Jones oscillator. Chaos, Solitons and Fractals, vol.23, 831-841, 2005.
  40. X. Zhou and J. Lu, Biomechanical Analysis of Skeletal Muscle in an Interactive Digital Human System. SAE Transactions: Journal of Passenger Cars - Mechanical Systems, 114, 2921-2929, 2005.
  41. J. Lu, Exact expansions of arbitrary tensor function F(A) and their derivatives. International Journal of Solids and Structures, vol.41, 337-349, 2004.
  42. J. Lu and P. Papadopoulos, A Covariant formulation of anisotropic finite plasticity: theoretical development. Computer Methods in Applied Mechanics and Engineering, vol. 193, pp. 5335-5358, 2004.
  43. J. Lu and P. Papadopoulos, Referential Doyle-Ericksen formulae for Eshelby’s energy-momentum tensor in non-linear elasticity. ZAMP, 2003, vol. 54, 964-976, 2003.
  44. J. Lu and P. Papadopoulos, An incremental formulation for rate-independent finite rigid plasticity. Communication in Nonlinear Sciences and Numerical Simulation, vol.7, 139-155, 2002.
  45. P. Papadopoulos and J. Lu, On the formulation and numerical integration for finite strain anisotropic plasticity. Computer Methods in Applied Mechanics and Engineering, vol.190, 4889-4910, 2001.
  46. J. Lu and P. Papadopoulos, A covariant constitutive description for anisotropic non-linear elasticity. ZAMP, vol.51, 204-217, 2000.
  47. R. Han and J. Lu, A space-time finite element for elasto-plastic shock dynamics of beams. Journal of Sound & Vibration, vol. 222, 65-84, 1999.
  48. P. Papadopoulos and J. Lu, A general framework for the numerical solution of problems in finite elasto-plasticity. Computer Methods in Applied Mechanics and Engineering, vol. 159, 1-18, 1998.
  49. J. Lu and P. Papadopoulos, Representations of Kronecker power of orthogonal tensors with applications to material symmetry. International Journal of Solids and Structures, vol. 35, 3935-3944, 1998.
  50. J. Lu and P. Papadopoulos, On the direct determination of the rotation tensor from the deformation gradient. Mathematics and Mechanics of Solids, vol. 2, 17-26, 1997.

Preprints

Other archived Publications

  1. X. Zhou and J. Lu, NURBS-based Galerkin method and application to skeletal muscle modeling. Proceedings of the 2005 ACM Symposium on Solid and Physical Modeling, SPM'05. ACM Press, New York, 71-78 (peer reviewed, formal publication).

Book Chapters

  1. Tim Marler, Jasbir Arora, Steve Beck, Jia Lu, Anith Mathai, Amos Patrick, Colby Swan, Computational Approaches in DHM, in Digital Human Modeling Handbook, Vince Duffy ed., Taylor and Francis Group, LLC, 2008.
  2. Michael S. Sacks and Jia Lu, Formulation and Computational Implementation of Constitutive Models for Cardiovascular Soft Tissue Simulations. In K. B. Chandran et al. eds., Image-based Computational Modeling of the Human Circulatory and Pulmonary Systems. Springer, 2011.