skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Reduced-order modeling through machine learning and graph-theoretic approaches for brittle fracture applications

Journal Article · · Computational Materials Science
ORCiD logo [1]; ORCiD logo [1]; ORCiD logo [1]; ORCiD logo [1];  [2];  [3]; ORCiD logo [1]; ORCiD logo [4]; ORCiD logo [1]; ORCiD logo [1]; ORCiD logo [1]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  2. Los Alamos National Lab. (LANL), Los Alamos, NM (United States); Univ. of Chicago, IL (United States)
  3. Los Alamos National Lab. (LANL), Los Alamos, NM (United States); Brigham Young Univ., Provo, UT (United States)
  4. Los Alamos National Lab. (LANL), Los Alamos, NM (United States); Univ. of Maryland Baltimore County (UMBC), Baltimore, MD (United States)

Typically, thousands of computationally expensive micro-scale simulations of brittle crack propagation are needed to upscale lower length scale phenomena to the macro-continuum scale. Running such a large number of crack propagation simulations presents a significant computational challenge, making reduced-order models (ROMs) attractive for this task. Here, the ultimate goal of this research is to develop ROMs that have sufficient accuracy and low computational cost so that these upscaling simulations can be readily performed. However, constructing ROMs for these complex simulations presents its own challenge. Here, we present and compare four different approaches for reduced-order modeling of brittle crack propagation in geomaterials. These methods rely on machine learning (ML) and graph-theoretic algorithms to approximate key aspects of the brittle crack problem. These methods also incorporate different physics-based assumptions in order to reduce the training requirements while maintaining accurate physics as much as possible. Results from the ROMs are directly compared against a high-fidelity model of brittle crack propagation. Further, the strengths and weaknesses of the ROMs are discussed, and we conclude that combining smart physics-informed feature engineering with highly trainable ML models provides the best performance. The ROMs considered here have computational costs that are orders-of-magnitude less than the cost associated with high-fidelity physical models while maintaining good accuracy.

Research Organization:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Organization:
USDOE Laboratory Directed Research and Development (LDRD) Program
Grant/Contract Number:
89233218CNA000001; 20170103DR; 20150693ECR
OSTI ID:
1603983
Report Number(s):
LA-UR-18-29900
Journal Information:
Computational Materials Science, Vol. 157, Issue C; ISSN 0927-0256
Publisher:
ElsevierCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 18 works
Citation information provided by
Web of Science

References (23)

Reduced-order modeling: new approaches for computational physics journal February 2004
Foundations of statistical natural language processing journal September 2002
Machine learning in bioinformatics journal March 2006
Materials informatics journal October 2005
Materials informatics: a journey towards material design and synthesis journal January 2016
Commentary: The Materials Project: A materials genome approach to accelerating materials innovation journal July 2013
Alloy Negative Electrodes for High Energy Density Metal-Ion Cells journal January 2011
Computational screening of perovskite metal oxides for optimal solar light capture journal January 2012
Phase stability of chromium based compensated ferrimagnets with inverse Heusler structure journal September 2013
Compressive sensing as a paradigm for building physics models journal January 2013
Role of descriptors in predicting the dissolution energy of embedded oxides and the bulk modulus of oxide-embedded iron journal January 2017
Quantifying Topological Uncertainty in Fractured Systems using Graph Theory and Machine Learning journal August 2018
Validation of a three-dimensional Finite-Discrete Element Method using experimental results of the Split Hopkinson Pressure Bar test journal September 2014
A combined finite‐discrete element method in transient dynamics of fracturing solids journal February 1995
Numerical comparison of some explicit time integration schemes used in DEM, FEM/DEM and molecular dynamics journal September 2004
Tensile testing of materials at high rates of strain: An experimental technique is developed for testing materials at strain rates up to 103 s−1 in tension using a modification of the split Hopkinson bar or Kolsky apparatus journal May 1981
The Phenomena of Rupture and Flow in Solids journal January 1921
A Critical Analysis of Crack Propagation Laws journal December 1963
Predictive modeling of dynamic fracture growth in brittle materials with machine learning journal June 2018
Fracture energy and fracture process zone journal July 1992
Determination of fracture energy, process zone longth and brittleness number from size effect, with application to rock and conerete journal July 1990
Crack Interaction, Coalescence and Mixed mode Fracture Mechanics journal April 1996
A few useful things to know about machine learning journal October 2012

Cited By (1)

Surrogate Models for Estimating Failure in Brittle and Quasi-Brittle Materials journal July 2019

Similar Records

Surrogate Models for Estimating Failure in Brittle and Quasi-Brittle Materials
Journal Article · Wed Jul 03 00:00:00 EDT 2019 · Applied Sciences · OSTI ID:1603983

Quantifying Topological Uncertainty in Fractured Systems using Graph Theory and Machine Learning
Journal Article · Fri Aug 03 00:00:00 EDT 2018 · Scientific Reports · OSTI ID:1603983

Physics-Informed Machine Learning Models for Predicting the Progress of Reactive-Mixing
Journal Article · Fri Dec 11 00:00:00 EST 2020 · Computer Methods in Applied Mechanics and Engineering · OSTI ID:1603983