PHYSICAL MATHEMATICS SEMINAR TOPIC: VISCOELASTIC LATTICE MODELS OF BRITTLE FRACTURE SPEAKER: HERBERT LEVINE Department of Physics University of California, San Diego ABSTRACT: Following the pioneering efforts of Slepyan and later, Marder and Gross, we study brittle fracture in an idealized lattice model of nonlinear springs. For a discontinuous force law, steady-state cracks can be studied analytically via the Wiener-Hopf technique; for more general laws, these cracks and their stability can be studied numerically via iterative algorithms. Results to date include data on the effects of (microscopic) dissipation on crack dynamics, findings on how the range of arrested crack solutions depends on the force law assumptions, and a new stability analysis which shed light on the transition to more complex crack tip dynamics. DATE: TUESDAY, FEBRUARY 22, 2000 TIME: 2:30 PM LOCATION: Building 2, Room 338 Refreshments will be served at 3:30 PM in Building 2, Room 349 Massachusetts Institute of Technology Department of Mathematics Cambridge, MA 02139