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Elastic-Plastic J-Integral Solutions or Surface Cracks in Tension Using an Interpolation Methodology
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Author and Affiliation:
Allen, P. A.(NASA Marshall Space Flight Center, Huntsville, AL, United States);
Wells, D. N.(NASA Marshall Space Flight Center, Huntsville, AL, United States)
Abstract: No closed form solutions exist for the elastic-plastic J-integral for surface cracks due to the nonlinear, three-dimensional nature of the problem. Traditionally, each surface crack must be analyzed with a unique and time-consuming nonlinear finite element analysis. To overcome this shortcoming, the authors have developed and analyzed an array of 600 3D nonlinear finite element models for surface cracks in flat plates under tension loading. The solution space covers a wide range of crack shapes and depths (shape: 0.2 less than or equal to a/c less than or equal to 1, depth: 0.2 less than or equal to a/B less than or equal to 0.8) and material flow properties (elastic modulus-to-yield ratio: 100 less than or equal to E/ys less than or equal to 1,000, and hardening: 3 less than or equal to n less than or equal to 20). The authors have developed a methodology for interpolating between the goemetric and material property variables that allows the user to reliably evaluate the full elastic-plastic J-integral and force versus crack mouth opening displacement solution; thus, a solution can be obtained very rapidly by users without elastic-plastic fracture mechanics modeling experience. Complete solutions for the 600 models and 25 additional benchmark models are provided in tabular format.
Publication Date: Apr 01, 2013
Document ID:
20130012740
(Acquired Apr 21, 2013)
Subject Category: STRUCTURAL MECHANICS
Report/Patent Number: NASA/TP-2013-217480, M-1356
Document Type: Technical Report
Publication Information: (SEE 20130012796)
Financial Sponsor: NASA Marshall Space Flight Center; Huntsville, AL, United States
Organization Source: NASA Marshall Space Flight Center; Huntsville, AL, United States
Description: 104p; In English; Original contains color and black and white illustrations
Distribution Limits: Unclassified; Publicly available; Unlimited
Rights: No Copyright
NASA Terms: CRACKS; FINITE ELEMENT METHOD; FLAT PLATES; FRACTURE MECHANICS; INTERPOLATION; J INTEGRAL; MODULUS OF ELASTICITY; NONLINEARITY; THREE DIMENSIONAL MODELS
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