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Sequential data assimilation for mechanical systems with complex image data: application to tagged-MRI in cardiac mechanics Adv. Model. and Simul. in Eng. Sci. Pub Date : 2021-01-09 Alexandre Imperiale; Dominique Chapelle; Philippe Moireau
Tagged Magnetic Resonance images (tagged-MRI) are generally considered to be the gold standard of medical imaging in cardiology. By imaging spatially-modulated magnetizations of the deforming tissue, indeed, this modality enables an assessment of intra-myocardial deformations over the heart cycle. The objective of the present work is to incorporate the most valuable information contained in tagged-MRI
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Symmetry analysis and equivalence transformations for the construction and reduction of constitutive models Adv. Model. and Simul. in Eng. Sci. Pub Date : 2021-01-05 J. F. Ganghoffer; R. Rahouadj; A. Cheviakov
A methodology based on Lie analysis is proposed to investigate the mechanical behavior of materials exhibiting experimental master curves. It is based on the idea that the mechanical response of materials is associated with hidden symmetries reflected in the form of the energy functional and the dissipation potential leading to constitutive laws written in the framework of the thermodynamics of irreversible
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Bayesian stochastic multi-scale analysis via energy considerations Adv. Model. and Simul. in Eng. Sci. Pub Date : 2020-12-26 Muhammad S. Sarfaraz; Bojana V. Rosić; Hermann G. Matthies; Adnan Ibrahimbegović
Multi-scale processes governed on each scale by separate principles for evolution or equilibrium are coupled by matching the stored energy and dissipation in line with the Hill-Mandel principle. We are interested in cementitious materials, and consider here the macro- and meso-scale behaviour of such a material. The accurate representations of stored energy and dissipation are essential for the depiction
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Finite cell method for functionally graded materials based on V-models and homogenized microstructures Adv. Model. and Simul. in Eng. Sci. Pub Date : 2020-12-16 Benjamin Wassermann; Nina Korshunova; Stefan Kollmannsberger; Ernst Rank; Gershon Elber
This paper proposes an extension of the finite cell method (FCM) to V-rep models, a novel geometric framework for volumetric representations. This combination of an embedded domain approach (FCM) and a new modeling framework (V-rep) forms the basis for an efficient and accurate simulation of mechanical artifacts, which are not only characterized by complex shapes but also by their non-standard interior
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A flexible framework for sequential estimation of model parameters in computational hemodynamics Adv. Model. and Simul. in Eng. Sci. Pub Date : 2020-12-02 Christopher J. Arthurs; Nan Xiao; Philippe Moireau; Tobias Schaeffter; C. Alberto Figueroa
A major challenge in constructing three dimensional patient specific hemodynamic models is the calibration of model parameters to match patient data on flow, pressure, wall motion, etc. acquired in the clinic. Current workflows are manual and time-consuming. This work presents a flexible computational framework for model parameter estimation in cardiovascular flows that relies on the following fundamental
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Phase-inherent linear visco-elasticity model for infinitesimal deformations in the multiphase-field context Adv. Model. and Simul. in Eng. Sci. Pub Date : 2020-12-02 Felix K. Schwab; Andreas Reiter; Christoph Herrmann; Daniel Schneider; Britta Nestler
A linear visco-elasticity ansatz for the multiphase-field method is introduced in the form of a Maxwell-Wiechert model. The implementation follows the idea of solving the mechanical jump conditions in the diffuse interface regions, hence the continuous traction condition and Hadamard’s compatibility condition, respectively. This makes strains and stresses available in their phase-inherent form (e.g
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Parasitic resistance as a predictor of faulty anodes in electro galvanizing: a comparison of machine learning, physical and hybrid models Adv. Model. and Simul. in Eng. Sci. Pub Date : 2020-11-18 Mario Lovrić; Richard Meister; Thomas Steck; Leon Fadljević; Johann Gerdenitsch; Stefan Schuster; Lukas Schiefermüller; Stefanie Lindstaedt; Roman Kern
In industrial electro galvanizing lines aged anodes deteriorate zinc coating distribution over the strip width, leading to an increase in electricity and zinc cost. We introduce a data-driven approach in predictive maintenance of anodes to replace the cost- and labor-intensive manual inspection, which is still common for this task. The approach is based on parasitic resistance as an indicator of anode
