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Use of adjoint methods in the probabilistic finite element approach to fracture mechanicsThe adjoint method approach to probabilistic finite element methods (PFEM) is presented. When the number of objective functions is small compared to the number of random variables, the adjoint method is far superior to the direct method in evaluating the objective function derivatives with respect to the random variables. The PFEM is extended to probabilistic fracture mechanics (PFM) using an element which has the near crack-tip singular strain field embedded. Since only two objective functions (i.e., mode I and II stress intensity factors) are needed for PFM, the adjoint method is well suited.
Document ID
19880045119
Document Type
Conference Paper
Authors
Liu, Wing Kam (Northwestern Univ. Evanston, IL, United States)
Besterfield, Glen (Northwestern Univ. Evanston, IL, United States)
Lawrence, Mark (Northwestern Univ. Evanston, IL, United States)
Belytschko, Ted (Northwestern University Evanston, IL, United States)
Date Acquired
August 13, 2013
Publication Date
January 1, 1988
Subject Category
STRUCTURAL MECHANICS
Report/Patent Number
AIAA PAPER 88-2420
Meeting Information
Structures, Structural Dynamics and Materials Conference(Williamsburg, VA)
Distribution Limits
Public
Copyright
Other