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Generalized Displacement Correlation Method for Estimating Stress Intensity Factors

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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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TY - DATA AB - 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. AU - Fu, Pengcheng A2 - Johnson, Scott M. A3 - Settgast, Randolph R. A4 - Carrigan, Charles R. DB - Open Energy Data Initiative (OEDI) DP - Open EI | National Renewable Energy Laboratory DO - KW - geothermal KW - fracture mechanics KW - stress intensity factor KW - displacement correlation method KW - quarter-point element KW - fracture propagation KW - fracture interaction KW - GDC KW - generalized LA - English DA - 2012/01/01 PY - 2012 PB - Lawrence Livermore National Laboratory T1 - Generalized Displacement Correlation Method for Estimating Stress Intensity Factors UR - https://data.openei.org/submissions/6528 ER -
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Fu, Pengcheng, et al. Generalized Displacement Correlation Method for Estimating Stress Intensity Factors. Lawrence Livermore National Laboratory, 1 January, 2012, GDR. https://gdr.openei.org/submissions/173.
Fu, P., Johnson, S., Settgast, R., & Carrigan, C. (2012). Generalized Displacement Correlation Method for Estimating Stress Intensity Factors. [Data set]. GDR. Lawrence Livermore National Laboratory. https://gdr.openei.org/submissions/173
Fu, Pengcheng, Scott M. Johnson, Randolph R. Settgast, and Charles R. Carrigan. Generalized Displacement Correlation Method for Estimating Stress Intensity Factors. Lawrence Livermore National Laboratory, January, 1, 2012. Distributed by GDR. https://gdr.openei.org/submissions/173
@misc{OEDI_Dataset_6528, title = {Generalized Displacement Correlation Method for Estimating Stress Intensity Factors}, author = {Fu, Pengcheng and Johnson, Scott M. and Settgast, Randolph R. and Carrigan, Charles R.}, abstractNote = {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.}, url = {https://gdr.openei.org/submissions/173}, year = {2012}, howpublished = {GDR, Lawrence Livermore National Laboratory, https://gdr.openei.org/submissions/173}, note = {Accessed: 2025-05-03} }

Details

Data from Jan 1, 2012

Last updated May 23, 2017

Submitted Feb 7, 2013

Organization

Lawrence Livermore National Laboratory

Contact

Pengcheng Fu

Authors

Pengcheng Fu

Lawrence Livermore National Laboratory

Scott M. Johnson

Lawrence Livermore National Laboratory

Randolph R. Settgast

Lawrence Livermore National Laboratory

Charles R. Carrigan

Lawrence Livermore National Laboratory

Research Areas

DOE Project Details

Project Name Simulation of Complex Fracture Systems in Low Pressure Reservoirs for Development of Enhanced Geothermal Systems

Project Lead Eric Hass

Project Number AID 19979

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