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Elastic-Plastic J-Integral Solutions or Surface Cracks in Tension Using an Interpolation Methodology

AUTHOR Nasa, National Aeronautics and Space Adm
PUBLISHER Independently Published (01/15/2019)
PRODUCT TYPE Paperback (Paperback)

Description
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. Allen, P. A. and Wells, D. N. Marshall Space Flight Center NASA/TP-2013-217480, M-1356
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Product Details
ISBN-13: 9781794174245
ISBN-10: 1794174249
Binding: Paperback or Softback (Trade Paperback (Us))
Content Language: English
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Page Count: 102
Carton Quantity: 40
Product Dimensions: 8.50 x 0.21 x 11.02 inches
Weight: 0.57 pound(s)
Country of Origin: US
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BISAC Categories
Science | Space Science - General
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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. Allen, P. A. and Wells, D. N. Marshall Space Flight Center NASA/TP-2013-217480, M-1356
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Paperback