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Improving the performance of destructive interference phononic crystal structure through topology optimization Finite Elem. Anal. Des. (IF 3.1) Pub Date : 2024-03-01 Tam Yee Ha, Gil Ho Yoon
This study examines the phenomenon of intrinsic nature in wave mitigation, specifically focusing on the concept of destructive interference (DI). When waves interact, they can exhibit either destructive interference or constructive interference depending on the phase difference. In the case of mechanical waves propagating through a mechanical structure, their characteristics such as wave speed, wavelength
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Exterior ballistics analysis of shotgun using discrete element method with equivalent aerodynamic forces Finite Elem. Anal. Des. (IF 3.1) Pub Date : 2024-02-28 Shigan Deng, Jason Wang, Sheng-Wei Chi, Chun-Cheng Lin, Jau-Nan Yeh, Chien-Chih Lai
This research continues the research of Deng et al. (2022) [1], using Discrete Element Method (DEM) coupled with Finite Element Analysis to solve shotgun exterior ballistics. The simulation examples in this research are using an Italian-made 24 gm #9½ birdshot with 433 pellets fired from 30” long, 12-gauge cylinder and full choke barrels. The simulations of shotgun exterior ballistics of this research
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A parallel implementation of a mixed multiscale domain decomposition method applied to the magnetostatic simulation of 2D electrical machines Finite Elem. Anal. Des. (IF 3.1) Pub Date : 2024-02-28 A. Ruda, F. Louf, P.-A. Boucard, X. Mininger, T. Verbeke
This article introduces a mixed domain decomposition method (DDM) designed to meet the requirements of advanced numerical optimization in electrical machines. The primary objective is to adapt the multiscale LATIN method, primarily used for mechanical studies, to the magnetostatic context. The proposed method offers an effective iterative scheme that relies on a mixed formulation of the equations on
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Topology optimization of stationary fluid–structure interaction problems considering a natural frequency constraint for vortex-induced vibrations attenuation Finite Elem. Anal. Des. (IF 3.1) Pub Date : 2024-02-23 L.O. Siqueira, K.E.S. Silva, E.C.N. Silva, R. Picelli
Topology optimization applied to fluid–structure interaction problems is challenging because the physical phenomenon in real engineering applications is usually transient and strongly coupled. This leads to costly solutions for the forward and adjoint problems, the computational bottleneck of the topology optimization method. Thus, this paper proposes a topology optimization problem formulated in the
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Thermo-mechanical analyses of masonry structures in fire conditions Finite Elem. Anal. Des. (IF 3.1) Pub Date : 2024-02-13 Daniele Pellegrini
Historic masonry buildings are highly vulnerable to anthropic actions and environmental factors due to their low tensile strength, and bounded compressive strength. Over the years, numerous studies and experimental campaigns have been conducted to characterise the buildings’ response to external actions and identify solutions for their conservation against multiple factors, such as climatic changes
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3D orthotropic damage model for the failure analysis of LVL wood truss with steel connector through a regularized extended finite element method Finite Elem. Anal. Des. (IF 3.1) Pub Date : 2024-02-10 Elena Benvenuti, Andrea Fabbri, Fabio Minghini, Nicola Orlando, Nerio Tullini
Any three-dimensional finite element analysis of the failure of wood trusses necessarily incurs several markedly nonlinear effects, including the co-existence of orthotropic ductile and brittle failure modes depending on entangled tensile, shearing, and compressive stress states, and the mesh dependency inherent in the adoption of softening stress state laws. The complexity of the modelling process
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Topology optimization of transient vibroacoustic problems for broadband filter design using cut elements Finite Elem. Anal. Des. (IF 3.1) Pub Date : 2024-02-09 Cetin B. Dilgen, Niels Aage
The focus of this article is on shape and topology optimization of transient vibroacoustic problems. The main contribution is a transient problem formulation that enables optimization over wide ranges of frequencies with complex signals, which are often of interest in industry. The work employs time domain methods to realize wide band optimization in the frequency domain. To this end, the objective
