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Title: Simulation of crack induced nonlinear elasticity using the combined finite-discrete element method

Abstract

Numerical simulation of nonlinear elastic wave propagation in solids with cracks is indispensable for decoding the complicated mechanisms associated with the nonlinear ultrasonic techniques in NonDestructive Testing (NDT). Here, we introduce a two-dimensional implementation of the combined finitediscrete element method (FDEM), which merges the finite element method (FEM) and the discrete element method (DEM), to explicitly simulate the crack induced nonlinear elasticity in solids with both horizontal and inclined cracks. In the FDEM model, the solid is discretized into finite elements to capture the wave propagation in the bulk material, and the finite elements along the two sides of the crack also behave as discrete elements to track the normal and tangential interactions between crack surfaces. The simulation results show that for cracked models, nonlinear elasticity is generated only when the excitation amplitude is large enough to trigger the contact between crack surfaces, and the nonlinear behavior is very sensitive to the crack surface contact. The simulations reveal the influence of normal and tangential contact on the nonlinear elasticity generation. Moreover, the results demonstrate the capabilities of FDEM for decoding the causality of nonlinear elasticity in cracked solid and its potential to assist in Non-Destructive Testing (NDT).

Authors:
ORCiD logo [1]; ORCiD logo [1];  [2]; 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 Nevada, Reno, NV (United States)
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1526957
Alternate Identifier(s):
OSTI ID: 1682497
Report Number(s):
LA-UR-18-30701
Journal ID: ISSN 0041-624X
Grant/Contract Number:  
89233218CNA000001
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Ultrasonics
Additional Journal Information:
Journal Volume: 98; Journal Issue: C; Journal ID: ISSN 0041-624X
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS

Citation Formats

Gao, Ke, Rougier, Esteban, Guyer, Robert A., and Johnson, Paul Allan. Simulation of crack induced nonlinear elasticity using the combined finite-discrete element method. United States: N. p., 2019. Web. doi:10.1016/j.ultras.2019.06.003.
Gao, Ke, Rougier, Esteban, Guyer, Robert A., & Johnson, Paul Allan. Simulation of crack induced nonlinear elasticity using the combined finite-discrete element method. United States. https://doi.org/10.1016/j.ultras.2019.06.003
Gao, Ke, Rougier, Esteban, Guyer, Robert A., and Johnson, Paul Allan. 2019. "Simulation of crack induced nonlinear elasticity using the combined finite-discrete element method". United States. https://doi.org/10.1016/j.ultras.2019.06.003. https://www.osti.gov/servlets/purl/1526957.
@article{osti_1526957,
title = {Simulation of crack induced nonlinear elasticity using the combined finite-discrete element method},
author = {Gao, Ke and Rougier, Esteban and Guyer, Robert A. and Johnson, Paul Allan},
abstractNote = {Numerical simulation of nonlinear elastic wave propagation in solids with cracks is indispensable for decoding the complicated mechanisms associated with the nonlinear ultrasonic techniques in NonDestructive Testing (NDT). Here, we introduce a two-dimensional implementation of the combined finitediscrete element method (FDEM), which merges the finite element method (FEM) and the discrete element method (DEM), to explicitly simulate the crack induced nonlinear elasticity in solids with both horizontal and inclined cracks. In the FDEM model, the solid is discretized into finite elements to capture the wave propagation in the bulk material, and the finite elements along the two sides of the crack also behave as discrete elements to track the normal and tangential interactions between crack surfaces. The simulation results show that for cracked models, nonlinear elasticity is generated only when the excitation amplitude is large enough to trigger the contact between crack surfaces, and the nonlinear behavior is very sensitive to the crack surface contact. The simulations reveal the influence of normal and tangential contact on the nonlinear elasticity generation. Moreover, the results demonstrate the capabilities of FDEM for decoding the causality of nonlinear elasticity in cracked solid and its potential to assist in Non-Destructive Testing (NDT).},
doi = {10.1016/j.ultras.2019.06.003},
url = {https://www.osti.gov/biblio/1526957}, journal = {Ultrasonics},
issn = {0041-624X},
number = C,
volume = 98,
place = {United States},
year = {Wed Jun 05 00:00:00 EDT 2019},
month = {Wed Jun 05 00:00:00 EDT 2019}
}

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Cited by: 15 works
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