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Application of an iterative Golub-Kahan algorithm to structural mechanics problems with multi-point constraints Adv. Model. and Simul. in Eng. Sci. Pub Date : 2020-11-17 Carola Kruse; Vincent Darrigrand; Nicolas Tardieu; Mario Arioli; Ulrich Rüde
Kinematic relationships between degrees of freedom, also named multi-point constraints, are frequently used in structural mechanics. In this paper, the Craig variant of the Golub-Kahan bidiagonalization algorithm is used as an iterative method to solve the arising linear system with a saddle point structure. The condition number of the preconditioned operator is shown to be close to unity and independent
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A firefly algorithm based hybrid method for structural topology optimization Adv. Model. and Simul. in Eng. Sci. Pub Date : 2020-11-16 Hailu Shimels Gebremedhen; Dereje Engida Woldemichael; Fakhruldin Mohd Hashim
In this paper, a firefly algorithm based hybrid algorithm through retaining global convergence of firefly algorithm and ability to generate connected topologies of optimality criteria (OC) method is proposed as an alternative method to solve stress-based topology optimization problems. The lower and upper limit of design variables (0 and 1) were used to find initial material distribution to initialize
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Constrained multi-fidelity surrogate framework using Bayesian optimization with non-intrusive reduced-order basis Adv. Model. and Simul. in Eng. Sci. Pub Date : 2020-11-12 Hanane Khatouri; Tariq Benamara; Piotr Breitkopf; Jean Demange; Paul Feliot
This article addresses the problem of constrained derivative-free optimization in a multi-fidelity (or variable-complexity) framework using Bayesian optimization techniques. It is assumed that the objective and constraints involved in the optimization problem can be evaluated using either an accurate but time-consuming computer program or a fast lower-fidelity one. In this setting, the aim is to solve
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Error estimation and adaptivity for PGD based on complementary solutions applied to a simple 1D problem Adv. Model. and Simul. in Eng. Sci. Pub Date : 2020-10-30 Jonatha Reis; José Paulo Moitinho de Almeida; Pedro Díez; Sergio Zlotnik
Reduced order methods are powerful tools for the design and analysis of sophisticated systems, reducing computational costs and speeding up the development process. Among these reduced order methods, the Proper Generalized Decomposition is a well-established one, commonly used to deal with multi-dimensional problems that often suffer from the curse of dimensionality. Although the PGD method has been
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Parametric models analysed with linear maps Adv. Model. and Simul. in Eng. Sci. Pub Date : 2020-10-26 Hermann G. Matthies; Roger Ohayon
Parametric entities appear in many contexts, be it in optimisation, control, modelling of random quantities, or uncertainty quantification. These are all fields where reduced order models (ROMs) have a place to alleviate the computational burden. Assuming that the parametric entity takes values in a linear space, we show how is is associated to a linear map or operator. This provides a general point
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Enhancing CFD predictions in shape design problems by model and parameter space reduction Adv. Model. and Simul. in Eng. Sci. Pub Date : 2020-10-07 Marco Tezzele; Nicola Demo; Giovanni Stabile; Andrea Mola; Gianluigi Rozza
In this work we present an advanced computational pipeline for the approximation and prediction of the lift coefficient of a parametrized airfoil profile. The non-intrusive reduced order method is based on dynamic mode decomposition (DMD) and it is coupled with dynamic active subspaces (DyAS) to enhance the future state prediction of the target function and reduce the parameter space dimensionality
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\({\text {FE}}^r\) method with surrogate localization model for hyperelastic composite materials Adv. Model. and Simul. in Eng. Sci. Pub Date : 2020-10-06 Ryo Hatano; Seishiro Matsubara; Shuji Moriguchi; Kenjiro Terada; Julien Yvonnet
This study presents a method for constructing a surrogate localization model for a periodic microstructure, or equivalently, a unit cell, to efficiently perform micro-macro coupled analyses of hyperelastic composite materials. The offline process in this approach is to make a response data matrix that stores the microscopic stress distributions in response to various patterns of macroscopic deformation
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Computational homogenization of transient chemo-mechanical processes based on a variational minimization principle Adv. Model. and Simul. in Eng. Sci. Pub Date : 2020-07-25 Elten Polukhov; Marc-André Keip
