Mathematical Sciences Colloquium - "Fracture Mechanics: The State of the Art, Limitations of Existing Paradigm and New Challenges." by Alexander Chudnovsky (University of Illinois at Chicago) Stratton Hall 203

Friday, November 03, 2017
11:00 am to 11:50 am


Floor/Room #: 


Alexander Chudnovsky
The University of Illinois at Chicago

Fracture Mechanics: The State of the Art, Limitations of Existing Paradigm and New Challenges.

ABSTRACT: For about a century Fracture Mechanics has been evolving in two main directions. One direction deals with determination of the displacement, strain and stress fields for elastic or inelastic solids with cracks. The pioneering work of Inglis (1913) marks the beginning of this direction that can be called the Computational Fracture Mechanics. A powerful combination of analytical and numerical methods developed over the time, and enhanced by recent advances in computational capabilities, allows solving of almost any practical problem.

Another direction of Fracture Mechanics is concerned with the physics of fracture. It was originated by A.A. Griffith (1921, 1925) and addresses the mechanism(s) and criteria of crack initiation, condition(s) of crack equilibrium and stability, mechanisms and kinetic equations of slow crack growth, rapid (dynamic) crack propagation, transition from slow to rapid crack growth, etc. In contrast with the well-developed Computational Fracture Mechanics, the physics of fracture is bursting with unsolved problems.

The statistical aspects of brittle fracture (manifested in large scatter of fracture parameters, stochastic character of crack trajectories, scale effects, etc.) present challenges to both directions.

This presentation is mainly focused on observations of the fracture growth mechanisms and the corresponding physical aspects of fracture. The experimental observations are in conflict with existing paradigm and present new challenges in modeling. An approach to Statistical Fracture Mechanics dealing with statistical aspects of fracture will be also addressed, time permitting.

Dr. Alexander Chudnovsky is UIC Distinguished Professor Emeritus and Director of Fracture Mechanics and Materials Durability Laboratory, The University of Illinois at Chicago. Information about Dr. A. Chudnovsky activity can be found at ASME Symposium on Fracture and Lifetime website



Friday, November 3, 2017


Stratton Hall 203