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  • Article
  • Open Access
4 Citations
2,950 Views
16 Pages

Topological Representative Element Volume of Fractured Rock Mass

  • Mingwei Li,
  • Zhifang Zhou,
  • Meng Chen and
  • Jian Wu

10 March 2022

The representative element volume (REV) of the fractured rock mass is the basis for its homogenization, and is essential for the study of groundwater seepage. In order to determine a simple method for estimating REV, we studied the topological charac...

(This article belongs to the Topic Advances in Well and Borehole Hydraulics and Hydrogeology)
  • Article
  • Open Access
29 Citations
4,760 Views
16 Pages

17 April 2020

In this study, a novel approach for generating Representative Volume Elements (RVEs) is introduced. In contrast to common generators, the new RVE generator is based on discrete methods to reconstruct synthetic microstructures, using simple methods an...

(This article belongs to the Special Issue Micromechanics: Experiment, Modeling and Theory)
  • Article
  • Open Access
2 Citations
2,502 Views
22 Pages

Efficient Representative Volume Element of a Matrix–Precipitate Microstructure—Application on AlSi10Mg Alloy

  • Chantal Bouffioux,
  • Luc Papeleux,
  • Mathieu Calvat,
  • Hoang-Son Tran and ,
  • Fan Chen,
  • Jean-Philippe Ponthot,
  • Laurent Duchêne and
  • Anne Marie Habraken
  • + 3 authors+ 0 author

1 November 2024

In finite element models (FEMs), two- or three-dimensional Representative Volume Elements (RVEs) based on a statistical distribution of particles in a matrix can predict mechanical material properties. This article studies an alternative to 3D RVEs w...

(This article belongs to the Special Issue Feature Papers in Crystallography and Applications of Metallic Materials (2nd Edition))
  • Article
  • Open Access
4 Citations
1,593 Views
18 Pages

13 March 2025

On the Loess Plateau of China, the number of projects involving the excavation of mountains and the filling of valleys to create new land is rising. The loess excavated from the mountain is directly used as building material. After being filled into...

  • Article
  • Open Access
9 Citations
2,826 Views
30 Pages

11 May 2024

Magnetorheological elastomers (MREs) are a class of smart materials with rubber-like qualities, demonstrating revertible magnetic field-dependent viscoelastic properties, which makes them an ideal candidate for development of the next generation of a...

(This article belongs to the Special Issue Advances in Functional Rubber and Elastomer Composites II)
  • Article
  • Open Access
1 Citations
1,844 Views
16 Pages

21 October 2023

In this research, a multi-scale representative volume element method is introduced that combines the temperature and stress fields to analyze the force field distribution around microcracks in low-carbon steel using a combination of molecular dynamic...

(This article belongs to the Topic Advances in Building Simulation)
  • Article
  • Open Access
1 Citations
2,020 Views
19 Pages

25 August 2025

The representative volume element (RVE) is frequently used to forecast the mechanical properties of composites, where the distribution of fibers plays a significant role. This paper proposes a new RVE modeling method for unidirectional fiber-reinforc...

(This article belongs to the Section Polymer Composites and Nanocomposites)
  • Article
  • Open Access
6 Citations
5,296 Views
10 Pages

Experimental and Digimat-FE Based Representative Volume Element Analysis of Dye-Mixed Colored Resin and Carbon Fiber

  • Jee-Hyun Sim,
  • Dong-Hyeon Yeo,
  • Hyun-Sung Yoon,
  • Seong-Hun Yu and ,
  • Do-Hyun Lee and
  • Jin-Seok Bae
  • + 1 author+ 0 author

4 March 2022

Recently, the automobile industry has demanded weight reduction, so research on materials is being actively conducted. Among this research, carbon fiber-reinforced composite materials are being studied a lot in the automobile industry due to their ex...

(This article belongs to the Special Issue Advanced Epoxy-Based Materials II)
  • Article
  • Open Access
49 Citations
8,273 Views
18 Pages

Effect of 3D Representative Volume Element (RVE) Thickness on Stress and Strain Partitioning in Crystal Plasticity Simulations of Multi-Phase Materials

  • Faisal Qayyum,
  • Aqeel Afzal Chaudhry,
  • Sergey Guk,
  • Matthias Schmidtchen and ,
  • Rudolf Kawalla and
  • Ulrich Prahl
  • + 1 author+ 0 author

17 October 2020

Crystal plasticity simulations help to understand the local deformation behavior of multi-phase materials based on the microstructural attributes. The results of such simulations are mainly dependent on the Representative Volume Element (RVE) size an...

