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Liping Liu
Liping Liu
Associate Professor of Mathematics & Mechanical Aerospace Engineering
Our research group at Rutgers University focus on mathematics, mechanics and materials: multiscale-multiphysics analysis and modeling, optimal design of multiphase and multifunctional composites, and theoretical and computational material science.
110 Frelinghuysen Rd., Piscataway, NJ 08854-8019
Office Hours
Hill Center

On Sabbatical in CY2017


Associate Professor in Department of Mechanical Aerospace Engineering & Department of Mathematics, Rutgers University, New Brunswick, NJ


1996-2000         Bachelor of Engineering in Mechanics and Engineering Science, July 2000

                           Beijing (or Peking) University, Beijing, China

2000-2006         Ph.D. in Aerospace Engineering and Mechanics, August 2006

                           University of Minnesota, Twin Cities


Jul. 2014 - present             Associate Professor, Department of Mathematics & Department of

                                             Mechanical Aerospace Engineering, Rutgers University, NJ

Jan. 2012 - Jul. 2014           Assistant Professor, Department of Mathematics & Department of

                                             Mechanical Aerospace Engineering, Rutgers University, NJ

Oct. 2008 - Jan. 2012         Assistant Professor, Department of Mechanical Engineering,

                                             University of Houston, Houston, TX

Oct. 2006 - Oct. 2008         Postdoctoral Scholar, Division of Engineering and Applied Science,

                                            California Institute of Technology, CA


  • Best Dissertation Award, College of Science and Engineering, University of Minnesota (one awardee per year in the college), 2008

  • Professor of the Year (Teaching Award), American Society of Mechanical Engineering at University of Houston, 2010

  • Yong Investigator Program Award, AFOSR, 2012

  • Eshelby Award for Young Faculty, 2014

  • CAREER Award, NSF: CMMI, 2014

  • Young Investigator Medal, Society of Engineering Science, 2015

  • Melville Medal for the best paper, ASME, 2015 (Coauthored with Parnia Mohammadi and Pradeep Sharma)

  • Simons Fellow, Simons Foundation, 2016

  • Chancellor’s Scholar Award, Rutgers University, 2016


Mechanics and Mathematics of Materials



  1. W. Wang, L.P. Liu. Solitary waves in two dimensional granular crystals.   Acta Mechanica, 2017, In Press.
  2. H.X. Wang*, L. P. Liu and D. Liu. Equilibrium shapes of a heterogeneous bubble in an electric field: a variational formulation and numerical verifications.   Proceeding A, In press.
  3. S. Shannon, D.  Jia, I. Entersz, P. Beelen, M. Yu*, C. Carcione, J. Carcione, A. Mahtabfar, C. Vaca, M. Weaver, D. Shreiber, J. D. Zahn, L.P. Liu, H. Lin, and R. A. Foty. Inhibition of glioblastoma dispersal by the MEK-inhibitor PD0325901, BMC Cancer, 17:121, 2017.
  4. W. Yuan*, L.P. Liu, and J. Shan. Tunable acoustic attenuation in dilute suspensions of non-spherical magnetic Particles, J. App. Phys. 121, 045110, 2017.
  5. L.P. Liu, M. Yu*, H. Lin and R. Foty. Deformation and relaxation of an incompressible viscoelastic body with surface viscoelasticity.   J. Mech. Phys. Solids, 98:309-329, 2017.
  6. J. Yvonnet, L.P. Liu. A numerical framework for modeling flexoelectricity and Maxwell stress in soft dielectrics at finite strains. Comp. Meth. Appl. Mech. Engr., 313:450-482, 2017.


  1. H. Agrawala*, L.P. Liu, P. Sharma. Revisiting the curvature-mediated interactions between proteins in biological membranes.   Soft Matter, 12(43):8907-8918, 2016.
  2. H. Agrawala*, M. Zeliskoa, L.P. Liu, P. Sharma. Rigid proteins and softening of biological membranes---with application to HIC-induced cell membrane softening (12pg). Scientific Report, 6: 25412. 2016.
  3. L.P. Liu and N. Lu. Variational formulations, instabilities and critical loadings of space curved beams (13pg). Int. J. Solid. Struc., 87:48-60, 2016.
  4. X.B. Li*, L.P. Liu and P. Sharma. A New Type of Maxwell Stress in Soft Materials due to Quantum Mechanical-Elasticity Coupling (14pg), J. Mech. Phys. Solids, 87, 115–129, 2016.


  1. X.B. Li*, L.P. Liu and P. Sharma. Geometrically nonlinear deformation and the emergent behavior of polarons in soft matter (6pg, Communication). Soft Matter, 11, 8042-8047, 2015.
  2. L.X. Hu* and L. P. Liu.  From atomistics to continuum: effects of a free surface and determination of surface elasticity properties (10pg). Mechanics of Materials, 90, 202-211, 2015.
  3. F. Ahmadpoor, L. P. Liu and P. Sharma. Thermal fluctuations and the minimum electrical field that can be detected by a biological membrane (13 pg). J. Mech. Phys. Solid, 78,110-122,2015.
  4. Z. Alameh*, Q. Deng*, L. P. Liu and P. Sharma. Using electrets to design concurrent magnetoelectricity and piezoelectricity in soft materials (7pg). Journal of Material Research, 30:93-100, 2015


