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  • Article
  • Open Access
11 Citations
3,876 Views
13 Pages

Mixed Generalized Multiscale Finite Element Method for Darcy-Forchheimer Model

  • Denis Spiridonov,
  • Jian Huang,
  • Maria Vasilyeva,
  • Yunqing Huang and
  • Eric T. Chung

10 December 2019

In this paper, the solution of the Darcy-Forchheimer model in high contrast heterogeneous media is studied. This problem is solved by a mixed finite element method (MFEM) on a fine grid (the reference solution), where the pressure is approximated by...

(This article belongs to the Special Issue Computational Mathematics, Algorithms, and Data Processing)
  • Article
  • Open Access
9 Citations
3,071 Views
19 Pages

24 November 2020

Compared with normal strength concrete (NSC), ultra-high-performance steel fiber-reinforced concrete (UHPFRC) shows superior performance. The concrete damage plasticity (CDP) model in ABAQUS can predict the mechanical properties of UHPFRC components...

(This article belongs to the Special Issue High Performance Concrete)
  • Article
  • Open Access
1 Citations
912 Views
15 Pages

18 January 2026

Numerical simulations of the forming limit diagram (FLD) for SUS430/Al1050/TA1 laminated metal composites (LMCs) are conducted through the crystal plasticity finite element (CPFE) model integrated with the Marciniak–Kuczyński (M–K) t...

(This article belongs to the Section Metals and Alloys)
  • Article
  • Open Access
4 Citations
3,071 Views
19 Pages

20 June 2019

Transverse cracking is probably the first and most dominant mode of damage in composite materials. In this paper, transverse cracking of cross-ply [02/90n]s (n = 2,3,4) laminates under uniaxial tension load was studied by means of experimental and nu...

(This article belongs to the Section Advanced Composites)
  • Article
  • Open Access
6 Citations
3,198 Views
10 Pages

Effects of Metal Fasteners of Ventilated Building Facade on the Thermal Performances of Building Envelopes

  • Abdulrahman Alghamdi,
  • Hamzah Alharthi,
  • Abdulelah Alanazi and
  • Mohammad Halawani

Thermal bridging in the building envelope is one of the main causes of energy losses, even in high-efficiency ventilated building façades. In this study, the effects of point-thermal bridges attributed to metal fasteners on the heat transferred throu...

(This article belongs to the Section Building Energy, Physics, Environment, and Systems)
  • Article
  • Open Access
3 Citations
717 Views
17 Pages

23 January 2026

Steel bridge deck pavements (SBDPs) are susceptible to complex mechanical and service environmental conditions, yet current design methods often struggle to simultaneously capture global bridge system behavior and local pavement responses. To address...

(This article belongs to the Special Issue Advances in Sustainable Construction Materials, Third Edition)
  • Article
  • Open Access
6 Citations
2,677 Views
32 Pages

Defining and Optimising High-Fidelity Models for Accurate Inherent Strain Calculation in Laser Powder Bed Fusion

  • Iñaki Setien,
  • Michele Chiumenti,
  • Maria San Sebastian,
  • Manuel A. Caicedo and
  • Carlos A. Moreira

11 February 2025

Powder Bed Fusion–Laser Beam (PBF-LB) is a leading technique in metal additive manufacturing, yet it continues to face challenges related to residual stresses and distortions. The inherent strain method has emerged as a valuable predictive tool...

(This article belongs to the Special Issue Advances in 3D Printing Technologies of Metals—2nd Edition)
  • Article
  • Open Access
4 Citations
3,097 Views
14 Pages

2 February 2023

Structural insulated panels (SIPs) are widely used in residential and commercial buildings due to their reliable mechanical and thermal performance. However, using framing members and nails to join SIPs causes thermal bridging across the insulation a...

