Department of Mathematics Directory
- Liping Liu
- Professor of Mathematics & Mechanical Aerospace Engineering
- TTF
- Faculty, Research
- Applied Analysis
- Specialty Area: Mechanics and Mathematics of Materials
- Email: ll502@rutgers.edu
- Location:
- Campus: busch
- Office hours - 1:
HLL 516
- Campus (2): busch
- Office hours - 2:
MW 3:15pm 4:45pm
- Research Interests: Mechanics and Mathematics of Materials
- Bio:
Professor of Mathematics, and Mechanical Aerospace Engineering, Rutgers University, New Brunswick, NJ
EDUCATION:
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
PROFESSIONAL EXPERIENCE:
Jul. 2019 - Present Professor, Department of Mathematics & Department of
Mechanical Aerospace Engineering, Rutgers University, NJ
Jul. 2014 - Jul. 2019 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
AWARDS AND HONORS:
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Best Dissertation Award, College of Science and Engineering, University of Minnesota (one awardee per year in the college), 2008
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Professor of the Year (Teaching Award), American Society of Mechanical Engineering at University of Houston, 2010
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Young Investigator Program Award, AFOSR, 2012
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Eshelby Award for Young Faculty, 2014
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CAREER Award, NSF: CMMI, 2014
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Young Investigator Medal, Society of Engineering Science, 2015
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Melville Medal for the best paper, ASME, 2015 (Coauthored with Parnia Mohammadi and Pradeep Sharma)
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Simons Fellow, Simons Foundation, 2016
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Chancellor’s Scholar Award, Rutgers University, 2016
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T.J Hughes Young Investigator Award, ASME, 2018
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- Publications:
Google Scholar Link (Disclaimer: auto-managed by google, not always manually verified)
2022
- M Torbati, K Mozaffari, L Liu, P Sharma, Coupling of mechanical deformation and electromagnetic fields in biological cells, Reviews of Modern Physics 94 (2), 025003, 2022
- K Mozaffari, L Liu, P Sharma, Theory of soft solid electrolytes: Overall properties of composite electrolytes, effect of deformation and microstructural design for enhanced ionic conductivity, Journal of the Mechanics and Physics of Solids 158, 104621, 2022
- N Khodabandehloo, K Mozaffari, L Liu, P Sharma, Micro-Structural Design of Soft Solid Composite Electrolytes with Enhanced Ionic Conductivity, Journal of Applied Mechanics, 1-12, 2022
2021
- T Yuan, W Yuan, L Liu, JW Shan, Electric-field-controlled diffusion of anisotropic particles: theory and experiment, Journal of Fluid Mechanics 924, 2021
- K Tan, X Wen, Q Deng, S Shen, L Liu, P Sharma, Soft rubber as a magnetoelectric material—Generating electricity from the remote action of a magnetic field, Materials Today 43, 8-16, 2021
- F. Darbaniyan, K. Mozaffari, L. Liu, P. Sharma, Soft matter mechanics and the mechanisms underpinning the infrared vision of snakes, Matter 4 (1), 241-252, 2021
- R Li, C Ibar, Z Zhou, S Moazzeni, AN Norris, KD Irvine, L Liu, H Lin, E2 and gamma distributions in polygonal networks
Physical Review Research 3 (4), L042001, 2021 - Seyedsajad Moazzeni, Yasir Demiryurek, Miao Yu, David I Shreiber, Jeffrey D Zahn, Jerry W Shan, Ramsey A Foty, Liping Liu, Hao Lin, Single-cell mechanical analysis and tension quantification via electrodeformation relaxation, Physical Review E 103 (3), 032409, 2021
2020
- X Zhu, Z Qian, X Chen, L Liu, C Sheng, W Gu, Electrohydrodynamics-printed silver nanoparticle flexible pressure sensors with improved gauge factor, IEEE Sensors Journal 21 (5), 5836-5844, 2020
2019
- S. Krichen, L. Liu, P. Sharma, “Liquid inclusions in soft materials: capillary effect, mechanical stiffening and enhanced electromechanical response”, Journal of the Mechanics and Physics of Solids, 127, 332-357, 2019.
- F. Darbaniyan, K. Dayal, L. Liu, P. Sharma, “Designing soft pyroelectric and electrocaloric materials using electrets”, Soft Matter, 15, 262 – 277, 2019.
- Yuan, W., Tutuncuoglu, G., Mohabir, A., Liu, L., Feldman, L. C., Filler, M. A., & Shan, J. (2019). Contactless Electrical and Structural Characterization of Semiconductor Nanowires with Axially Modulated Doping Profiles. Small, 15(15).
