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A Finite-Element Study of the Asymptotic Near-Tip Fields for Mode I Plane-Strain Cracks Growing Stably in Elastic-Ideally Plastic Solids / T-L Sham

Conference Author
Elastic-Plastic Fracture: Second Symposium, Volume I¿̐ưInelastic Crack Analysis (2nd : 1981 : Philadelphia, Pennsylvania)
Physical Description
1 online resource (28 pages) : illustrations, figures, tables
Additional Creators
Sham, T-L, American Society for Testing and Materials, and ASTM International
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Summary
The asymptotic near-tip stress and deformation fields for a Mode I plane-strain crack growing quasi-statically in an elastic-ideally plastic solid under small-scale yielding conditions are analyzed numerically by the finite-element method. The asymptotic analyses of Rice and Sorensen; Rice, Drugan, and Sham; and Drugan, Rice, and Sham predict that the crack opening rate ?? at a small distance r from the growing crack tip under contained yielding conditions is given by ??=?J?0+??0E?alnRrasr->0 where a is the crack length, ?0 the tensile yield strength, E Young's modulus, J the farfield value of the J-integral evaluated on contours in the elastic region, ? = 5.462 (Drugan et al) for Poisson ratio ? = 0.3, and the parameters ? and R are undetermined by the asymptotic analysis. The finite-element solutions generated are very detailed, with the maximum extent of the plastic zone being about 100 times the smallest element size. This high resolution in the finite-element solution enables correlation of the finite-element results with the asymptotic crack opening rate to be made and the expressions for the parameters ? and R to be determined. Various crack growth histories are simulated by relaxing the nodal force at the crack tip and simultaneously increasing the external applied load in order to investigate the possible dependence of ? and R on the crack growth history. The maximum amount of crack growth simulated is about 20 percent of the maximum extent of the plastic zone size. The numerical results reveal that a well-defined elastic unloading sector develops and moves with the advancing crack tip and its location coincides well that predicted by the asymptotic analysis. Estimation from the numerical results gives ? = 5.46, which is in very good agreement with the asymptotic result. The parameter ? is found to be independent of the crack growth histories examined and has a value of 0.58. An attempt to relate R to the quantity EJ/?02 is made. However, it is found that the parameter s, defined by s ? R/(EJ/?02), varies in a range 0.113 to 0.133 for the crack growth histories simulated. Thus, the precise definition for R remains unclear.
Dates of Publication and/or Sequential Designation
Volume 1983, Issue 803V1 (January 1983)
Subject(s)
Other Subject(s)
ISBN
9780803148697 (e-ISBN)
9780803107274
0803107277
Digital File Characteristics
text file PDF
Bibliography Note
Includes bibliographical references 24.
Other Forms
Also available online via the World Wide Web. Tables of contents and abstracts freely available; full-text articles available by subscription.
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Also available in PDF edition.
Reproduction Note
Electronic reproduction. W. Conshohocken, Pa. : ASTM International, 1983. Mode of access: World Wide Web. System requirements: Web browser. Access may be restricted to users at subscribing institutions.
Technical Details
Mode of access: World Wide Web.
Source of Acquisition
ASTM International PDF Purchase price USD25.
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