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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.

Citation Formats

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  -

Export Citation to RIS

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: 2025-05-23}
}

Details

Data from Jan 1, 2012

Last updated May 23, 2017

Submitted Feb 7, 2013