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

Gao, Ke; Rougier, Esteban; Guyer, Robert A.; Johnson, Paul Allan

doi:10.1016/j.ultras.2019.06.003

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

Journal Article · Wed Jun 05 00:00:00 EDT 2019 · Ultrasonics

DOI:https://doi.org/10.1016/j.ultras.2019.06.003· OSTI ID:1526957

^[1]; ^[1]; Guyer, Robert A. ^[2]; ^[1]

Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Los Alamos National Lab. (LANL), Los Alamos, NM (United States); Univ. of Nevada, Reno, NV (United States)

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).

View Accepted Manuscript (DOE)

Research Organization:: Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: 89233218CNA000001

OSTI ID:: 1526957

Alternate ID(s):: OSTI ID: 1682497

Report Number(s):: LA-UR--18-30701

Journal Information:: Ultrasonics, Journal Name: Ultrasonics Journal Issue: C Vol. 98; ISSN 0041-624X

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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