Generalized Displacement Correlation Method for Estimating Stress Intensity Factors

Abstract

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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Additional Info

DOE Project Name: Simulation of Complex Fracture Systems in Low Pressure Reservoirs for Development of Enhanced Geothermal Systems
DOE Project Number: AID 19979
DOE Project Lead: Eric Hass
Last Updated: over a year ago
Jan
2012
Data from January, 2012
Submitted Feb 7, 2013

Contact

Lawrence Livermore National Laboratory


Status

Publicly accessible License 

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

Keywords

geothermal, fracture mechanics, stress intensity factor, displacement correlation method, quarter-point element, fracture propagation, fracture interaction, GDC, generalized

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