A hierarchical non-intrusive algorithm for the generalized finite element method

Fillmore, Travis B.; Duarte, C. Armando

doi:10.1186/s40323-018-0096-5

Cited by 6 publications

(1 citation statement)

References 37 publications

(93 reference statements)

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“…Previous IGL method work has looked at non-intrusively enhancing solid domains with XFEM cracks using XFEM/ GFEM (Duarte et al 2001;Moes et al 1999;Fillmore and Duarte 2018;Gupta et al 2012). However, those methods each encountered limitations not affecting the IGL method.…”

Section: Introductionmentioning

confidence: 99%

A surrogate model to accelerate non-intrusive global–local simulations of cracked steel structures

Fillmore

Vega

et al. 2022

Struct Multidisc Optim

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Physics-based digital twins often require many computations to diagnose current and predict future damage states in structures. This research proposes a novel iterative global–local method, where the local numerical model is replaced with a surrogate to simulate cracking quickly on large steel structures. The iterative global–local method bridges the scales from the operational level of a large steel structure to that of a cracked component. The linear global domain is efficiently simulated using static condensation, and the cracked local domain is quickly simulated using the adaptive surrogate modeling method proposed herein. This work compares solution time and accuracy of the proposed surrogate iterative global–local method with a reference model, a submodeling model, and an iterative global–local method with no surrogate model for the local domain. It is found that the surrogate iterative global–local method gives the fastest solution time with comparatively accurate results.

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Section: Introductionmentioning

confidence: 99%

A surrogate model to accelerate non-intrusive global–local simulations of cracked steel structures

Fillmore

Vega

et al. 2022

Struct Multidisc Optim

Self Cite

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Non Intrusive Global/Local Coupling Techniques in Solid Mechanics: An Introduction to Different Coupling Strategies and Acceleration Techniques

Allix

Gosselet

2020

Modeling in Engineering Using Innovative Numerical Methods for Solids and Fluids

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The aim of this paper is to provide, for a reader not familiar with the non-intrusive coupling method, the simplest possible example on which all the different iterative coupling strategies can be solved by hands. Among them, the basic algorithm, Aitken's method, mixed interface conditions. . . A drawback of this example is that, for some acceleration techniques, the convergence can be achieved in one iteration after the initialization. Nevertheless it allows to easily become acquainted with the different techniques. Some examples from previous papers are then used to illustrate the same properties on more complex examples involving nonlinearity.

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Diagnostics and prognostics of multi-mode failure scenarios in miter gates using multiple data sources and a dynamic Bayesian network

Fillmore

Vega

et al. 2022

Struct Multidisc Optim

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Current health monitoring approaches for large structures mostly rely on a combination of distributed sensor networks and in-situ inspection. This paper presents a novel online diagnostics and prognostics framework for structures subject to multiple failure modes and demonstrates the proposed method with a high-fidelity finite element model using multiple data sources (i.e., strain gauges and images). The approach aims at an accurate simulation of the interaction between different failure features, and subsequently at the effective estimation and prediction of the damage states based on the generated structural physics. A dynamic Bayesian network is used which incorporates different data sources to evaluate the structures under different kinds of deterioration mechanisms. In diagnosis, the dynamic Bayesian network is used to approximate the damage-related parameters and estimate the timedependent variables. In prognosis, the dynamic Bayesian network gives a probabilistic prediction of the remaining useful life of the structure based on the evolution of the failures. It is found that the proposed framework is highly effective in performing online diagnosis and prognosis using combined data sources.

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A hierarchical non-intrusive algorithm for the generalized finite element method

Cited by 6 publications

References 37 publications

A surrogate model to accelerate non-intrusive global–local simulations of cracked steel structures

A surrogate model to accelerate non-intrusive global–local simulations of cracked steel structures

Non Intrusive Global/Local Coupling Techniques in Solid Mechanics: An Introduction to Different Coupling Strategies and Acceleration Techniques

Diagnostics and prognostics of multi-mode failure scenarios in miter gates using multiple data sources and a dynamic Bayesian network

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