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Identifying crack tip position and stress intensity factors from displacement data

Journal Article · · International Journal of Fracture
 [1];  [1];  [2];  [2];  [1]
  1. Cornell Univ., Ithaca, NY (United States)
  2. Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)

Fracture prognosis and characterization efforts require knowledge of crack tip position and the Stress Intensity Factors (SIFs) acting in the vicinity of the crack. Here, in this work, we present an efficient numerical approach to infer both of these characteristics under a consistent theoretical framework from noisy, unstructured displacement data. The novel approach utilizes the separability of the asymptotic linear elastic fracture mechanics fields to expedite the search for crack tip position and is particularly useful for noisy displacement data. The manuscript begins with an assessment of the importance of accurately locating crack tip position when quantifying the SIFs from displacement data. Next, the proposed separability approach for quickly inferring crack tip position is introduced. Comparing to the widely used displacement correlation approach, the performance of the separability approach is assessed. Cases involving both noisy data and systematic deviation from the asymptotic linear elastic fracture mechanics model are considered, e.g. inelastic material behavior and finite geometries. An open source python implementation of the proposed approach is available for use by those doing field and laboratory work involving digital image correlation and simulations, e.g. finite element, discrete element, molecular dynamics and peridynamics, where the crack tip position is not explicitly defined.

Research Organization:
Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA)
Grant/Contract Number:
NA0003525
OSTI ID:
2311471
Report Number(s):
SAND--2023-08132J
Journal Information:
International Journal of Fracture, Journal Name: International Journal of Fracture Vol. 243; ISSN 0376-9429
Publisher:
SpringerCopyright Statement
Country of Publication:
United States
Language:
English

References (36)

Fast Parallel Algorithms for Short-Range Molecular Dynamics journal March 1995
Fracture Mechanics book January 2012
Comparison between various displacement-based stress intensity factor computation techniques journal December 1992
The J-integral fracture toughness for Mode II journal August 1980
Determination of horizon size in state-based peridynamics journal June 2020
Estimation of mixed-mode stress intensity factors using digital image correlation and an interaction integral journal March 2005
The J-contour integral in peridynamics via displacements journal February 2019
Real-Time Digital Image Correlation for Dynamic Strain Measurement journal January 2016
Super Resolution Digital Image Correlation (SR-DIC): an Alternative to Image Stitching at High Magnifications journal May 2021
A general method for determining mixed-mode stress intensity factors from isochromatic fringe patterns journal January 1979
Limitations to the small scale yielding approximation for crack tip plasticity journal January 1974
Direct search methods: then and now journal December 2000
Continuum stress intensity factors from atomistic fracture simulations journal September 2019
LAMMPS - a flexible simulation tool for particle-based materials modeling at the atomic, meso, and continuum scales journal February 2022
Investigation of fatigue crack closure using multiscale image correlation experiments journal October 2009
Full field measurements of anisotropic stress intensity factor ranges in fatigue journal November 2012
Atomic-scale mutual integrals for mixed-mode fracture: Abnormal fracture toughness of grain boundaries in graphene journal May 2018
Speeding up digital image correlation computation using the integral image technique journal February 2015
A J-integral approach using digital image correlation for evaluating stress intensity factors in fatigue cracks with closure effects journal August 2017
Fatigue of Materials book January 2012
Atomic mechanism of near threshold fatigue crack growth in vacuum journal February 2022
The role of T‐stress in brittle fracture for linear elastic materials under mixed‐mode loading journal February 2001
Complete Williams asymptotic expansion of the stress field near the crack tip: Analytical solutions, interference-optic methods and numerical experiments conference January 2016
A pattern search and implicit filtering algorithm for solving linearly constrained minimization problems with noisy objective functions journal May 2018
Extended timescale atomistic modeling of crack tip behavior in aluminum journal July 2012
Dissolution at a Ductile Crack Tip journal September 2021
Multiparadigm Modeling of Dynamical Crack Propagation in Silicon Using a Reactive Force Field journal March 2006
An over-deterministic method for calculation of coefficients of crack tip asymptotic field from finite element analysis: CALCULATING COEFFICIENTS OF CRACK TIP ASYMPTOTIC FIELD FROM FE ANALYSIS journal February 2011
Stress Intensity Factor Gauging by Digital Image Correlation: Application in Cyclic Fatigue journal August 2007
Locating the Crack Tip Using Displacement Field Data: A Comparative Study journal December 2012
Evaluating J‐integral from Displacement Fields Measured by Digital Image Correlation journal November 2013
A Path Independent Integral and the Approximate Analysis of Strain Concentration by Notches and Cracks journal June 1968
On the Stress Distribution at the Base of a Stationary Crack journal March 1957
`` Direct Search'' Solution of Numerical and Statistical Problems journal April 1961
Williams expansion-based approximation of the stress field in an Al 2024 body with a crack from optical measurements journal June 2017
An Efficient Hybrid DSMC/MD Algorithm for Accurate Modeling of Micro Gas Flows journal January 2014