The Use of Fundamental Singular Solutions of Elasticity to Solve Crack Problems
发表时间:2021-11-11 阅读次数:1239次


特邀报告人:Roberto Ballarini 教授 (美国休斯顿大学)

主持人:任晓丹 副教授

报告题目:The Use of Fundamental Singular Solutions of Elasticity to Solve Crack Problems


Part I:11月5日上午10:00-12:00

Part II:11月11日上午10:00-12:00

Part III:11月18日上午10:00-12:00


Dr. Roberto Ballarini is Thomas and Laura Hsu Professor and Chair of the Civil and Environmental Department at the University of Houston. His multidisciplinary research focuses on the development and application of theoretical, computational and experimental techniques to characterize the response of materials and structures to mechanical, thermal, and environmental loads. Ballarini is particularly interested in formulating analytical/computational models and innovative experiments for characterizing fatigue and fracture. Ballarini’s research has been applied to problems arising in civil/mechanical/aeronautical/aerospace/biomedical engineering, materials science, microelectromechanical systems, and nanotechnology. He has published more than 120 papers in refereed journals, including Science and Nature, and several of his research projects have been featured in the popular press, including the New York Times Science Times, American Scientist, Business Week, Financial Times, and Geo. Ballarini is a Distinguished Member of the American Society of Civil Engineers (ASCE); Past-President of the ASCE Engineering Mechanics Institute; past Editor-in-Chief of ASCE Journal of Engineering Mechanics; and the recipient of the 2019 ASCE Raymond D. Mindlin Medal. Professor Ballarini is recognized as an extraordinary teacher and mentor to students who have gone on to highly successful careers in engineering, medicine, and business.


This course serves as an introduction to the formulation of problems involving cracks in elastic structures and materials using the Green’s function method.  The discussion will be limited to plane stress and plane strain. Using the fundamental solutions for edge dislocations and point forces, and their distributions, it is shown how the problem is reduced to a system of singular integral equations that represent the boundary conditions. This method has the advantage of having a clear physical motivation and interpretation, and of producing the most accurate results for all physical quantities including stress intensity factors and energy release rates.


1.       Introduction.

2.       Fundamental solutions; point force and edge dislocation.

3.       Boundary conditions.

4.       Distributions of forces and dislocations.

5.       Illustrative problem solved using distributed forces; the exterior crack.

6.       Illustrative problem solved using distributed dislocations; the Griffith crack.

7.       Numerical solution of singular integral equations using Chebyshev Polynomials.



课程讲义(updated on 11/5/2021):点击下载

课程讲义(updated on 11/10/2021):点击下载


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