2018
- L. P. Liu, P. Sharma. Emergent electromechanical coupling of electrets and some exact relations —The effective properties of soft materials with embedded external charges and dipoles. J. Mech. Phys. Solids, 112:1-24, 2018.
- M. Yu, A. Mahtabfar, P. Beelen, Y. Demiryurek, D. Shreiber, J. D. Zahn, R. Foty, L.P. Liu, H. Lin. Coherent Timescales and Mechanical Structure of Multi-Cellular Aggregates. Biophysical Journal, 114(3), p652a, 2018 .
2017
- W. Wang, L.P. Liu. Solitary waves in two dimensional granular crystals. Acta Mechanica, 2017, In Press.
- 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.
- 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.
- 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.
- 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.
- 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.
2016
- H. Agrawala*, L.P. Liu, P. Sharma. Revisiting the curvature-mediated interactions between proteins in biological membranes. Soft Matter, 12(43):8907-8918, 2016.
- 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.
- 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.
- 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.
2015
- 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.
- 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.
- 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.
- 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
2014
- L. P. Liu. Feasibility of Large-scale power plants based on thermoelectric effects. New Journal of Physics, 16, 123019, 2014
- Q. Deng*, L. P. Liu and P. Sharma. Flexoelectricity in Soft and Biological Materials (18pg), J. Mech. Phys. Solids, 62, 209-227, 2014.
- L. P. Liu. Inhomogeneities of minimum field concentration (8pg). Mechanics of Materials, 75, 95-102, 2014.
- L. X. Hu* and L. P. Liu. Interfacial waves with surface elasticity (6pg). J. Appl. Mech, 81, 081007, 2014.
- 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.
- L. P. Liu. A differential approach to microstructure-dependent bounds for multiphase heterogeneous media (8pg). Acta Mechanica, 225, 1245-1266, 2014.
- 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.
- L. P. Liu. An energy formulation of continuum magneto-electro-elastics with applications (30pg), J. Mech. Phys. Solids, 63:451-480, 2014.
2013
- 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.
- 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.
- 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.
- 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.
- 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.
- L. P. Liu. On energy formulations of electrostatics for continuum media (23pg). J. Mech. Phys. Solids 61, 968-990, 2013
- 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.
- 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.
2012
- Y. X. Zhang and L. P. Liu. On diffusion in heterogeneous media (20pg). American Journal of Science, 312, 1028-1047, 2012.
- 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.
- L. P. Liu. A continuum theory of thermoelectric bodies and effective properties of thermoelectric composites (19pg). Int. J. Eng. Sci. 55, 35-53, 2012.
2011
- 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.
- L. P. Liu. Designing magnets with prescribed fields (11 pg). New Journal of Physics, 13, 033013, 2011.
- 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.
- 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.
2010
- 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.
- L.P. Liu. Hashin-Shtrikman bounds and their attainability for multiphase composites (21pg). Proceedings of Royal Society A. 466 (2124) 3693-3713, 2010.
- L.P. Liu. Solutions to periodic Eshelby inclusion problems (34pg). Mechanics and Mathematics of Solids. 15: 557-590, 2010.
2009
- L.P. Liu and K. Bhattacharya. Wave propagation in a sandwich structure. (11pg) Int. J. Solids and Structures, 46: 3290-3300, 2009
- L.P. Liu. Effective conductivities of two-phase composites with a singular phase (9pg). J. Appl. Phys. 105, 103503, 2009.
2008 and before
- L.P. Liu. Solutions to the Eshelby conjectures (22pg). Proceedings of Royal Society A, 464 (2091): 573-594, 2008.
- 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.
- 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.
- Mailing Address:
110 Frelinghuysen Rd., Piscataway, NJ 08854-8019
- Research Description:
Our research group at Rutgers University focus on mechanics and materials --- multiscale-multiphysics analysis and modeling, optimal design of multiphase and multifunctional composites, and theoretical and computational material science.
Research topics we are interested ininclude:
Optimal bounds and optimal microstructures for multiphase composites
Predictive modeling of multifunctional composites
Dynamic modeling of heterogeneous structures/media
Variational inequalities and their applications in designs
Superconductive composites and modeling
Thermoelectric materials, modeling, design and energy harvesting
Continuum theory for multiferroic materials
Multiscale analysis: homogenization theory and theories for lower dimensional bodies
- Undergraduate Research Mentees:
- Lixin Hu, Ph.D., graduated in 2015
- Hanxiong Wang, Ph.D., graduated in 2019
- Wuhan Yuan, Ph.D., graduated in 2019
- Talks:
1. Optimal bounds and optimal microstructures for multiphase composites