(This article belongs to the Special Issue Crystal Plasticity)
  • Article
  • Open Access
3 Citations
3,288 Views
14 Pages

19 December 2023

Improving the ductile deformation behavior of Mg-SiC nanocomposites without compromising strength is critical to enhancing their mechanical properties. Mg-SiC nanocomposites are produced through mechanical milling, cold isostatic pressing, sintering,...

(This article belongs to the Section Nanocomposites)
  • Article
  • Open Access
24 Citations
4,097 Views
20 Pages

24 December 2020

In this research, the effect of 2D and 3D Representative Volume Element (RVE) on the ductile damage behavior in single-phase (only ferrite) and dual-phase (ferrite and martensite) steels is analyzed. Physical and fitting parameters of the constitutiv...

(This article belongs to the Section Advanced Composites)
  • Article
  • Open Access
3 Citations
2,004 Views
17 Pages

29 December 2025

To reduce the reliance on large training sets for representative volume element (RVE) generation using machine learning, this work presents a novel approach based on physics-informed neural network (PINN) to generate RVEs for unidirectional fiber-rei...

(This article belongs to the Section Polymer Physics and Theory)
  • Article
  • Open Access
3 Citations
1,542 Views
23 Pages

Determining the Size of Representative Volume Elements for a Two-Dimensional Random Aggregate Numerical Model of Asphalt Mortar without Damage

  • Sheng Liang,
  • Jing Tao,
  • Xiaoming Zhao,
  • Zhong Liu and ,
  • Derun Zhang and
  • Chongzhi Tu
  • + 1 author+ 0 author

9 July 2024

The size of the representative volume element (RVE) for the two-dimensional (2D) random aggregate numerical model of asphalt mortar in a non-destructive state, which directly affects the time required to simulate the linear viscoelastic behavior from...

  • Article
  • Open Access
1 Citations
2,161 Views
13 Pages

15 April 2022

This study identified the governing variables affecting the effective properties of the representative volume element (RVE) of nanocomposites consisting of unidirectionally aligned carbon nanotubes (CNTs) and determined the mechanism through which th...

(This article belongs to the Special Issue Composite Structures - Modelling, Testing and Manufacturing)
  • Article
  • Open Access
3 Citations
1,639 Views
18 Pages

Natural fiber-reinforced unidirectional composites are increasingly adopted in modern industries due to their superior mechanical performance and desirable properties from both material and engineering perspectives. Among various approaches, represen...

  • Article
  • Open Access
30 Citations
8,174 Views
18 Pages

Representative Volume Element (RVE) Analysis for Mechanical Characterization of Fused Deposition Modeled Components

  • Patrich Ferretti,
  • Gian Maria Santi,
  • Christian Leon-Cardenas,
  • Elena Fusari and ,
  • Giampiero Donnici and
  • Leonardo Frizziero
  • + 1 author+ 0 author

15 October 2021

Additive manufacturing processes have evolved considerably in the past years, growing into a wide range of products through the use of different materials depending on its application sectors. Nevertheless, the fused deposition modelling (FDM) techni...

(This article belongs to the Special Issue Advanced Materials in 3D/4D Printing Technology)
  • Article
  • Open Access
25 Citations
8,766 Views
25 Pages

28 November 2013

This contribution presents a new framework for the computational homogenization of the mechanical properties of textile reinforced composites. A critical point in such computational procedures is the definition and discretization of realistic represe...

(This article belongs to the Special Issue Constitutive Behavior of Composite Materials)
  • Feature Paper
  • Article
  • Open Access
13 Citations
4,893 Views
16 Pages

8 June 2018

Crystal plasticity finite element (CPFE) simulations were performed on the representative volume elements (RVE) modeling body centered cubic (bcc) single, bi- and tri-crystals. The RVE model was designed to include a void inside a grain, at a grain b...

(This article belongs to the Special Issue Constitutive Modelling for Metals)
  • Article
  • Open Access
4 Citations
2,774 Views
22 Pages

27 September 2022

The objective of this study is to describe the stress relaxation behavior of an epoxy-based fiber-reinforced material. An existing incremental formulation of an orthotropic linear viscoelastic material behavior was adapted to Voigt notation and to th...