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Numerical investigation of a 3D hybrid high-order method for the indefinite time-harmonic Maxwell problem Finite Elem. Anal. Des. (IF 3.1) Pub Date : 2024-02-06 Matteo Cicuttin, Christophe Geuzaine
Hybrid High-Order (HHO) methods are a recently developed class of methods belonging to the broader family of Discontinuous Sketetal methods. Other well known members of the same family are the well-established Hybridizable Discontinuous Galerkin (HDG) method, the nonconforming Virtual Element Method (ncVEM) and the Weak Galerkin (WG) method. HHO provides various valuable assets such as simple construction
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Shakedown and creep rupture analysis of printed circuit heat exchangers based on the linear matching method framework Finite Elem. Anal. Des. (IF 3.1) Pub Date : 2024-02-06 Zhiyuan Ma, Zhuojia Fu, Haofeng Chen, Xiaoxiao Wang
In the field of nuclear engineering, Printed Circuit Heat Exchangers (PCHEs) have become increasingly popular and the structural integrity assessment of these key power plant components is crucial. As part of the structural integrity assessment, creep rupture analysis considers the interaction of cyclic plasticity and creep behaviour, which is vital for components subjected to cyclic thermal-mechanical
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A three-field based finite element analysis for a class of magnetoelastic materials Finite Elem. Anal. Des. (IF 3.1) Pub Date : 2024-02-03 Tao Jin
A simple yet effective material model was proposed by Zhao et al. (2019) and demonstrated to be capable of modeling the shape transformations of various planar and three-dimensional material samples programmed with the so-called “hard-magnetic soft materials”. Based on the aforementioned material model, this paper aims to further accomplish the following two tasks. First, a detailed analysis is performed
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Automatically approximating the material properties and boundary conditions applied to a axisymmetric thermal analysis of a quasi-axisymmetric component Finite Elem. Anal. Des. (IF 3.1) Pub Date : 2024-01-26 Jorge Camacho Casero, Trevor T. Robinson, Cecil G. Armstrong, Marco Geron, Céline Douta
This paper describes an innovative method which automatically calculates the material properties and boundary conditions which must be applied to an axisymmetric Finite Element (FE) model of a quasi-axisymmetric component, to account for the fact that some regions in a quasi-axisymmetric model are not fully axisymmetric. The automated process has been implemented using the Application Programming Interface
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Computation of statistical volume element properties based on a reduced stiffness matrix approach Finite Elem. Anal. Des. (IF 3.1) Pub Date : 2024-01-19 Hyunoh Bae, Katherine Acton
A statistical approach to modeling heterogeneous material behavior is necessary to capture local behavior, which profoundly affects such macroscale behaviors as brittle fracture and wave propagation. The study of mesoscale Statistical Volume Elements (SVE) is complicated by the fact that, by definition, SVE material behavior is non-unique and depends on the boundary conditions applied. The choice of
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A user material approach for the solution of multi-field problems in Abaqus: Theoretical foundations, gradient-enhanced damage mechanics and thermo-mechanical coupling Finite Elem. Anal. Des. (IF 3.1) Pub Date : 2024-01-12 Lennart Sobisch, Tobias Kaiser, Tim Furlan, Andreas Menzel
The solution of multi-field problems and the numerical implementation by means of the finite element method constitute a sophisticated part of the characterisation of industrial processes. A comprehensive implementation framework for such a system of coupled field equations into a non-linear large strain finite element formulation is provided. The procedure is derived for a micromorphic approach in
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Abaqus implementation of a large family of finite viscoelasticity models Finite Elem. Anal. Des. (IF 3.1) Pub Date : 2024-01-13 Victor Lefèvre, Fabio Sozio, Oscar Lopez-Pamies
