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Methods for analysis of cracks in three-dimensional solidsVarious analytical and numerical methods used to evaluate the stress intensity factors for cracks in three-dimensional (3-D) solids are reviewed. Classical exact solutions and many of the approximate methods used in 3-D analyses of cracks are reviewed. The exact solutions for embedded elliptic cracks in infinite solids are discussed. The approximate methods reviewed are the finite element methods, the boundary integral equation (BIE) method, the mixed methods (superposition of analytical and finite element method, stress difference method, discretization-error method, alternating method, finite element-alternating method), and the line-spring model. The finite element method with singularity elements is the most widely used method. The BIE method only needs modeling of the surfaces of the solid and so is gaining popularity. The line-spring model appears to be the quickest way to obtain good estimates of the stress intensity factors. The finite element-alternating method appears to yield the most accurate solution at the minimum cost.
Document ID
19840022261
Acquisition Source
Legacy CDMS
Document Type
Technical Memorandum (TM)
Authors
Raju, I. S. (NASA Langley Research Center Hampton, VA, United States)
Newman, J. C., Jr. (NASA Langley Research Center Hampton, VA, United States)
Date Acquired
September 4, 2013
Publication Date
July 1, 1984
Subject Category
Structural Mechanics
Report/Patent Number
NASA-TM-86266
NAS 1.15:86266
Accession Number
84N30330
Funding Number(s)
PROJECT: RTOP 505-33-23
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.

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