Generalized Displacement Correlation Method for Estimating Stress Intensity Factors
This paper presents a generalized form of the displacement correlation method (the GDC method), which can use any linear or quadratic finite element type with homogeneous meshing without local refinement. These two features are critical for modeling dynamic fracture propagation problems where locations of fractures are not known a priori. Because regular finite elements' shape functions do not include the square-root terms, which are required for accurately representing the near-tip displacement field, the GDC method is enriched via a correction multiplier term. This paper develops the formulation of the GDC method and includes a number of numerical examples, especially those consisting of multiple interacting fractures. An alternative formulation using linear elements is also demonstrated to be accurate for mode-I fracturing, and acceptable mode-II results for most engineering applications can be obtained with appropriate mesh refinement, which remains considerably less than that required by most other methods for estimating stress intensities.
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| description | This paper presents a generalized form of the displacement correlation method (the GDC method), which can use any linear or quadratic finite element type with homogeneous meshing without local refinement. These two features are critical for modeling dynamic fracture propagation problems where locations of fractures are not known a priori. Because regular finite elements' shape functions do not include the square-root terms, which are required for accurately representing the near-tip displacement field, the GDC method is enriched via a correction multiplier term. This paper develops the formulation of the GDC method and includes a number of numerical examples, especially those consisting of multiple interacting fractures. An alternative formulation using linear elements is also demonstrated to be accurate for mode-I fracturing, and acceptable mode-II results for most engineering applications can be obtained with appropriate mesh refinement, which remains considerably less than that required by most other methods for estimating stress intensities. |
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"@type": "dcat:Distribution",
"title": "Engineering Fracture Mechanics Paper.pdf",
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"accessURL": "https://gdr.openei.org/files/173/Generalized%20Displacement%20Correlation%20Method%20for%20Estimating%20Stress%20Intensity%20Factors.pdf",
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"description": "Paper detailing generalized form of the displacement correlation method (the GDC method)"
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| identifier | https://data.openei.org/submissions/6528 |
| issued | 2012-01-01T07:00:00Z |
| keyword |
[
"GDC",
"displacement correlation method",
"fracture interaction",
"fracture mechanics",
"fracture propagation",
"generalized",
"geothermal",
"quarter-point element",
"stress intensity factor"
]
|
| landingPage | https://gdr.openei.org/submissions/173 |
| license | https://creativecommons.org/licenses/by/4.0/ |
| modified | 2017-05-23T21:34:03Z |
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| projectLead | Eric Hass |
| projectNumber | AID 19979 |
| projectTitle | Simulation of Complex Fracture Systems in Low Pressure Reservoirs for Development of Enhanced Geothermal Systems |
| publisher |
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"name": "Lawrence Livermore National Laboratory",
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| title | Generalized Displacement Correlation Method for Estimating Stress Intensity Factors |