(This article belongs to the Topic Advanced Polymeric Composites: Processing, Characterization and Mechanical Behavior)
  • Article
  • Open Access
1 Citations
2,566 Views
18 Pages

Confining Stress Response to Hydraulic Fracturing Volumetric Opening on the Representative Volume Element (RVE) Scale

  • Shuaifang Guo,
  • Yunxing Cao,
  • Li Wang,
  • Xinsheng Zhang and ,
  • Wenying Zhang,
  • Haixiao Lin,
  • Zhengzheng Cao and
  • Bingbing Meng
  • + 3 authors+ 0 author

4 December 2023

Confining stress response is considered an accompanying behavior of hydraulic fracturing. Along these lines, an evaluation model of confining stress response was presented in this work. It was established on a rock representative volume element (RVE)...

(This article belongs to the Special Issue Advances in Water–Rock Interactions and Thermo-Hydro-Mechanical Processes)
  • Article
  • Open Access
4 Citations
1,674 Views
19 Pages

28 June 2023

As a naturally polycrystalline material, Yellow River ice exhibits complex mechanical properties that are closely related to its internal microstructure. To study the micromechanical properties of this ice, the geometrically representative volume ele...

(This article belongs to the Section Crystal Engineering)
  • Article
  • Open Access
16 Citations
3,438 Views
18 Pages

6 June 2022

Micromechanics models of composite materials are preferred in the analysis and design of composites for their high computational efficiency. However, the accuracy of the micromechanics models varies widely, depending on the volume fraction of inclusi...

(This article belongs to the Special Issue Experimental and Numerical Investigation of Composite Materials)
  • Article
  • Open Access
11 Citations
5,041 Views
20 Pages

12 January 2023

Due to the versatility of its implementation, additive manufacturing has become the enabling technology in the research and development of innovative engineering components. However, many experimental studies have shown inconsistent results and have...

(This article belongs to the Special Issue Carbon Fiber Composites, Volume II)
  • Article
  • Open Access
7 Citations
2,401 Views
18 Pages

12 September 2024

We present an efficient approach to evaluate the size dependency of elastic and plastic properties of metallic polycrystalline materials. Specifically, we consider different volume fractions of ferrite and martensite phases for the construction of th...

(This article belongs to the Special Issue Structural Mechanics: Theory, Method and Applications)
  • Article
  • Open Access
570 Views
21 Pages

6 July 2026

The fundamental issue in designing encapsulation-based self-healing concrete structures is the design of microcapsules. However there are few studies in the literature on this topic; not only is the fracture of microcapsules crucial for releasing the...

(This article belongs to the Special Issue Sustainability and Performance of Reinforced Concrete and Cement Composite)
  • Article
  • Open Access
6 Citations
2,857 Views
15 Pages

Strength Characteristics of Electrospun Coconut Fibre Reinforced Polylactic Acid: Experimental and Representative Volume Element (RVE) Prediction

  • Olugbenga Ogunbiyi,
  • Oluwashina Gbenebor,
  • Smith Salifu,
  • Samuel Olaleye and ,
  • Tamba Jamiru,
  • Rotimi Sadiku and
  • Samson Adeosun
  • + 2 authors+ 0 author

26 September 2022

Environmental conservation and waste control have informed and encouraged the use of biodegradable polymeric materials over synthetic non-biodegradable materials. It has been recognized that nano-sized biodegradable materials possess relatively good...

  • Article
  • Open Access
2 Citations
1,856 Views
24 Pages

Numerical Material Testing of Mineral-Impregnated Carbon Fiber Reinforcement for Concrete

  • Kai Zernsdorf,
  • Viktor Mechtcherine,
  • Manfred Curbach and
  • Thomas Bösche

3 February 2024

This work was dedicated to the simulation of fiber composite structures consisting of carbon fibers and mineral impregnation. The aim of this study was to generate a micromodel that predicts the properties of a mineral-impregnated carbon fiber reinfo...

(This article belongs to the Section Construction and Building Materials)
  • Article
  • Open Access
18 Citations
5,182 Views
14 Pages

20 January 2022

The microstructure-based finite element modeling (MB-FEM) of material representative volume element (RVE) is a widely used tool in the characterization and design of various composites. However, the MB-FEM has a number of deficiencies, e.g., time-con...

(This article belongs to the Special Issue Characterization and Modelling of Composites, Volume II)
  • Article
  • Open Access
7 Citations
2,401 Views
17 Pages

Statistical Homogenization of Elastic and Fracture Properties of a Sample Selective Laser Melting Material

  • Ryan P. Connor,
  • Balavignesh Vemparala,
  • Reza Abedi,
  • Giang Huynh and ,
  • Soheil Soghrati,
  • Chris T. Feldmeier and
  • Kevin Lamb
  • + 2 authors+ 0 author

16 November 2023

Selective laser melting (SLM) is an additive manufacturing technique commonly used in the rapid prototyping of components. The complexity of the SLM microstructure poses a unique challenge to deriving effective mechanical properties at different leng...