In this paper, we introduce an Abaqus UMAT subroutine for a family of constitutive models for the viscoelastic response of isotropic elastomers of any compressibility – including fully incompressible elastomers – undergoing finite deformations. The models can be chosen to account for a wide range of non-Gaussian elasticities, as well as for a wide range of nonlinear viscosities. From a mathematical
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A pure Stokes approach for coupling fluid flow with porous media flow Finite Elem. Anal. Des. (IF 3.1) Pub Date : 2024-01-10 Modesar Shakoor, Chung Hae Park
Most numerical approaches for coupling fluid flow with porous media flow rely either on Stokes equations in the fluid part of the domain and Darcy’s law in the porous part, or on Brinkman’s equation. In both cases, difficulties arise at the boundary between the two parts because the equations used in the porous part are not of Stokes type. In this paper, an alternative to Darcy’s law is proposed for
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Interplay of liquid particles and interphases on the macroscopic elastic response of Liquid-filled composites Finite Elem. Anal. Des. (IF 3.1) Pub Date : 2023-12-26 J. Sadeghi, F. Kamarei, T. Goudarzi
This paper deals with providing the effective elastic response of three-phase composites consist of a matrix filled with a random suspension of liquid-filled capsules firmly bonded to the matrix in the realm of small deformation theory. The capsules shell (interphases) and the matrix are considered to be elastic solids and the liquid is considered ideal. For this purpose, the solution for dilute concentrations
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NURBS-enhanced finite element method (NEFEM) on quadrilateral meshes Finite Elem. Anal. Des. (IF 3.1) Pub Date : 2023-12-21 Mattia Montanari, Gian Maria Santi, Ruben Sevilla, Liverani Alfredo, Nik Petrinic
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Method of matched sections as a beam-like approach for plate analysis Finite Elem. Anal. Des. (IF 3.1) Pub Date : 2023-12-18 Igor Orynyak, Kirill Danylenko
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An efficient method for the finite element analysis of shell structures by placing feature-fitted local shell meshes in a global shell mesh Finite Elem. Anal. Des. (IF 3.1) Pub Date : 2023-12-17 Thuan Ho-Nguyen-Tan, Hyun-Gyu Kim
This paper presents an efficient method for the finite element analysis of shell structures using feature-fitted local shell meshes that are placed in a global shell mesh. Feature-fitted local shell meshes are independently constructed to accurately represent the geometric features of shell structures. Non-matching interfaces between global and local shell meshes are connected by interface shell elements
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Local refinement for the modeling of composite beam based on the partition of the unity method Finite Elem. Anal. Des. (IF 3.1) Pub Date : 2023-12-07 P. Vidal, L. Gallimard, O. Polit
In this work, a refined model is superimposed on a simple one only in a region of interest to improve the accuracy of the modeling of composite beam structures. The purpose is to concentrate the computational effort in a localized zone without loss of local precision. Outside the region of interest is modelized using a simple cheap model. The present approach is based on the Partition Unity Method
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Simulating 3D printing on hydrogel inks: A finite element framework for predicting mechanical properties and scaffold deformation Finite Elem. Anal. Des. (IF 3.1) Pub Date : 2023-12-06 M.C.P. Vila Pouca, M.R.G. Cerqueira, J.P.S. Ferreira, R. Darabi, N.A.G. Ramião, R. Sobreiro-Almeida, A.P.G. Castro, P.R. Fernandes, J.F. Mano, RM Natal Jorge, M.P.L. Parente
Background Difficulties during the wound healing process may result in scarring, chronic wounds and sepsis. A common tissue engineering strategy to solve these problems rely on the development of 3D hydrogel scaffolds that mimic the structure, stiffness, and biological proprieties of the target tissue. One of the most effective biofabrication techniques to precisely control spatial deposition, architecture
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ANN strategies for the stress–strain analysis of metallic materials: Modeling, database, supervised learning, validation and performance analysis Finite Elem. Anal. Des. (IF 3.1) Pub Date : 2023-11-30 P.G. Marques Flávio, L.R. Cabral Muniz, T. Doca
Artificial neural networks (ANN) are developed and employed to characterize a wide range of metallic materials. Focus is given to the evaluation of stress–strain behavior via sphere-to-flat indentation. Each ANN is trained using a supervised machine learning procedure comprised of two steps: (i) generation of a training dataset via calibrated finite element model, and (ii) validation using experimental