(This article belongs to the Special Issue Building Energy-Saving Technology)
  • Article
  • Open Access
2 Citations
1,230 Views
19 Pages

29 August 2025

This study presents an integrated geomechanical modeling framework for predicting multi-scale fracture networks and their activity in the Longmaxi Formation shale reservoir, northern Luzhou region, southeastern Sichuan Basin—an area shaped by c...

(This article belongs to the Special Issue Recent Advances in Prospecting Geology)
  • Feature Paper
  • Article
  • Open Access
18 Citations
3,584 Views
16 Pages

14 June 2023

The fatigue damage of a local joint is the key factor accounting for the structural failure of a jacket-type offshore wind turbine. Meanwhile, the structure experiences a complex multiaxial stress state under wind and wave random loading. This paper...

  • Article
  • Open Access
16 Citations
2,546 Views
14 Pages

15 June 2021

In this paper, we present a multiscale model reduction technique for unsaturated filtration problem in fractured porous media using an Online Generalized Multiscale finite element method. The flow problem in unsaturated soils is described by the Rich...

(This article belongs to the Section E1: Mathematics and Computer Science)
  • Article
  • Open Access
11 Citations
2,720 Views
16 Pages

Mechanical Characterization of MWCNT-Reinforced Cement Paste: Experimental and Multiscale Computational Investigation

  • Ioannis E. Kavvadias,
  • Konstantinos Tsongas,
  • Kosmas E. Bantilas,
  • Maria G. Falara,
  • Athanasia K. Thomoglou,
  • Fani I. Gkountakou and
  • Anaxagoras Elenas

31 July 2023

Computational approaches could provide a viable and cost-effective alternative to expensive experiments for accurately evaluating the nonlinear constitutive behavior of cementitious nanocomposite materials. In the present study, the mechanical proper...

(This article belongs to the Section Advanced Materials Characterization)
  • Article
  • Open Access
4 Citations
4,531 Views
20 Pages

Multi Scale Modelling of Friction Induced Vibrations at the Example of a Disc Brake System

  • Arn Joerger,
  • Ioannis Spiropoulos,
  • Robert Dannecker and
  • Albert Albers

10 December 2021

Friction induced vibrations such as brake squealing, or juddering are still challenging topics in product engineering processes. So far, this topic was particularly relevant for the automobile industry because they were the main market for disc brake...

(This article belongs to the Collection Fracture, Fatigue, and Wear)
  • Article
  • Open Access
11 Citations
5,942 Views
16 Pages

Prediction of Discretization of GMsFEM Using Deep Learning

  • Min Wang,
  • Siu Wun Cheung,
  • Eric T. Chung,
  • Yalchin Efendiev,
  • Wing Tat Leung and
  • Yating Wang

In this paper, we propose a deep-learning-based approach to a class of multiscale problems. The generalized multiscale finite element method (GMsFEM) has been proven successful as a model reduction technique of flow problems in heterogeneous and high...

(This article belongs to the Special Issue Computational Mathematics, Algorithms, and Data Processing)
  • Article
  • Open Access
4 Citations
4,234 Views
16 Pages

26 February 2022

A concurrent multiscale model coupling discrete dislocation dynamics to the finite element method is developed to investigate the plastic mechanism of materials at micron/submicron length scales. In this model, the plastic strain is computed in discr...

(This article belongs to the Special Issue Applications of Crystal Plasticity in Forming Technologies)
  • Article
  • Open Access
4 Citations
1,809 Views
28 Pages

An Adaptive Concurrent Multiscale Approach Based on the Phase-Field Cohesive Zone Model for the Failure Analysis of Masonry Structures

  • Fabrizio Greco,
  • Francesco Fabbrocino,
  • Lorenzo Leonetti,
  • Arturo Pascuzzo and
  • Girolamo Sgambitterra

27 November 2025

Simulating damage phenomena in masonry structures remains a significant challenge because of the intricate and heterogeneous nature of this material. An accurate evaluation of fracture behavior is essential for assessing the bearing capacity of these...