We present a variational framework for the computational homogenization of chemo-mechanical processes of soft porous materials. The multiscale variational framework is based on a minimization principle with deformation map and solvent flux acting as independent variables. At the microscopic scale we assume the existence of periodic representative volume elements (RVEs) that are linked to the macroscopic
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Fully convolutional networks for structural health monitoring through multivariate time series classification Adv. Model. and Simul. in Eng. Sci. Pub Date : 2020-09-24 Luca Rosafalco; Andrea Manzoni; Stefano Mariani; Alberto Corigliano
We propose a novel approach to structural health monitoring (SHM), aiming at the automatic identification of damage-sensitive features from data acquired through pervasive sensor systems. Damage detection and localization are formulated as classification problems, and tackled through fully convolutional networks (FCNs). A supervised training of the proposed network architecture is performed on data
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Meta-modeling of a simulation chain for urban air quality Adv. Model. and Simul. in Eng. Sci. Pub Date : 2020-09-08 J. K. Hammond; R. Chen; V. Mallet
Urban air quality simulation is an important tool to understand the impacts of air pollution. However, the simulations are often computationally expensive, and require extensive data on pollutant sources. Data on road traffic pollution, often the predominant source, can be obtained through sparse measurements, or through simulation of traffic and emissions. Modeling chains combine the simulations of
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Remarks on mixed-integer formulations for hyper-reduction schemes in nonlinear dynamics Adv. Model. and Simul. in Eng. Sci. Pub Date : 2020-08-27 Pierre Phalippou; Piotr Breitkopf; Salim Bouabdallah; Malek Zarroug; Pierre Villon
The hyper-reduction problem for reduced-order internal forces evaluation in transient, nonlinear, explicit dynamics is reformulated, employing Mixed-Integer Programming (MIP), taking into account consistency constraints. Constraint reduction is introduced. Resulting quadratures, as well as reduced runs, are compared against the standard Energy Conserving Sampling and Weighting (ECSW) scheme, on a reference
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Correction to: Enhanced numerical integration scheme based on image-compression techniques: application to fictitious domain methods Adv. Model. and Simul. in Eng. Sci. Pub Date : 2020-07-09 Márton Petö; Fabian Duvigneau; Sascha Eisenträger
An amendment to this paper has been published and can be accessed via the original article.
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Geometrically exact planar Euler-Bernoulli beam and time integration procedure for multibody dynamics Adv. Model. and Simul. in Eng. Sci. Pub Date : 2020-07-07 Carlo Sansour; Tien Long Nguyen; Mohammed Hjiaj; Sophy Chhang
A new formulation of geometrically exact planar Euler-Bernoulli beam in multi-body dynamics is proposed. For many applications, the use of the Euler-Bernoulli model is sufficient and has the advantage of being a nodal displacement-only formulation avoiding the integration of rotational degrees of freedom. In this paper, an energy momentum method is proposed for the nonlinear in-plane dynamics of flexible
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On the use of neural networks to evaluate performances of shell models for composites Adv. Model. and Simul. in Eng. Sci. Pub Date : 2020-07-07 Marco Petrolo; Erasmo Carrera
This paper presents a novel methodology to assess the accuracy of shell finite elements via neural networks. The proposed framework exploits the synergies among three well-established methods, namely, the Carrera Unified Formulation (CUF), the Finite Element Method (FE), and neural networks (NN). CUF generates the governing equations for any-order shell theories based on polynomial expansions over
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A specialised finite element for simulating self-healing quasi-brittle materials Adv. Model. and Simul. in Eng. Sci. Pub Date : 2020-07-02 Brubeck L. Freeman; Pedro Bonilla-Villalba; Iulia C. Mihai; Waled F. Alnaas; Anthony D. Jefferson
A new specialised finite element for simulating the cracking and healing behaviour of quasi-brittle materials is presented. The element employs a strong discontinuity approach to represent displacement jumps associated with cracks. A particular feature of the work is the introduction of healing into the element formulation. The healing variables are introduced at the element level, which ensures consistency
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Measuring acceleration fields via regularized digital image correlation Adv. Model. and Simul. in Eng. Sci. Pub Date : 2020-06-22 Corentin Le Gourriérec; Stéphane Roux; François Hild