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Computation of the dynamic scalar response of large two-dimensional periodic and symmetric structures by the wave finite element method Finite Elem. Anal. Des. (IF 3.1) Pub Date : 2023-11-30 D. Duhamel
In the past, the study of periodic media mainly focused on one-dimensional periodic structures (meaning periodic along one direction), on the one hand to determine the dispersion curves linking the frequencies to the wavenumbers and on the other hand to obtain the response of a structure to an external excitation, both for bounded or unbounded structures. In the latter case, effective approaches have
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Fatigue response of open hole plates: A finite element simulation investigating the influence of dynamic and static cold expansion processes Finite Elem. Anal. Des. (IF 3.1) Pub Date : 2023-11-21 Guo Zheng, Zengqiang Cao, Yuehaoxuan Wang, Reza Talemi
Cold Expansion (CE) techniques are extensively used in the aeronautical industry to enhance the fatigue life of open-hole plates. However, the availability of accurate Finite Element (FE) models to simulate the fatigue behavior of this process, particularly Dynamic Cold Expansion (DCE), is limited. This study introduces two novel methods for predicting the fatigue response of DCE and Static Cold Expansion
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Data-driven snapshot calibration via monotonic feature matching Finite Elem. Anal. Des. (IF 3.1) Pub Date : 2023-11-20 Neeraj Sarna, Jan Giesselmann, Peter Benner
Snapshot matrices of hyperbolic equations have a slow singular value decay, resulting in inefficient reduced-order models. We develop on the idea of inducing a faster singular value decay by computing snapshots on a transformed spatial domain, or the so-called snapshot calibration/transformation. We are particularly interested in problems involving shock collision, shock rarefaction-fan collision,
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Geometrically nonlinear analysis of Reissner–Mindlin plates using multi-patch isogeometric analysis based on Nitsche’s method Finite Elem. Anal. Des. (IF 3.1) Pub Date : 2023-11-16 Ziling Song, , Tiantang Yu, Sundararajan Natarajan
Within the isogeometric analysis framework, industrial products or complex shapes are represented using multiple NURBS patches, resulting in non-matching interfaces and introducing additional numerical challenges, particularly in scenarios involving nonlinear behavior. This paper introduces the application of Nitsche’s method to address interface coupling challenges presented in non-matching multi-patch
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A dynamic description of the smoothing gradient damage model for quasi-brittle failure Finite Elem. Anal. Des. (IF 3.1) Pub Date : 2023-11-16 Chanh Dinh Vuong, Xiaofei Hu, Tinh Quoc Bui
Quasi-static simulations are of limited interest because cracks, if they are not severely constrained, propagate dynamically. When natural disasters such as earthquakes or explosions happen, structures made of quasi-brittle or brittle materials can suffer from failures activated by, for instance, loading at a high rate. Dynamic fractures, especially dynamic crack branching, are often observed during
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Nonlinear model order reduction for problems with microstructure using mesh informed neural networks Finite Elem. Anal. Des. (IF 3.1) Pub Date : 2023-11-08 Piermario Vitullo, Alessio Colombo, Nicola Rares Franco, Andrea Manzoni, Paolo Zunino
Many applications in computational physics involve approximating problems with microstructure, characterized by multiple spatial scales in their data. However, these numerical solutions are often computationally expensive due to the need to capture fine details at small scales. As a result, simulating such phenomena becomes unaffordable for many-query applications, such as parametrized systems with
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Model development for numerical analysis of the bonding strength for friction welded lightweight structures Finite Elem. Anal. Des. (IF 3.1) Pub Date : 2023-11-08 Eric Heppner, Tomohiro Sasaki, Frank Trommer, Elmar Woschke
