• L.X. Hu*, L. P. Liu, From atomistics to continuum: effects of a free surface and determination of surface elasticity properties, Mechanics of Material, submitted, 2015.
  • Z. Alameh, Q. Deng, L. P. Liu and P. Sharma. Using electrets to design concurrent magnetoelectricity and piezoelectricity in soft materials. Journal of Material Research, In press, 2014.


  • L. P. Liu. Feasibility of Large-scale power plants based on thermoelectric effects. New Journal of Physics, 16, 123019, 2014.
  • L.P. Liu. An energy formulation of continuum magneto-electro-elastics with applications, J. Mech. Phys. Solids 63:451-480, 2014.
  • D. Qian*, L. P. Liu and P. Sharma. Flexoelectricity in Soft and Biological Materials,  J. Mech. Phys. Solids, 62:209-227, 2014.
  • Y. Hanlumyuang*, L.P. Liu and P. Sharma. Revisiting the entropic force between fluctuating biological membranes? J. Mech. Phys. Solids, 63:179-186, 2014.
  • L. P. Liu. A differential approach to microstructure-dependent bounds for multiphase heterogeneous media. Accepted to Acta Mechanica, 225, 1245-1266, 2014.
  • L. P. Liu. Geometries of minimum field concentration. Mechanics of Materials, 75, 95-102, 2014.
  • L. X. Hu* and L. P. Liu. Interfacial waves with surface elasticity. ASME J Appl. Mech, 81, 081007, 2014.


  • P. Mohamad*, 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.
  • L. P. Liu. Polynomial eigenstress inducingpolynomial strain of the same degreein an ellipsoidal inclusion and itsapplications, Mechanics and Mathematics of Solids, 18, 168-180, 2013. .
  • L. P. Liu. On energy formulations of electrostatics for continuum media. J. Mech. Phys. Solids 61, 968-990, 2013.
  • P. Mohammadi*, L. P. Liu, Pradeep Sharma. A Theory of Flexoelectric Membranes and Effective Properties ofHeterogeneous Membranes, ASME J. Appl. Mech. 81, 011007, 2013.
  • L. P. Liu and P. Sharma. Flexoelectricity and Thermal Fluctuations of Lipid Bilayer Membranes: Renormalization of Flexoelectric, Dielectric and Elastic Properties, Phy. Rev. E., 87, 032715, 2013.
  • L. P. Liu and D. Onofrei. Engineering anisotropy to amplify a long wavelength field without a limit, Proc. of Roy. Soc. A, 469, 20130246, 2013.
  • L. P. Liu and P. Sharma. Giant and universal magneto-electric coupling in soft materials and concomitant ramifications for materials science and biology.  Phy. Rev. E., 88, 040601 (Rapid Communication), 2013.
  • F. Ahmadpoor, Q. Deng, L. P. Liu and P. Sharma.Apparent flexoelectricity in lipid bilayer membranes due to external charge anddipolar distributions. Phy. Rev. E., 88, 050701 (Rapid Communication), 2013.


  • L.P. Liu. "A continuum theory of thermoelectric bodies and effective properties of thermoelectric composites." International Journal of Engineering Science, 55, 35-53, 2012.
  • L. P. Liu, Hsin-Yi Kuo. Closed-form solutions to the effective properties of fibrous magnetoelectric composites and their applications. Int.  J.  Struct. Solids, 49, 3055-3062, 2012.
  • Y. X. Zhang, L. P. Liu. On diffusion in heterogeneous media. American Journal of Science 312, 1028-1047, 2012.
  • L. P. Liu. On energy formulations of electrostatics for continuum media.  J.  Mech. Phys. Solids, In press, 2012.


  • V. Gavini and L.P. Liu. "A homogenization analysis of the field theoretic approach to the quasi-continuum method." J. Mech. Phys. of Solids, 59, 1536--1551, 2011.
  • L.P. Liu."Designing magnets with prescribed fields." 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." Phil. Mag. Lett, 91 473-482,2011
  • L. X. Hu and L. P. Liu and K. Bhattacharya. "Existence of surface waves and band gaps in periodic heterogeneous half-spaces." J. of Elasticity, 107, 65-79, 2011


  • L.P. Liu. "Hashin-Shtrikman bounds and their attainability for multi-phase composites." Proc. Roy. Soc. A, 466, 3693-3713, 2010
  • L.P. Liu."Neutral shells and their applications in the design of electromagnetic shields." Proc. Roy. Soc. A, 466, 3659-3677, 2010
  • L.P. Liu. "Solutions to periodic Eshelby inclusion problem in two dimensions." Mathematics and Mechanics of Solids, 15, 557-590, 2010


  • L.P. Liu. "Effective conductivities of two-phase composites with a singular phase." J. Appl. Physics. 105, 103503, 2009
  • L.P. Liu, K. Bhattacharya."Wave propagation in a sandwich structure." Int. J. Solids and Structures, 46, 3290-3300, 2009
  • L.P. Liu, R.D. James, P.H. Leo. "New extremal inclusions and their applications to two-phase composites." Archive for Rational Mechanics and Analysis, Accepted, 2009


  • L.P. Liu. "Solutions to the Eshelby conjectures." Proceedings of Royal Society A, 464, 573 – 594, 2008


  • L.P. Liu, R.D. James, P.H. Leo. "Periodic inclusion-matrix microstructures with constant field inclusions." Metallurgical and Materials Transactions A, 38, 781 – 787, 2007


  • L.P. Liu, R.D. James, P.H. Leo. "Magnetostrictive composites in the dilute limit." J. Mech. Phys. Solids, 54, 951 – 974, 2006

Selected Published Conference Articles