Digital image correlation (DIC) is a full-field measurement technique. In instantaneous approaches (i.e., registering two images), DIC only gives access to displacement (or velocity) fields. Consequently, acceleration fields are not one of the primary measured variables. To evaluate acceleration fields, a regularization scheme has to be used. The latter may be either heuristic or mechanically motivated
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Efficient structural reliability analysis by using a PGD model in an adaptive importance sampling schema Adv. Model. and Simul. in Eng. Sci. Pub Date : 2020-06-17 Annika Robens-Radermacher; Jörg F. Unger
One of the most important goals in civil engineering is to guarantee the safety of the construction. Standards prescribe a required failure probability in the order of $$10^{-4}$$ to $$10^{-6}$$. Generally, it is not possible to compute the failure probability analytically. Therefore, many approximation methods have been developed to estimate the failure probability. Nevertheless, these methods still
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An improved quadrilateral shell element based on the Hu–Washizu functional Adv. Model. and Simul. in Eng. Sci. Pub Date : 2020-06-13 Werner Wagner; Friedrich Gruttmann
In this paper a robust and effective 4-node shell element for the structural analysis of thin structures is described. A Hu–Washizu functional with independent displacements, stress resultants and shell strains is the variational basis of the theory. Based on a previous paper an additional interpolation part using quadratic shape functions is introduced for the independent shell strains. Especially
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Cut Bogner-Fox-Schmit elements for plates Adv. Model. and Simul. in Eng. Sci. Pub Date : 2020-06-11 Erik Burman; Peter Hansbo; Mats G. Larson
We present and analyze a method for thin plates based on cut Bogner-Fox-Schmit elements, which are $$C^1$$ elements obtained by taking tensor products of Hermite splines. The formulation is based on Nitsche’s method for weak enforcement of essential boundary conditions together with addition of certain stabilization terms that enable us to establish coercivity and stability of the resulting system
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Application of machine learning procedures for mechanical system modelling: capabilities and caveats to prediction-accuracy Adv. Model. and Simul. in Eng. Sci. Pub Date : 2020-06-10 Thomas Groensfelder; Fabian Giebeler; Marco Geupel; David Schneider; Rebecca Jaeger
This article presents an investigation about prediction accuracy of multi-parametric models derived from numerical data. Three different mechanical test-cases are used for the generation of the numerical data. From this data, models are derived for the prediction of characteristic variation to arbitrary changes of the input parameters. Different modeling approaches are evaluated regarding their prediction
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Correction to: Reduced integration schemes in micromorphic computational homogenization of elastomeric mechanical metamaterials Adv. Model. and Simul. in Eng. Sci. Pub Date : 2020-05-29 Ondřej Rokoš; Jan Zeman; Martin Doškář; Petr Krysl
Following publication of the original article [1], the authors reported the errors in the equations.
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On phase change and latent heat models in metal additive manufacturing process simulation Adv. Model. and Simul. in Eng. Sci. Pub Date : 2020-05-19 Sebastian D. Proell; Wolfgang A. Wall; Christoph Meier
This work proposes an extension of phase change and latent heat models for the simulation of metal powder bed fusion additive manufacturing processes on the macroscale and compares different models with respect to accuracy and numerical efficiency. Specifically, a systematic formulation of phase fraction variables is proposed relying either on temperature- or enthalpy-based interpolation schemes. Moreover
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Cross section shape optimization of wire strands subjected to purely tensile loads using a reduced helical model Adv. Model. and Simul. in Eng. Sci. Pub Date : 2020-05-09 Francesco Maria Filotto; Falk Runkel; Gerald Kress
This paper introduces a shape optimization of wire strands subjected to tensile loads. The structural analysis relies on a recently developed reduced helical finite element model characterized by an extreme computational efficacy while accounting for complex geometries of the wires. The model is extended to consider interactions between components and its applicability is demonstrated by comparison
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A nonintrusive reduced order model for nonlinear transient thermal problems with nonparametrized variability Adv. Model. and Simul. in Eng. Sci. Pub Date : 2020-05-07 Fabien Casenave; Asven Gariah; Christian Rey; Frederic Feyel
