2014
Hypocoordinated solids in particulate media
Bertrand T, Schreck CF, O'Hern CS, Shattuck MD. Hypocoordinated solids in particulate media. Physical Review E 2014, 89: 062203. PMID: 25019766, DOI: 10.1103/physreve.89.062203.Peer-Reviewed Original ResearchConceptsInput kinetic energyInterparticle contactsParticle rearrangementGranular mediaContact forceRepulsive contact forcesParticulate systemsHarmonic responseParticulate mediaDegrees of freedomKinetic energyIsostatic valueAverage contact numberFourier transformFraction deviationSolidsFrictionless disks
2012
Contact percolation transition in athermal particulate systems
Shen T, O'Hern CS, Shattuck MD. Contact percolation transition in athermal particulate systems. Physical Review E 2012, 85: 011308. PMID: 22400566, DOI: 10.1103/physreve.85.011308.Peer-Reviewed Original ResearchConceptsBidisperse particle size distributionsPercolation transitionCompression stepParticle size distributionMechanical responseSystem-spanning clusterDisplacement fieldDilute configurationsApplied stressCooperative particle motionParticle motionIsotropic compressionPercolating networkParticulate systemsElastic energyFrictionless particlesTwo-dimensional systemsUnjammed stateSize distributionDynamical matrixJammed systemsAdjacency matrixSuccessive compressionSpatial dimensionsComputer simulations