Reduced Basis Approximation and A Posteriori Error Estimation for Stress Intensity Factors: Application to Failure Analysis
Author(s)
Huynh, Dinh Bao Phuong
Peraire, Jaime
Patera, Anthony T.
Liu, Guirong
Date Issued
January 2007
Series/Report no.
Computational Engineering (CE)
Abstract
This paper reports the development of reduced
basis approximations, rigorous a posteriori error bounds, and offline-online computational procedures for the accurate, fast and reliable predictions of stress intensity factors or strain energy release rate for “Mode I” linear elastic crack problem. We demonstrate the efficiency and rigor of our numerical method in several examples. We apply our method to a practical failure design application.
Subjects
Reduced Basis Approximation
A Posteriori Error Estimation
Offline-Online Procedures
Fracture Mechanics
Stress Intensity Factor
Energy Release Rate
Linear Elasticity
Finite Element Method
Quadratic Outputs
Persistent DSpace Link