In this work, we consider a transient thermal problem, with a nonlinear term coming from the radiation boundary condition and a nonparametrized variability in the form complex scenarios for the initial condition and the convection coefficients and external temperatures. We use a posteriori reduced order modeling by snapshot Proper Orthogonal Decomposition. To treat the nonlinearity, hyperreduction
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Enhanced numerical integration scheme based on image-compression techniques: application to fictitious domain methods Adv. Model. and Simul. in Eng. Sci. Pub Date : 2020-05-06 Márton Petö; Fabian Duvigneau; Sascha Eisenträger
In the present work, we propose a new approach, the so-called compressed adaptive integration scheme (C-AIS), for the computation of the stiffness and mass matrices in fictitious domain methods requiring the integration of discontinuous functions. The novel approach extends the conventional quadtree-decomposition-based adaptive integration scheme (AIS) by an additional step, in which established image-compression
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Measurement of 1–10 Hz 3D vibration modes with a CT-scanner Adv. Model. and Simul. in Eng. Sci. Pub Date : 2020-04-20 Clément Jailin; Thomas Jailin; Stéphane Roux
A new in situ vibration mode measurement method within a tomograph is proposed based on Projection-based Digital Volume Correlation techniques. Several projection angles are selected and a large number of radiographs of the vibrating sample are acquired at random instants with a small exposure time in order to ‘freeze out’ the displacement and avoid motion blurring. Based on an initial reconstruction
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Reduced integration schemes in micromorphic computational homogenization of elastomeric mechanical metamaterials Adv. Model. and Simul. in Eng. Sci. Pub Date : 2020-04-11 Ondřej Rokoš; Jan Zeman; Martin Doškář; Petr Krysl
Exotic behaviour of mechanical metamaterials often relies on an internal transformation of the underlying microstructure triggered by its local instabilities, rearrangements, and rotations. Depending on the presence and magnitude of such a transformation, effective properties of a metamaterial may change significantly. To capture this phenomenon accurately and efficiently, homogenization schemes are
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A mixed-dimensional CutFEM methodology for the simulation of fibre-reinforced composites Adv. Model. and Simul. in Eng. Sci. Pub Date : 2020-04-08 P. Kerfriden; S. Claus; I. Mihai
We develop a novel unfitted finite element solver for composite materials with quasi-1D fibrous reinforcements. The method belongs to the class of mixed-dimensional non-conforming finite element solvers. The fibres are treated as 1D structural elements that may intersect the mesh of the embedding structure in an arbitrary manner. No meshing of the unidimensional elements is required. Instead, fibre
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Toward new methods for optimization study in automotive industry including recent reduction techniques Adv. Model. and Simul. in Eng. Sci. Pub Date : 2020-04-07 Etienne Gstalter; Sonia Assou; Yves Tourbier; Florian De Vuyst
In the last years, the automotive engineering industry has been deeply influenced by the use of «machine learning» techniques for new design and innovation purposes. However, some specific engineering aspects like numerical optimization study still require the development of suitable high-performance machine learning approaches involving parametrized Finite Elements (FE) structural dynamics simulation
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Model order reduction assisted by deep neural networks (ROM-net) Adv. Model. and Simul. in Eng. Sci. Pub Date : 2020-04-06 Thomas Daniel; Fabien Casenave; Nissrine Akkari; David Ryckelynck
In this paper, we propose a general framework for projection-based model order reduction assisted by deep neural networks. The proposed methodology, called ROM-net, consists in using deep learning techniques to adapt the reduced-order model to a stochastic input tensor whose nonparametrized variabilities strongly influence the quantities of interest for a given physics problem. In particular, we introduce
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A hybrid interface preconditioner for monolithic fluid–structure interaction solvers Adv. Model. and Simul. in Eng. Sci. Pub Date : 2020-04-05 Matthias Mayr; Maximilian H. Noll; Michael W. Gee
We propose a hybrid interface preconditioner for the monolithic solution of surface-coupled problems. Powerful preconditioning techniques are crucial when it comes to solving large monolithic systems of linear equations efficiently, especially when arising from coupled multi-physics problems like in fluid–structure interaction. Existing physics-based block preconditioners have proven to be efficient
