Education

•  Ph.D., Aerospace Engineering and Mechanics, University of Minnesota,Minnesota,2006
•  M.S., Aerospace Engineering and Mechanics, University of Minnesota, Minnesota,2003
•  B.E., Mechanics and Engineering Science, Peking University, Beijing, China,2000

Research Interests (Details)

• Mechanics and Materials: Solid Mechanics, Elasticity, Continuum, Crystallography, Plasticity, Fracture Mechanics
• Applied Mathematics: Analysis, Partial Differential Equations, Variational Inequalities, Microstructure Theory, Homogenization Theory, Г-Convergence
• Multiscale-Multiphysics Modelings: Modelings of Ferroelectric/Ferromagnetic/Ferroelastic Materials, Atomistic Models, Multifunctional Composites, Structural Optimizations, Coupled-Fields Analysis, Phononic and Photonic Crystals

Publications

1. L.P. Liu, R.D. James, P.H. Leo. Magnetostrictive composites in the dilute limit.  J. Mech. Phys. Solids, 54 (5): 951--974, 2006.
2. 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.
3. Liu, L.P., James, R.D., P.H. Leo. New extremal inclusions and their applications to two-phase composites. Submitted to Archive for Rational Mechanics and Analysis, Preprint.
4. Liu, L.P. Solutions to the Eshelby conjectures.  Proceedings of Royal Society A (DOI: 10.1098/rspa.2007.0219), Preprint.
5. Liu, L.P. Hashin-Shtrikman bounds for multiphase composites and their attainability. Submitted to Archive for Rational Mechanics and Analysis, Preprint.
6. Liu, L.P., Bhattacharya, K., Existence of free surface waves in periodic heterogeneous half-spaces. Submitted to Proceedings of Royal Society A, Preprint.
7. Liu, L.P., Bhattacharya, K., Wave propagation in a sandwich structure. Submitted to International Journal of Solids and Structures, Preprint.

Presentations

• SIAM Conference on Analysis of Partial Differential Equations, Mesa, Arizona, December 2007.
• ASME Applied Mechanics and Materials Conference, Austin, Texas, June 2007.
• Speaker for the applied math seminar, University of Utah, Salt Lake City, Utah, April 2007.
• Speaker for the applied math seminar, Temple University. Philadelphia, Pennsylvania, March 2007.
• Speaker for GALCIT Colloquium, California Institute of Technology, Pasadena, California, January 2007.
• SIAM Conference on Analysis of Partial Differential Equations, Boston, Massachusetts, July 2006.
• SIAM Conference on Mathematical Aspects of Material Science, Los Angeles, California, May 2004.

Professional Activities

• IMA workshop: July 23-August 3, 2007, Classical and Quantum Approaches in Molecular Modeling, Minneapolis, Minnesota
• Referee for Journal of the Mechanics and Physics of Solids, Multiscale Modeling and Simulation, Acta Materialia
• Intern Engineer, summer 2006. Micron Technology, Inc. Boise, Idaho
• Solid Mechanics and Material Seminar Coordinator from 2004 to 2006. Aerospace Engineering and Mechanics, University of Minnesota
• Research Assistant, 2001-2006. Aerospace Engineering and Mechanics, University of Minnesota
• Teaching Assistant, 2000-2001. Aerospace Engineering and Mechanics, University of Minnesota

Last updated: January 5, 2008