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Fellow, Society for Industrial and Applied Mathematics

Fellow, American Mathematical Society

LSU Distinguished Research Master Award and University Medal

American Association of the Advancement of Science (AAAS)

Society for Engineering Science (SES)

American Mathematical Society (AMS)

Society for Industrial and Applied Mathematics (SIAM)

Society for Natural Philosophy (SNP)

Materials Research Society (MRS)

United States Association for Computational Mechanics (USACM)

A multiscale fracture model using peridynamic enrichment of finite elements within an adaptive partition of unity: Experimental validation

Fracture as an Emergent Phenomenon

Nodal finite element approximation of peridynamics

Macroscopic effects of intraparticle fracture, grain topology and shape on vehicle dynamics and mobility over gravel road beds

Energy balance and damage for dynamic fast crack growth from a nonlocal formulation

Wave Propagation & Metamaterials

Robert Lipton works on the multi-scale analysis of heterogeneous media. Lipton's research includes the following areas: Identification of new wave phenomena due to sub-wavelength resonances and multiple scattering. Accurate multi-scale analysis of heterogeneous media with non well separated length scales. Non-local modeling for understanding the fracture process and the creation of interface. Chacterizing the macroscopic effect of the microstructure on strength. Identifying the macroscopic effect of microscopic interfaces. Extraction of the effect of microstructure on extreme elastic properties.

Heterogeneous Media

Advanced Composites

Wave Propagation

Metamaterials

Photonics

LSU Faculty Profile

Google Scholar Citations

Wikipedia Page

Microwaving Saturn

LSU Math Professor Robert Lipton Secures $1.25 Million MURI Award to Help Improve Materials Durability

Multiscale Problems: Algorithms, Numerical Analysis and Computation

Dynamic Brittle Fracture as a Well Posed Nonlocal Initial Value Problem

Fracture as Emergent Phenomena

Predicting and Controlling the response of Particulate Systems through Grain Scale Engineering

Title: Designing Mutable Metamaterials with Photo-Adaptive Meta-Atoms

Complexity, Nonlocality, and Uncertainty in Heterogeneous Solids

Nicholson Professor

Recorded 18 April 2023. Robert Lipton of Louisiana State University presents "Fracture as an emergent phenomenon" at IPAM's workshop for Scale-Bridging Materials Modeling at Extreme Computational Scales.
Abstract: The mechanics of fracture propagation provides essential knowledge for the risk tolerant design of devices, structures, and vehicles. Ideally fracture should emerge naturally from a field theory described by an initial boundary problem. Nonlocal approaches to fracture modeling are formulated along these lines, coupling fracture caused by breaking bonds at the atomic scale with continuous and discontinuous deformation at the macroscopic scale. Both localization and emergent behavior is the hallmark of theory and simulations using Peridynamic formulations.
In this talk we first discuss the role of nonlocal potentials and multi-scaling as it relates to fracture toughness, kinetic relations, and the flow of elastic energy into singularities. Second we address computational implementations with applications to dynamic and quasi-static fracture and large particle flow simulations (joint work with Debdeep Bhattacharya).
Learn more online at: http://www.ipam.ucla.edu/programs/workshops/workshop-ii-scale-bridging-materials-modeling-at-extreme-computational-scales/

Robert Lipton - Fracture as an emergent phenomenon - IPAM at UCLA

Distinguished Research Master award ceremony, with honoring Dr. Robert Lipton and Dr. Pius Ngandu.

Pius Nkashama Ngandu is a distinguished professor of French language and literature in the LSU Department of French Studies and Comparative Literature. He was also the director of the Center for French and Francophone studies at LSU.

Robert P. Lipton is an American mathematician and academic who is noted in particular for his research into the mathematics of materials and their translation to engineering applications. Lipton is a fellow of the AAAS, American Mathematical Society and Society for Industrial and Applied Mathematics.

LSU Distinguished Research Master Award Ceremony

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