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Enriched continuum for multi-scale transient diffusion coupled to mechanics Adv. Model. and Simul. in Eng. Sci. Pub Date : 2020-03-28 Abdullah Waseem; Thomas Heuzé; Laurent Stainier; Marc G. D. Geers; Varvara G. Kouznetsova
In this article, we present a computationally efficient homogenization technique for linear coupled diffusion–mechanics problems. It considers a linear chemo-mechanical material model at the fine scale, and relies on a full separation of scales between the time scales governing diffusion and mechanical phenomena, and a relaxed separation of scales for diffusion between the matrix and the inclusion
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How to tell the difference between a model and a digital twin Adv. Model. and Simul. in Eng. Sci. Pub Date : 2020-03-11 Louise Wright; Stuart Davidson
“When I use a word, it means whatever I want it to mean”: Humpty Dumpty in Alice’s Adventures Through The Looking Glass, Lewis Carroll. “Digital twin” is currently a term applied in a wide variety of ways. Some differences are variations from sector to sector, but definitions within a sector can also vary significantly. Within engineering, claims are made regarding the benefits of using digital twinning
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A continuum model for slip transfer at grain boundaries Adv. Model. and Simul. in Eng. Sci. Pub Date : 2020-03-10 Claude Fressengeas; Manas V. Upadhyay
Using a continuous representation of dislocations in elastoplastic polycrystals, we investigate slip transfer at grain boundaries by assessing the compatibility of the slip system shear rates with tangential continuity of the plastic distortion rate tensor at these interfaces. Fulfillment of this tangential continuity condition is needed for consistency of the continuous description of dislocations
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A benchmark example for delamination growth predictions based on the Single Leg Bending specimen under fatigue loading Adv. Model. and Simul. in Eng. Sci. Pub Date : 2020-03-05 Ronald Krueger; Lyle Deobald; Haozhong Gu
Analysis benchmarking is used to evaluate new algorithms for automated VCCT-based delamination growth analysis. First, existing benchmark cases based on the Single Leg Bending (SLB) specimen for crack propagation prediction under quasi-static loading are summarized. Second, the development of new SLB-based benchmark cases to assess the static and fatigue growth prediction capabilities under mixed-mode
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Microstructure evolution in deformed polycrystals predicted by a diffuse interface Cosserat approach Adv. Model. and Simul. in Eng. Sci. Pub Date : 2020-02-26 Anna Ask; Samuel Forest; Benoît Appolaire; Kais Ammar
Formulating appropriate simulation models that capture the microstructure evolution at the mesoscale in metals undergoing thermomechanical treatments is a formidable task. In this work, an approach combining higher-order dislocation density based crystal plasticity with a phase-field model is used to predict microstructure evolution in deformed polycrystals. This approach allows to model the heterogeneous
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Improving collapsibility robustness of an EPS-CD by means of simulation and six sigma Adv. Model. and Simul. in Eng. Sci. Pub Date : 2020-02-19 Didac Costas Muñoz; Michał Majzel
Steering columns for column assist Electric Steering are one of the main elements of the passive safety restraint system in a passenger vehicle. It is designed to collapse applying an optimized ride down force to reduce chest and head injuries of the driver during a frontal crash event, making this requirement one of the most important ones for its development. The system crash response is generated
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Particle interspacing effects on the mechanical behavior of a Fe–TiB2 metal matrix composite using FFT-based mesoscopic field dislocation mechanics Adv. Model. and Simul. in Eng. Sci. Pub Date : 2020-02-19 J. Genée; S. Berbenni; N. Gey; R. A. Lebensohn; F. Bonnet
This paper presents an application to metal matrix composites (MMCs) of an enhanced elasto-viscoplastic Fast Fourier Transform (EVP-FFT) formulation coupled with a phenomenological continuum Mesoscale Field Dislocation Mechanics (MFDM) theory. Contrary to conventional crystal plasticity, which only accounts for plastic flow and hardening induced by statistically stored dislocations (SSDs), MFDM-EVP-FFT
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Statistical analysis of the interaction between irradiation-induced defects and triple junctions Adv. Model. and Simul. in Eng. Sci. Pub Date : 2020-02-19 Patrick Zarnas; Rémi Dingreville; Brittany Muntifering; Khalid Hattar; Brad L. Boyce; Jianmin Qu