  1. L. P. Liu. Feasibility of Large-scale power plants based on thermoelectric effects. New Journal of Physics, 16, 123019, 2014
  2. Q. Deng*, L. P. Liu and P. Sharma. Flexoelectricity in Soft and Biological Materials (18pg), J. Mech. Phys. Solids, 62, 209-227, 2014.
  3. L. P. Liu. Inhomogeneities of minimum field concentration (8pg). Mechanics of Materials, 75, 95-102, 2014.
  4. L.  X. Hu* and L. P. Liu. Interfacial waves with surface elasticity (6pg). J. Appl. Mech, 81, 081007, 2014.
  5. Q. Deng*, L. P. Liu and P. Sharma. Electrets in soft materials: nonlinearity, size effects, and giant electromechanical coupling (7 pg). Phy. Rev. E, 90, 012603, 2014.
  6. L. P. Liu. A differential approach to microstructure-dependent bounds for multiphase heterogeneous media (8pg). Acta Mechanica, 225, 1245-1266, 2014.
  7. Y. Hanlumyuang, L.P. Liu and P. Sharma. Revisiting the entropic force between fluctuating biological membranes? (8pg)  J. Mech. Phys. Solids, 63, 179-186, 2014.
  8. L. P. Liu. An energy formulation of continuum magneto-electro-elastics with applications (30pg), J. Mech. Phys. Solids, 63:451-480, 2014.


  1. F. Ahmadpoor, Q. Deng, L. P. Liu and P. Sharma. Apparent flexoelectricity in lipid bilayer membranes due to external charge and dipolar distributions (5pg). Phy. Rev. E., 88, 050701 (Rapid Communication), 2013.
  2. L. P. Liu and P. Sharma. Giant and universal magneto-electric coupling in soft materials and concomitant ramifications for materials science and biology (5pg).  Phy. Rev. E., 88, 040601 (Rapid Communication), 2013.
  3. L. P. Liu and D. Onofrei. Engineering anisotropy to amplify a long wavelength field without a limit (15pg), Proc. of Roy. Soc. A, 469, 20130246, 2013.
  4. L. P. Liu and P. Sharma. Flexoelectricity and Thermal Fluctuations of Lipid Bilayer Membranes: Renormalization of Flexoelectric, Dielectric and Elastic Properties (8pg), Phy. Rev. E., 87, 032715, 2013.
  5. P. Mohammadi*, L. P. Liu, Pradeep Sharma. A Theory of Flexoelectric Membranes and Effective Properties of Heterogeneous Membranes, ASME J. Appl. Mech. 81(11 pg), 011007, 2013.
  6. L. P. Liu. On energy formulations of electrostatics for continuum media (23pg).  J.  Mech. Phys. Solids 61, 968-990, 2013
  7. L. P. Liu. Polynomial eigenstress inducing polynomial strain of the same degree in an ellipsoidal inclusion and its applications (13pg), Mechanics and Mathematics of Solids 18, 168-180, 2013.
  8. P. Mohammadi*, L. P. Liu, Pradeep Sharma, R. V. Kukta. Surface Energy, Elasticity and the Homogenization of Rough Surfaces, J. Mech. Phys. Solids 61, 325-340, 2013.


  1. Y. X. Zhang and L. P. Liu. On diffusion in heterogeneous media (20pg). American Journal of Science, 312, 1028-1047, 2012.
  2. L. P. Liu, Hsin-Yi Kuo.  Closed-form solutions to the effective properties of fibrous magnetoelectric composites and their applications (8pg). Int.  J.  Struct. Solids, 49, 3055-3062, 2012.
  3. L. P. Liu. A continuum theory of thermoelectric bodies and effective properties of thermoelectric composites (19pg). Int.  J.  Eng. Sci. 55, 35-53, 2012.


  1. L. X. Hu*, L. P. Liu, K. Bhattacharya. Existence of surface waves and band gaps in periodic heterogeneous half-spaces (15pg). J Elasticity, 107, 65-79, 2011.
  2. L. P. Liu. Designing magnets with prescribed fields (11 pg).  New Journal of Physics, 13, 033013, 2011.
  3. L. P. Liu. New optimal microstructures and restrictions on the attainable Hashin-Shtrikman bounds for multiphase composite materials. (9 pg) Phil. Mag. Lett. 91, 473, 2011.
  4. Vikram Gavini and L. P. Liu. An analysis of the field theoretic approach to quasi-continuum method (16pg).  J. Mech. Phys. Solids. 59, 1536-1551, 2011.


  1. L. P. Liu. Neutral shells and their applications in the design of electromagnetic shields (19pg). Proceedings of Royal Society A. 466 (2124) 3659-3677, 2010.
  2. L.P. Liu. Hashin-Shtrikman bounds and their attainability for multiphase composites (21pg). Proceedings of Royal Society A. 466 (2124) 3693-3713, 2010.
  3. L.P. Liu. Solutions to periodic Eshelby inclusion problems (34pg).  Mechanics and Mathematics of Solids. 15: 557-590, 2010.


  1. L.P. Liu and K. Bhattacharya. Wave propagation in a sandwich structure. (11pg) Int. J. Solids and Structures, 46: 3290-3300, 2009
  2. L.P. Liu. Effective conductivities of two-phase composites with a singular phase (9pg). J. Appl. Phys. 105, 103503, 2009.

2008 and before

  1. L.P. Liu. Solutions to the Eshelby conjectures (22pg).  Proceedings of Royal Society A, 464 (2091): 573-594, 2008.
  2. L.P. Liu, R.D. James, and P.H. Leo. Periodic inclusion-matrix microstructures with constant field inclusions (7pg). Met.  Mater. Trans. A, 38:781—787, 2007.
  3. L.P. Liu, R.D. James, and P.H. Leo. Magnetostrictive composites in the dilute limit (24pg).  J. Mech. Phys. Solids, 54 (5): 951--974, 2006.


  • Lixin Hu, Ph.D., graduated in 2015

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Department of Mathematics

Department of Mathematics
Rutgers University
Hill Center - Busch Campus
110 Frelinghuysen Road
Piscataway, NJ 08854-8019, USA

Phone: +1.848.445.2390
Fax: +1.732.445.5530