(This article belongs to the Special Issue Advanced Numerical Approaches to Simulate Crack Propagation Mechanisms in Homogeneous and Heterogeneous Materials)
  • Article
  • Open Access
1,729 Views
17 Pages

14 November 2024

In this study, a multiscale model is developed through secondary development (UMAT and UEXTERNALDB) in Abaqus with the objective of simulating the thermal deformation process with dynamic recrystallization behavior. The model couples the finite eleme...

  • Article
  • Open Access
9 Citations
4,563 Views
14 Pages

27 December 2023

Structures made of heterogeneous materials, such as composites, often require a multiscale approach when their behavior is simulated using the finite element method. By solving the boundary value problem of the macroscale model, for previously homoge...

(This article belongs to the Special Issue Computational Modelling and Design of Novel Engineering Materials (Second Edition))
  • Article
  • Open Access
9 Citations
3,016 Views
17 Pages

20 July 2024

CFRP hybrid bonded–bolted (HBB) joints combine the advantages of traditional joining methods, namely adhesive bonding, and bolting, to achieve optimal connection performance, making them the most favored connection method. The structural parame...

(This article belongs to the Special Issue Multiscale Modeling and Simulation of Polymer-Based Composites)
  • Article
  • Open Access
7 Citations
3,366 Views
29 Pages

DG-GMsFEM for Problems in Perforated Domains with Non-Homogeneous Boundary Conditions

  • Valentin Alekseev,
  • Maria Vasilyeva,
  • Uygulaana Kalachikova and
  • Eric T. Chung

Problems in perforated media are complex and require high resolution grid construction to capture complex irregular perforation boundaries leading to the large discrete system of equations. In this paper, we develop a multiscale model reduction techn...

  • Article
  • Open Access
7 Citations
2,881 Views
13 Pages

Downscaled Finite Element Modeling of Metal Targets for Surface Roughness Level under Pulsed Laser Irradiation

  • Evaggelos Kaselouris,
  • Kyriaki Kosma,
  • Yannis Orphanos,
  • Alexandros Skoulakis,
  • Ioannis Fitilis,
  • Angelos P. Markopoulos,
  • Makis Bakarezos,
  • Michael Tatarakis,
  • Nektarios A. Papadogiannis and
  • Vasilis Dimitriou

29 January 2021

A three-dimensional, thermal-structural finite element model, originally developed for the study of laser–solid interactions and the generation and propagation of surface acoustic waves in the macroscopic level, was downscaled for the investiga...

(This article belongs to the Section Applied Physics General)
  • Article
  • Open Access
7 Citations
10,273 Views
16 Pages

23 April 2014

Micro-cantilever sensors are widely used to detect biomolecules, chemical gases, and ionic species. However, the theoretical descriptions and predictive modeling of these devices are not well developed, and lag behind advances in fabrication and appl...

(This article belongs to the Special Issue Nanomechanical Sensors)
  • Article
  • Open Access
17 Citations
3,677 Views
19 Pages

13 October 2022

Additive manufacturing (AM) has inherent mechanical strength inconsistencies when the build orientation changes. To address this issue, theoretical models, including analytical and numerical models, can be developed to predict the material properties...

(This article belongs to the Special Issue New Progress of Polymeric Materials in Advanced Manufacturing)
  • Article
  • Open Access
8 Citations
2,638 Views
16 Pages

12 November 2024

Accurate material performance parameters are the prerequisite for conducting composite material structural analysis and design. However, the complex multiscale structure of ceramic matrix composites (CMCs) makes it extremely difficult to accurately o...