By using a generalized, spatially resolved rate theory, we systematically studied the irradiation-induced diffusion and segregation of point defects near triple junctions. Our model captured not only the formation, growth, and recombination of point defects but also the interaction of these defects with pre-existing defects. We coupled the stress field of the triple junction with defect diffusion via
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Enriched homogenized model for viscoelastic plane wave propagation in periodic layered composites Adv. Model. and Simul. in Eng. Sci. Pub Date : 2020-02-15 Swee Hong Tan; Leong Hien Poh
An enriched homogenized model is developed based on a proposed homogenization strategy, to describe the wave propagation behaviour through periodic layered composites. The intrinsic parameters characterising the micro-inertia effect and non-local interactions are defined transparently in terms of the constituent materials’ properties and volume fractions. The framework starts with the introduction
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A thermo-elastoplastic self-consistent homogenization method for inter-granular plasticity with application to thermal ratcheting of TATB Adv. Model. and Simul. in Eng. Sci. Pub Date : 2020-02-15 Kane C. Bennett; Miroslav Zecevic; Darby J. Luscher; Ricardo A. Lebensohn
A novel thermo-elastoplastic self-consistent homogenization model for granular materials that exhibit inter-granular plasticity is presented. The model, TEPSCA, is made possible by identifying a new inter-granular plastic Eshelby-like tensor. A micromechanical model of interfacial yielding between grains of a Mohr–Coulomb type is provided, which is relatable to the description of imperfect interfaces
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Mesh-adapted stress analysis of multilayered plates using a layerwise model Adv. Model. and Simul. in Eng. Sci. Pub Date : 2020-02-08 Lucille Salha; Jérémy Bleyer; Karam Sab; Joanna Bodgi
This paper proposes a new finite-element modelling of a recent layerwise model for multilayered plates. This layerwise model is built from a specific 3D stress-field expansion along the thickness direction and involves, in particular, interlaminar transverse shear and out-of-plane stresses as generalized stresses. Its main feature is that 3D equilibrium equations and free-edge boundary conditions are
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Application of artificial neural networks for the prediction of interface mechanics: a study on grain boundary constitutive behavior Adv. Model. and Simul. in Eng. Sci. Pub Date : 2020-01-28 Mauricio Fernández; Shahed Rezaei; Jaber Rezaei Mianroodi; Felix Fritzen; Stefanie Reese
The present work aims at the identification of the effective constitutive behavior of $$\Sigma 5$$ aluminum grain boundaries (GB) for proportional loading by using machine learning (ML) techniques. The input for the ML approach is high accuracy data gathered in challenging molecular dynamics (MD) simulations at the atomic scale for varying temperatures and loading conditions. The effective traction-separation
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Non-intrusive proper generalized decomposition involving space and parameters: application to the mechanical modeling of 3D woven fabrics Adv. Model. and Simul. in Eng. Sci. Pub Date : 2019-12-30 Angel Leon; Sebastien Mueller; Patrick de Luca; Rajab Said; Jean-Louis Duval; Francisco Chinesta
In our former works we proposed different Model Order Reduction strategies for alleviating the complexity of computational simulations. In fact we proved that separated representations are specially appealing for addressing many issues, in particular, the treatment of 3D models defined in degenerated domains (those involving very different characteristic dimensions, like beams, plate and shells) as
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Applications of SPDM in aircraft structural analysis at Embraer Adv. Model. and Simul. in Eng. Sci. Pub Date : 2019-12-23 Rodrigo Britto Maria; Marcus de Freitas Leal; Edgard Sousa Junior; Vinicius Leite Lemos; Patrick Magalhães Cardoso; Leonardo Cosme de Oliveira; Saullo Giovani Pereira Castro; Marcelo de Lima Marcolin; Darshan Joshi
Aircraft structural analysis is a process that involves several engineers working concurrently to analyze in detail all structural elements of an airframe, as well as the behavior of the aircraft structure as a whole. The airframe has to be decomposed in its major components such as fuselage sections, wings and control surfaces to allow the distribution of the analyses among the engineers. Finite element
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A non-intrusive global/local approach applied to phase-field modeling of brittle fracture. Adv. Model. and Simul. in Eng. Sci. Pub Date : 2018-01-01 Tymofiy Gerasimov,Nima Noii,Olivier Allix,Laura De Lorenzis