The rotary friction welding (RFW) is a robust, precise, productive and economical joining process that is used in many areas of mechanical engineering to produce lightweight structures consisting of combinations of ferrous and non-ferrous materials, for instance aluminium alloy and steel. Crucial for the design of such lightweight structures is the knowledge about the bonding strength. The bonding
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Bending and torsion induced stresses in cylindrically orthotropic and inhomogeneous timber beams Finite Elem. Anal. Des. (IF 3.1) Pub Date : 2023-11-03 David Hoffmeyer, A.R. Damanpack
The structural design of timber beams subject to bending often relies on the application of the simple Euler–Bernoulli beam theory. However, the simplistic formulas for stress calculations overlook the inherent characteristics of the wood material and the true distribution of the annual rings within the cross-sectional area. This paper introduces a method for determining all six stress components for
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Integrated BIM-based modeling and simulation of segmental tunnel lining by means of isogeometric analysis Finite Elem. Anal. Des. (IF 3.1) Pub Date : 2023-11-03 Hoang-Giang Bui, Jelena Ninić, Christian Koch, Klaus Hackl, Günther Meschke
With the increasing demand for underground transport infrastructures in urban areas, and associated hazards during the construction of these complex structures characterized with a number of uncertainties, there is an acute need for the development of methods and tools that enable efficient and accurate exploration of the design options to minimize risks induced to the environment. Mechanized tunneling
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Multi-scale modelling and analysis of the behaviour of PC/ABS blends with emphasis on interfacial/bulk damage Finite Elem. Anal. Des. (IF 3.1) Pub Date : 2023-11-03 Alexandre D. C. Amaro, A. Francisca Carvalho Alves, F.M. Andrade Pires
The present contribution focuses on the analysis of diverse deformation mechanisms that impact the behaviour of PC/ABS blends using computational homogenisation. This includes analysing internal particle cavitation, PC/ABS interface debonding, and PC matrix shear-yielding. The goal is to investigate the optimal composition for specific applications and create tailored materials. The work involves establishing
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On the realization of periodic boundary conditions for hexagonal unit cells Finite Elem. Anal. Des. (IF 3.1) Pub Date : 2023-11-02 Yasemin von Hoegen, Sonja Hellebrand, Lisa Scheunemann, Jörg Schröder
In the context of homogenization of micro-heterogeneous materials, the choice of the Representative Volume Element (RV E) plays a crucial role. For periodic microstructures, an RV E is an underlying unit cell with periodic boundary conditions. Nevertheless, the question of the implementation of periodic boundary conditions may arise here; for example, some of the applications of periodic boundary conditions
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Nonlinear data-driven zero-thickness joint element for concrete dam shear keys Finite Elem. Anal. Des. (IF 3.1) Pub Date : 2023-10-31 Mario Freitas, Pierre Léger, Najib Bouaanani
Shear keys have been designed into the contraction joints of many concrete gravity dams to provide interlocking and shear transfer between adjacent monoliths. Their shear transferring capacity is usually estimated as the friction and cohesion that can be mobilized across a 2D plane located at the base of the keys. Once the shear stress in the contraction joint exceeds its estimated shear capacity,
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Modeling and simulation of microwave assisted catalytic pyrolysis system of waste plastics polymer for fuel production Finite Elem. Anal. Des. (IF 3.1) Pub Date : 2023-10-31 Fares Bandi, Saad Sulttan, Sohrab Rohani
Pyrolysis is a promising method of chemically recycling plastic waste, as it allows for the recovery of both energy and materials. In this work, a comprehensive mathematical model has been developed to predict the pyrolysis of plastic wastes over ZSM-5 catalyst in microwave-assisted pyrolysis (MAP) system for fuel production. To conduct a transient numerical analysis of the underlying processes, a
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Structures with varying discontinuities and curvatures: A dynamic analysis approach by the p-version finite element method Finite Elem. Anal. Des. (IF 3.1) Pub Date : 2023-10-27 Vladimir Stojanović, Jian Deng, Dunja Milić, Marko D. Petković
