Robert Lipton

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A rigorous multiscale method is presented for modeling the dynamics of fiber-reinforced composite structures using the peridynamic formulation. The multiscale analysis delivers a new multiscale numerical method that captures the dynamics at structural length scales while at the same time is capable of resolving the dynamics at the length scales of the fiber(More)
The purpose of this paper is to connect two critical aspects of nano-composite materials engineering. The nano-elements considered here derive from the class of high aspect ratio nematic polymers, either rod-like or platelet spheroids. First, the overall electrical properties of polymer nano-composites are well approximated by the effective electrical(More)
  • Venkata Sriram, Siddhardh Nadendla, Shaungqing Wei, Xue-Bin Liang, Robert Lipton
  • 2009
To my parents ii Acknowledgements I am delighted to express my sincere gratitude to my major advisor, Dr. Morteza Naraghi-Pour for his exemplary support and guidance for my intellectual progress. He taught me how to approach a problem and inspired me how to be patient in dark times when progress is slow and overcome all the hurdles on the way towards my(More)
Heat conduction in a ne scale mixture of two conductors is examined in the presence of a contact resistance between phases. The problem is studied rigorously in the context of periodic homogenization. Unlike the case of perfect heat transmission between phases, the temperature elds studied here may converge weakly in L 2 to the homogenized temperature. The(More)
New variational principles are introduced, describing the eective conductivity tensor for anisotropic two-phase heat conducting composites with interfacial surface resistance between phases. These principles reduce to those of Hashin and Shtrikman in the limit of vanishing surface resistance. The new principles allow for an unconstrained class of trial(More)
  • Maria Cristina Tugurlan, B Sc, M Sc, Jimmie Lawson, Robert Lipton, Robert Perlis +6 others
  • 2008
Acknowledgments I would like to express my sincere gratitude to my research advisor Professor Blaise Bourdin for the suggestion of the topic. This dissertation would have not been possible without his continuous support, help, guidance, and endless patience. It is a pleasure to give thanks to all my professors at Louisiana State University, and especially(More)