Growth of Three-Dimensional Cracks
Seminar | April 8 | 2-3 p.m. | 3110 Etcheverry Hall
Professor Gregory J. Rodin, Department of Aerospace Engineering and Engineering Mechanics, Institute for Computational Engineering and Sciences, University of Texas at Austin
Abstract: Growth of three-dimensional cracks is modeled as a continuous sequence of initiation events during which the crack front remains smooth. Two issues of importance are addressed. First, it is established that, at each point along the crack front, the velocity and configurational force are two-dimensional vectors, lying in the local normal plane. This allows one to generalize any two-dimensional crack growth criterion to three dimensions. Second, a simple mesoscopic model to account for along-the-crack-front non-locality is proposed. This model eliminates pathological growth patterns ubiquitous to three-dimensional cracks, and it is easy to use, as it relies on standard fracture properties only.
Biography: G. J. Rodin is Professor of Aerospace Engineering and Engineering Mechanics at The University of Texas at Austin, where he has been on the faculty since 1986. He is also affiliated with the Institute for Computational Engineering and Science.Professor Rodin studied engineering at Saint-Petersburg Technical University in Russia, and earned his Ph.D. degree in Mechanical Engineering from Massachusetts Institute of Technology in 1986. Professor Rodin was awarded Research Initiation Grant by the National Science Foundation in 1987, ALCOA Foundation Awards in 1991 and 1993, and was chosen as a Temple Foundation Fellow in 1995. He has held visiting positions at Ecole Normale Superior (France), Ecole Polytechnique (France), University of Stuttgart (Germany), University of Liverpool (UK), and University of Minnesota.Professor Rodin's primary research interests are in mechanics of materials. He is particularly interested in various aspects of multi-scale modeling of complex materials and fracture. He has published papers in the leading journals in mechanics of materials, computational and applied mathematics, chemical physics, and fluid mechanics.