The present paper investigates the geometrically nonlinear time domain dynamic analysis of a coupled Timoshenko beam-beam or beam-arch mechanical system. The coupled structure is modelled with a variable discontinuity in an elastic layer, which represents a real case from technical practice where there is no continuous distribution of the elastic layer or the stiffness of the layer is changed by other
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An unsupervised machine learning approach to reduce nonlinear FE2 multiscale calculations using macro clustering Finite Elem. Anal. Des. (IF 3.1) Pub Date : 2023-10-28 Souhail Chaouch, Julien Yvonnet
Solving nonlinear multiscale methods with history-dependent behaviors and fine macroscopic meshes is a well-known challenge. In this work, an unsupervised machine learning-based clustering approach is developed to reduce nonlinear Multilevel Finite Element-FE2 calculations. In contrast with most available techniques which aim at developing Reduced Order Models (ROM) or AI-based surrogate models for
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An inexact semismooth Newton method with application to adaptive randomized sketching for dynamic optimization Finite Elem. Anal. Des. (IF 3.1) Pub Date : 2023-10-18 Mohammed Alshehri, Harbir Antil, Evelyn Herberg, Drew P. Kouri
In many applications, one can only access the inexact gradients and inexact hessian times vector products. Thus it is essential to consider algorithms that can handle such inexact quantities with a guaranteed convergence to solution. An inexact adaptive and provably convergent semismooth Newton method is considered to solve constrained optimization problems. In particular, dynamic optimization problems
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Mesh coarsening using the phantom-node method in the phase field model Finite Elem. Anal. Des. (IF 3.1) Pub Date : 2023-10-17 Gihwan Kim, Phill-Seung Lee
The phantom-node method is applied in the phase field model for mesh coarsening to improve computational efficiency. When the adaptive mesh refinement scheme is used, the fine mesh still remains along the path where crack already passed. However, structural properties such as stiffness, damage and strain energy of an element completely partitioned by the crack path remain almost unchanged during the
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Achieving high efficiency in reduced order modeling for large scale polycrystal plasticity simulations Finite Elem. Anal. Des. (IF 3.1) Pub Date : 2023-10-13 Aslan Nasirov, Xiaoyu Zhang, David Wagner, Saikumar R. Yeratapally, Caglar Oskay
Reduced order models for the nonlinear response of heterogeneous microstructures typically require a construction (or training) stage to build the reduced order basis. In this manuscript, an efficient model construction strategy for the eigenstrain homogenization method (EHM) is presented. The proposed strategy relies on a parallel, element-by-element, conjugate gradient solver. Near linear scaling
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Epistemic modeling uncertainty of rapid neural network ensembles for adaptive learning Finite Elem. Anal. Des. (IF 3.1) Pub Date : 2023-10-13 Atticus Beachy, Harok Bae, Jose A. Camberos, Ramana V. Grandhi
Emulator embedded neural networks, which are closely related to physics informed neural networks, leverage multi-fidelity data sources for efficient design exploration of aerospace engineering systems. Multiple realizations of the neural network model are trained with different random initializations. The ensemble of model realizations is used to assess epistemic modeling uncertainty caused by a lack
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Empowering PGD-based parametric analysis with Optimal Transport Finite Elem. Anal. Des. (IF 3.1) Pub Date : 2023-10-05 D. Muñoz, S. Torregrosa, O. Allix, F. Chinesta
The Proper Generalized Decomposition (PGD) is a Model Order Reduction framework that has been proposed to be able to do parametric analysis of physical problems. These parameters may include material properties, boundary conditions, etc. With this framework most of the computation may done in an off-line stage allowing to perform real time simulation in a variety of situations. Nevertheless, this scheme
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A robust and generalized effective DAE framework encompassing different methods, algorithms, and model order reduction for linear and nonlinear second order dynamical systems Finite Elem. Anal. Des. (IF 3.1) Pub Date : 2023-10-05 David Tae, Kumar K. Tamma