This paper aims at investigating the adoption of non-intrusive global/local approaches while modeling fracture by means of the phase-field framework. A successful extension of the non-intrusive global/local approach to this setting would pave the way for a wide adoption of phase-field modeling of fracture, already well established in the research community, within legacy codes for industrial applications
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Recent advancements on the phase field approach to brittle fracture for heterogeneous materials and structures. Adv. Model. and Simul. in Eng. Sci. Pub Date : 2018-01-01 V Carollo,T Guillén-Hernández,J Reinoso,M Paggi
Recent advancements on the variational approach to fracture for the prediction of complex crack patterns in heterogeneous materials and composite structures is herein proposed, as a result of the frontier research activities undertaken in the FP7 ERC Starting Grant project CA2PVM which focuses on the development of computational methods for the durability and the reliability assessment of photovoltaic
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A minimally-intrusive fully 3D separated plate formulation in computational structural mechanics Adv. Model. and Simul. in Eng. Sci. Pub Date : 2019-08-13 Giacomo Quaranta; Mustapha Ziane; Eberhard Haug; Jean-Louis Duval; Francisco Chinesta
Most of mechanical systems and complex structures exhibit plate and shell components. Therefore, 2D simulation, based on plate and shell theory, appears as an appealing choice in structural analysis as it allows reducing the computational complexity. Nevertheless, this 2D framework fails for capturing rich physics compromising the usual hypotheses considered when deriving standard plate and shell theories
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Reduced-order modelling of parametric systems via interpolation of heterogeneous surrogates Adv. Model. and Simul. in Eng. Sci. Pub Date : 2019-08-08 Yao Yue; Lihong Feng; Peter Benner
This paper studies parametric reduced-order modeling via the interpolation of linear multiple-input multiple-output reduced-order, or, more general, surrogate models in the frequency domain. It shows that realization plays a central role and two methods based on different realizations are proposed. Interpolation of reduced-order models in the Loewner representation is equivalent to interpolating the
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An extension of assumed stress finite elements to a general hyperelastic framework Adv. Model. and Simul. in Eng. Sci. Pub Date : 2019-05-31 Nils Viebahn; Jörg Schröder; Peter Wriggers
Assumed stress finite elements are known for their extraordinary good performance in the framework of linear elasticity. In this contribution we propose a mixed variational formulation of the Hellinger–Reissner type for hyperelasticity. A family of hexahedral shaped elements is considered with a classical trilinear interpolation of the displacements and different piecewise discontinuous interpolation
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Evaluation of shear and membrane locking in refined hierarchical shell finite elements for laminated structures Adv. Model. and Simul. in Eng. Sci. Pub Date : 2019-05-24 Guohong Li; Erasmo Carrera; Maria Cinefra; Alberto G. de Miguel; Gennady M. Kulikov; Alfonso Pagani; Enrico Zappino
Shear and membrane locking phenomena are fundamental issues of shell finite element models. A family of refined shell elements for laminated structures has been developed in the framework of Carrera Unified Formulation, including hierarchical elements based on higher-order Legendre polynomial expansions. These hierarchical elements were reported to be relatively less prone to locking phenomena, yet
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Modeling of cylindrical composite shell structures based on the Reissner’s Mixed Variational Theorem with a variable separation method Adv. Model. and Simul. in Eng. Sci. Pub Date : 2019-05-18 Philippe Vidal; Olivier Polit; Laurent Gallimard; Michele D’Ottavio
This work deals with the modeling of laminated composite and sandwich shells through a variable separation approach based on a Reissner’s Variational Mixed Theorem (RMVT). Both the displacement and transverse stress fields are approximated as a sum of products of separated functions of the in-plane coordinates and the transverse coordinate. This approach yields to a non-linear problem that is solved
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Thermodynamic properties of muscle contraction models and associated discrete-time principles Adv. Model. and Simul. in Eng. Sci. Pub Date : 2019-04-04 François Kimmig; Dominique Chapelle; Philippe Moireau
Considering a large class of muscle contraction models accounting for actin–myosin interaction, we present a mathematical setting in which solution properties can be established, including fundamental thermodynamic balances. Moreover, we propose a complete discretization strategy for which we are also able to obtain discrete versions of the thermodynamic balances and other properties. Our major objective