(This article belongs to the Special Issue Advanced Composite Materials in Aerospace)
  • Article
  • Open Access
1 Citations
1,276 Views
21 Pages

Multiscale Simulation of Crack Propagation in Impact-Welded Al4Cu9 Alloy Based on Cohesive Zone Model

  • Rongqing Luo,
  • Dingjun Xiao,
  • Guangzhao Pei,
  • Haixia Yan,
  • Sen Han,
  • Jiajie Jiang and
  • Miaomiao Zhang

23 October 2025

The fracture behavior of the Al4Cu9 intermetallic compound at the interface of impact-welded Cu/Al joints remains insufficiently explored through integrated multiscale modeling and experimental validation. In this study, molecular dynamic (MD) simula...

(This article belongs to the Section Manufacturing Processes and Systems)
  • Feature Paper
  • Article
  • Open Access
17 Citations
6,063 Views
37 Pages

FE2 Computations with Deep Neural Networks: Algorithmic Structure, Data Generation, and Implementation

  • Hamidreza Eivazi,
  • Jendrik-Alexander Tröger,
  • Stefan Wittek,
  • Stefan Hartmann and
  • Andreas Rausch

Multiscale FE2 computations enable the consideration of the micro-mechanical material structure in macroscopical simulations. However, these computations are very time-consuming because of numerous evaluations of a representative volume element, whic...

(This article belongs to the Collection Feature Papers in Mathematical and Computational Applications 2023)
  • Article
  • Open Access
3 Citations
2,695 Views
23 Pages

In the present study, multiscale finite element (FE) models of half-through steel basket-handle arch bridges were established. The eigenvalue analyses were conducted to explore the dynamic characteristics of the arch bridges based on the FE models. I...

  • Article
  • Open Access
455 Views
23 Pages

In this paper, a hybrid model reduction method for solving flows in fractured media is proposed. The approach integrates the Generalized Multiscale Finite Element Method (GMsFEM) with a novel variable-separation (VS) technique. Compared with many wid...

(This article belongs to the Special Issue Advances in Computational Methods for Fluid Flow)
  • Article
  • Open Access
15 Citations
4,537 Views
17 Pages

27 November 2020

The mechanical properties of the material are essential to identify the material behavior of the structure. Predicting four-directional braided composites’ mechanical properties based on accurate modeling is an essential issue among researchers...

(This article belongs to the Special Issue Advanced Fiber Reinforced Polymer Composites)
  • Article
  • Open Access
9 Citations
3,051 Views
21 Pages

11 February 2024

Magnetoelectric (ME) magnetic field sensors are novel sensing devices of great interest in the field of biomagnetic measurements. We investigate the influence of magnetic crosstalk and the linearity of the response of ME sensors in different array an...

(This article belongs to the Special Issue Biomedical Electronics and Wearable Systems)
  • Article
  • Open Access
5 Citations
2,587 Views
14 Pages

29 November 2022

Irradiation-induced swelling plays a key role in determining fuel performance. Due to their high cost and time demands, experimental research methods are ineffective. Knowledge-based multiscale simulations are also constrained by the loss of trustwor...

(This article belongs to the Special Issue Electro-Chemo-Mechanical Characterization and Modelling of Advanced Materials)
  • Proceeding Paper
  • Open Access
4 Citations
4,210 Views
16 Pages

Multi-Scale Modeling of Polymeric Metamaterials: Bridging Design and Performance—A Review

  • Siti Nur Sakinah Jamaludin,
  • Nik Mohd Izual Nik Ibrahim,
  • Mohd Zaidi Azir,
  • Noor Mazni Ismail and
  • Shahnor Basri

Polymers, as metamaterials, represent an emerging area of research, where designed microstructural geometries lead to the competitively superior mechanical properties in these materials. Such materials are quite broadly used in energy absorption, imp...

(This article belongs to the Proceedings of The 8th Mechanical Engineering, Science and Technology International Conference)
  • Article
  • Open Access
5 Citations
2,397 Views
18 Pages

Multi-Scale Anisotropic Yield Function Based on Neural Network Model

  • Hongchun Shang,
  • Lanjie Niu,
  • Zhongwang Tian,
  • Chenyang Fan,
  • Zhewei Zhang and
  • Yanshan Lou

6 February 2025

The increasingly complex form of traditional anisotropic yield functions brings difficulties to parameter calibration and finite element application, and it is necessary to establish a unified paradigm model for engineering applications. In this stud...