For linear and nonlinear dynamical problems, we propose the novel development and advancement of the well-known Generalized Single Step Single Solve (GS4) family of second order time-accurate algorithms encompassing the entire class of LMS methods developed over the past 50 years or so with/without controllable numerical dissipation in conjunction with the Differential Algebraic Equation (DAE) framework
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GPT-PINN: Generative Pre-Trained Physics-Informed Neural Networks toward non-intrusive Meta-learning of parametric PDEs Finite Elem. Anal. Des. (IF 3.1) Pub Date : 2023-10-05 Yanlai Chen, Shawn Koohy
Physics-Informed Neural Network (PINN) has proven itself a powerful tool to obtain the numerical solutions of nonlinear partial differential equations (PDEs) leveraging the expressivity of deep neural networks and the computing power of modern heterogeneous hardware. However, its training is still time-consuming, especially in the multi-query and real-time simulation settings, and its parameterization
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A comparison of data-driven reduced order models for the simulation of mesoscale atmospheric flow Finite Elem. Anal. Des. (IF 3.1) Pub Date : 2023-10-05 Arash Hajisharifi, Michele Girfoglio, Annalisa Quaini, Gianluigi Rozza
The simulation of atmospheric flows by means of traditional discretization methods remains computationally intensive, hindering the achievement of high forecasting accuracy in short time frames. In this paper, we apply three reduced order models that have successfully reduced the computational time for different applications in computational fluid dynamics while preserving accuracy: Dynamic Mode Decomposition
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Diffused interface Crystal Plasticity Finite Element Method: Biased mesh generation and accuracy Finite Elem. Anal. Des. (IF 3.1) Pub Date : 2023-10-03 Jothi Mani Thondiraj, Akhshaya Paranikumar, Devesh Tiwari, Daniel Paquet, Pritam Chakraborty
Diffused interface Crystal Plasticity Finite Element Method (CPFEM) can allow incorporation of grain boundary constitutive models, seamless connection to phase-field based microstructures, and negate the issue of poor elements typical of sharp interface and grain geometry conformal CPFEM. However, the use of uniformly structured mesh in diffused interface CPFEM reduces the utility of this approach
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Adaptive mixed FEM combined with the method of characteristics for stationary convection–diffusion–reaction problems Finite Elem. Anal. Des. (IF 3.1) Pub Date : 2023-09-24 Mary Chriselda Antony Oliver, María González
We consider a stationary convection–diffusion–reaction model problem in a two- or three-dimensional bounded domain. We approximate this model by a non-stationary problem and propose a numerical method that combines the method of characteristics with an augmented mixed finite element procedure. We show that this scheme has a unique solution. We also derive a residual-based a posteriori error indicator
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Stress-based topology optimization approach using binary variables and geometry trimming Finite Elem. Anal. Des. (IF 3.1) Pub Date : 2023-09-21 César Y. Kiyono, Renato Picelli, Raghavendra Sivapuram, Daniel M. De Leon, Emílio C.N. Silva
In this paper a new approach to handle stress-based topology optimization problems by using the Topology Optimization of Binary Structures method is presented. The design update is carried out with binary values (0 or 1) and a boundary identification scheme is employed to smooth the structural contours to avoid artificial stress concentrations that can occur because of the jagged nature of the topology
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Randomized reduced basis methods for parameterized fractional elliptic PDEs Finite Elem. Anal. Des. (IF 3.1) Pub Date : 2023-09-21 Harbir Antil, Arvind K. Saibaba
This paper is interested in developing reduced order models (ROMs) for repeated simulation of fractional elliptic partial differential equations (PDEs) for multiple values of the parameters (e.g., diffusion coefficients or fractional exponent) governing these models. These problems arise in many applications including simulating Gaussian processes, geophysical electromagnetics. The approach uses the
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Torque calculation method for axial-flux electrical machines in finite element analysis Finite Elem. Anal. Des. (IF 3.1) Pub Date : 2023-09-16 Josefina María Silveyra, Juan Manuel Conde Garrido
