Robert P. Lipton
Nicholson Professor
Department of Mathematics Louisiana State University
lipton@lsu.edu
Research Overview
1.The macroscopic effect of microscopic interfaces. Description
2. Rigorous Theory for Accurate Multi-scale Analysis with Non Well-seperated Length Scales scales. Description
3. Non-local modeling for understanding the fracture process and the creation of interface. Recovering the kinetic relation of LEFM without Mott's hypothesis Description
4. Novel wave phenomena due to sub-wavelength resonances and multiple scattering: meta-materials and photonic band gap crystals. Description
5. Worst case boundary loads for bolted or joined composites. Description
6. The macroscopic effect of the microstructure on strength: Strong composites. Description
7. Extraction of the effect of microstructure on extreme elastic properties. Description
8. Nonlocal models and two-scale homogenization for dynamics in heterogeneous elastic media. Description