(This article belongs to the Section Metals and Alloys)
  • Article
  • Open Access
3 Citations
2,647 Views
17 Pages

18 April 2022

In this paper, hierarchical studies based on both analytical and computational approaches have been employed to validate and improve current structural designs of mud holding tanks for hydraulic fracturing in petroleum industries. Through detailed co...

  • Article
  • Open Access
549 Views
23 Pages

Polypropylene fibers provide an innovative solution for enhancing the crack resistance of tunnel lining segments. However, existing macro-models obscure the distinct effects of fibers on the mortar and ITZ, while explicit meso-modeling remains comput...

(This article belongs to the Special Issue Innovative Applications of Fiber-Reinforced Concrete and Composites for Structural Reinforcement)
  • Article
  • Open Access
14 Citations
3,387 Views
15 Pages

A Micromechanical Analysis to the Viscoplastic Behavior of Sintered Silver Joints under Shear Loading

  • Kun Ma,
  • Xun Liu,
  • Yameng Sun,
  • Yifan Song,
  • Zheng Feng,
  • Yang Zhou and
  • Sheng Liu

19 June 2023

Ag paste has been recognized as a promising substitute for Sn/Pb solder in SiC or GaN power electronic devices, owing to its ability to withstand high temperatures and facilitate low-temperature packing. The reliability of these high-power circuits i...

(This article belongs to the Special Issue Numerical Simulation Methods for Analyzing Fatigue and Fracture Behavior in Metallic Materials)
  • Article
  • Open Access
5 Citations
3,224 Views
23 Pages

This paper presents a thermo-mechanical model with phase transition considering changes in the mechanical properties of the medium. The proposed thermo-mechanical model is described by a system of partial differential equations for temperature and di...

(This article belongs to the Special Issue Application of Finite Element Methods)
  • Article
  • Open Access
20 Citations
3,978 Views
32 Pages

26 August 2022

Additive manufacturing is an emerging technology and provides high design flexibility to customers. Fused deposition modeling (FDM) is an economical and promising additive manufacturing method. Due to its many advantages, FDM received great attention...

(This article belongs to the Special Issue Structure and Properties of Polymeric Materials in Additive Manufacturing)
  • Article
  • Open Access
4 Citations
1,834 Views
13 Pages

29 February 2024

Phase-change materials (PCMs) are commonly employed in building service equipment to regulate indoor temperatures and reduce energy consumption. This study conducted multi-scale finite element modeling to analyze the steady-state and dynamic thermal...

(This article belongs to the Section Building Energy, Physics, Environment, and Systems)
  • Article
  • Open Access
757 Views
35 Pages

The conventional microstepping driving method suffers from significant periodic speed oscillations under ultra-low-speed conditions, which fail to meet the stringent demand for smooth operation of ultrasonic motors in semiconductor packaging. Most ex...

(This article belongs to the Section E:Engineering and Technology)
  • Article
  • Open Access
4 Citations
2,550 Views
26 Pages

27 March 2025

A neural network model for a constitutive law in nonlinear structures is proposed in this paper. The artificial neural network (ANN) model is constructed based on a data set of responses from representative volume elements, which was calculated by fi...

(This article belongs to the Special Issue Applications in Neural and Symbolic Artificial Intelligence)
  • Article
  • Open Access
7 Citations
3,041 Views
17 Pages

8 July 2021

In this paper, we present a new approach to model the steady-state heat transfer in heterogeneous materials. The multiscale finite element method (MsFEM) is improved and used to solve this problem. MsFEM is a fast and flexible method for upscaling. I...