Rotating electrical machines are becoming ubiquitous as we move towards a more electrified and sustainable world. Torque calculation is an essential task in the design process of rotating machines. In the frame of finite element analysis, the Maxwell stress tensor method is a common technique to calculate the torque exerted on a rigid body. However, the computed torque is strongly mesh-dependent and
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Rigorous code verification for non-linear Kirchhoff–Love shells based on tangential differential calculus with application to Isogeometric Analysis Finite Elem. Anal. Des. (IF 3.1) Pub Date : 2023-09-16 M.H. Gfrerer
In order to ensure the reliability of a numerical simulation software, verification and validation are unavoidable tasks. In this paper, we present a new rigorous code verification strategy based on manufactured solutions for the static analysis of geometrically non-linear Kirchhoff–Love shells and apply it to Isogeometric Analysis (IGA). While IGA is based on a parametric surface description, we advocate
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Modeling plasticity and damage in fiber reinforced composites by a crystal plasticity based approach Finite Elem. Anal. Des. (IF 3.1) Pub Date : 2023-09-07 E. Aybars Dizman, İzzet Özdemir
In very thin ply laminates, delamination failure initiation occurs at much higher stress levels as compared to conventional ply laminates. This results in significant plastic deformation in the matrix accompanied by large fiber rotations. A closer look reveals that microstructure of fiber reinforced composites at large strains do not rotate with the plastic spin induced by the total deformation gradient
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NURBS-based shape parametrization enabling PGD-based space separability: Methodology and application Finite Elem. Anal. Des. (IF 3.1) Pub Date : 2023-09-08 Mohammad-Javad Kazemzadeh-Parsi, Angelo Pasquale, Daniele Di Lorenzo, Victor Champaney, Amine Ammar, Francisco Chinesta
In the context of MOR techniques for parametrized PDEs, a novel computational method relying on NURBS-based geometric mappings and PGD-based space separated representations has recently been developed. Such approach has opened new perspectives to classical PGD formulations. In particular, it has extended the use of the PGD to complex non-separable an non-simply-connected domains. Moreover, the domain
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Ritz vector-based substructuring method using interface eigenmode-shape pseudo-forces Finite Elem. Anal. Des. (IF 3.1) Pub Date : 2023-09-06 Hyeong Seok Koh, Gil Ho Yoon
We propose a new Ritz vector-based dynamic substructuring method which substitutes the unit pseudo-forces applied at the adjacent degrees of freedom (DOFs) using distributed forces. One of the main problems of the Ritz vector and unit pseudo-force-based dynamic substructuring method is the strong dependence of the number of reduction bases on the interface DOF, which is not reduced by substructuring
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A framework based on nonlinear FE simulations and artificial neural networks for estimating the thermal profile in arc welding Finite Elem. Anal. Des. (IF 3.1) Pub Date : 2023-08-31 Sandipan Baruah, Indra Vir Singh
In this paper, a novel strategy based on nonlinear thermal analysis has been developed using finite element simulations and artificial neural networks in order to predict the time-temperature distributions in arc welding process. The highly nonlinear and transient thermal finite element methodology pertaining to simulations of arc welding process is investigated through various combinations of numerical
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Numerical simulation of cold-sprayed hydroxyapatite coating on 316L stainless steel Finite Elem. Anal. Des. (IF 3.1) Pub Date : 2023-08-30 Ajay Kumar Behera, Sisir Mantry, Sudesna Roy, Soobhankar Pati
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Approximate deconvolution Leray reduced order model for convection-dominated flows Finite Elem. Anal. Des. (IF 3.1) Pub Date : 2023-08-28 Anna Sanfilippo, Ian Moore, Francesco Ballarin, Traian Iliescu
In this paper, we propose a novel ROM stabilization strategy for under-resolved convection-dominated flows, the approximate deconvolution Leray ROM (ADL-ROM). The new ADL-ROM introduces AD as a new means to increase the accuracy of the classical Leray ROM (L-ROM) without degrading its numerical stability. We also introduce two new AD ROM strategies: the Tikhonov and van Cittert methods. Our numerical