(This article belongs to the Special Issue Computational Mechanics of Structures and Materials)
  • Article
  • Open Access
722 Views
19 Pages

Skeletal muscle mechanics arise from hierarchical fiber–matrix interactions spanning multiple length scales. This study presents a computationally efficient, composite-inspired multiscale finite element framework that links muscle microstructur...

(This article belongs to the Special Issue Advances in Bio-Inspired Design and Characterization of 3D-Printed Multimaterial Composites and Heterogeneous Structures)
  • Article
  • Open Access
3 Citations
3,029 Views
24 Pages

This study investigates the structural performance and load-bearing capacity of single- and double-story modular bridge configurations using both experimental testing and finite element analysis. A full-scale field test was conducted on a 45.7 m doub...

(This article belongs to the Special Issue Sustainable and Low-Carbon Building Materials and Structures)
  • Article
  • Open Access
1 Citations
1,363 Views
21 Pages

Flow Behavior Analysis of the Cold Rolling Deformation of an M50 Bearing Ring Based on the Multiscale Finite Element Model

  • Wenting Wei,
  • Zheng Liu,
  • Qinglong Liu,
  • Guanghua Zhou,
  • Guocheng Liu,
  • Yanxiong Liu and
  • Lin Hua

27 December 2024

Through the ferrite single-phase parameters of M50 bearing steel obtained based on nanoindentation experiments and the representative volume element (RVE) model established based on the real microstructure of M50, this paper established a multiscale...

(This article belongs to the Special Issue Metalworking Processes: Theoretical and Experimental Study)
  • Article
  • Open Access
11 Citations
3,376 Views
17 Pages

Learning Algorithms for Coarsening Uncertainty Space and Applications to Multiscale Simulations

  • Zecheng Zhang,
  • Eric T. Chung,
  • Yalchin Efendiev and
  • Wing Tat Leung

In this paper, we investigate and design multiscale simulations for stochastic multiscale PDEs. As for the space, we consider a coarse grid and a known multiscale method, the generalized multiscale finite element method (GMsFEM). In order to obtain a...

(This article belongs to the Special Issue Computational Mathematics, Algorithms, and Data Processing)
  • Article
  • Open Access
2,592 Views
16 Pages

10 October 2024

In this study, a novel non-cooperative two-player game for minimizing static (Player 1) and dynamic (Player 2) compliances is introduced, implemented, and demonstrated using a multi-scale topology optimization framework for triply periodic minimal su...

  • Review
  • Open Access
6 Citations
2,655 Views
18 Pages

12 August 2025

The manufacturing of multiscale composite structures in aerospace engineering is governed by complex interactions among material heterogeneity, fluid rheology, and multiphysics phenomena—including thermal, chemical, electrical, and mechanical e...

(This article belongs to the Special Issue Modeling and Simulation of Composite Materials and Structures: 2nd Edition)
  • Article
  • Open Access
3 Citations
2,109 Views
20 Pages

Numerical Modeling of Residual Stresses and Fracture Strengths of Ba0.5Sr0.5Co0.8Fe0.2O3−δ in Reactive Air Brazed Joints

  • Donat Rudenskiy,
  • Simone Herzog,
  • Lutz Horbach,
  • Nils Christian Gebhardt,
  • Felix Weber,
  • Anke Kaletsch and
  • Christoph Broeckmann

21 November 2023

Reactive Air Brazing (RAB) enables the joining of vacuum-sensitive oxide ceramics, such as Ba0.5Sr0.5Co0.8Fe0.2O3−δ (BSCF), to metals in a one-step process. However, damage may form in ceramic or joint during RAB. In this work, experiment...

(This article belongs to the Section Advanced and Functional Ceramics and Glasses)
  • Article
  • Open Access
17 Citations
6,190 Views
21 Pages

The objective of the current research work is to study the differences between the predicted ablation volume in homogeneous and heterogeneous models of typical radiofrequency (RF) procedures for pain relief. A three-dimensional computational domain c...

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