(This article belongs to the Special Issue Structural Mechanics: Theory, Method and Applications)
  • Feature Paper
  • Article
  • Open Access
19 Citations
6,377 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
4 Citations
2,249 Views
14 Pages

A Three-Dimensional Modeling Approach for Carbon Nanotubes Filled Polymers Utilizing the Modified Nearest Neighbor Algorithm

  • Junpu Wang,
  • Xiaozhuang Yue,
  • Yuxuan Wang,
  • Liupeng Di and ,
  • Wenzhi Wang,
  • Jingchao Wei and
  • Fei Yu
  • + 2 authors+ 0 author

6 October 2024

Carbon nanotubes (CNTs) are extensively utilized in the fabrication of high-performance composites due to their exceptional mechanical, electrical, and thermal characteristics. To investigate the mechanical properties of CNTs filled polymers accurate...

(This article belongs to the Section Polymer Composites and Nanocomposites)
  • Article
  • Open Access
112 Citations
15,000 Views
14 Pages

27 July 2016

Modeling the random fiber distribution of a fiber-reinforced composite is of great importance for studying the progressive failure behavior of the material on the micro scale. In this paper, we develop a new algorithm for generating random representa...

(This article belongs to the Special Issue Multiscale Methods and Application to Computational Materials Design)
  • Article
  • Open Access
14 Citations
3,985 Views
18 Pages

7 October 2022

To accurately evaluate the mechanical performance of three-dimensional (3D) braiding composites, it is essential to consider the braiding process and generate realistic representative volume element (RVE) structures. An efficient simulation methodolo...

(This article belongs to the Section Polymer Composites and Nanocomposites)
  • Article
  • Open Access
21 Citations
4,822 Views
23 Pages

14 April 2024

This study aims to critically assess different micromechanical analysis models applied to carbon-fiber-reinforced plastic (CFRP) composites, employing micromechanics-based homogenization to accurately predict their effective properties. The paper beg...

(This article belongs to the Section Polymer Composites and Nanocomposites)
  • Article
  • Open Access
1 Citations
1,020 Views
16 Pages

Finite Element-Based Methodology for the Evaluation of the Flexural Properties of Cement-Based Nanocomposites

  • Stylianos Anastopoulos,
  • Faidra Givannaki,
  • Paraskevas Papanikos,
  • Zoi S. Metaxa and
  • Nikolaos D. Alexopoulos

The main goal of the present article was to develop a methodology for the calculation of the flexural properties of a cement-based matrix with different multi-walled carbon nanotubes’ (CNTs) volume fraction as a reinforcement at early age. The...

(This article belongs to the Section Nanocomposites)
  • Article
  • Open Access
4 Citations
2,551 Views
17 Pages

19 February 2022

In this work, representative volume elements (RVEs) of composites, consisting of nanoporous gold and polymer, were investigated. Gold is of great interest as a special case of nanoporous metals as it deforms to large plastic strains when compressed,...

(This article belongs to the Section Materials Simulation and Design)
  • Article
  • Open Access
817 Views
17 Pages

6 March 2026

To ensure the viability of polymer materials, given the properties and limitations of polymers, hybrid materials have been developed that blend the features of all included components. Researchers have not explored the impacts of the length aspect ra...

(This article belongs to the Section Polymer Composites and Nanocomposites)
  • Article
  • Open Access
2 Citations
1,958 Views
30 Pages

24 July 2025

This paper provides research that shows that the scale and quantification of the degree of fracturing in a rock mass should and can be considered when estimating geological strength index (GSI) ratings for rock mass strength and deformability estimat...

(This article belongs to the Special Issue Rock-Like Material Characterization and Engineering Properties)
  • Article
  • Open Access
4 Citations
2,982 Views
14 Pages

16 April 2023

In recent decades, the construction of statistically similar representative volume elements (SSRVEs) of materials for use in numerical analyses has been accomplished utilizing various methods, tools, and frameworks. Such a framework is introduced in...

(This article belongs to the Special Issue Modeling and Simulation of Composite Materials and Structures)
  • Article
  • Open Access
2 Citations
2,027 Views
15 Pages

1 June 2024

This study investigates multiple cyclic loading scenarios of non-oriented electrical steel sheets through both experimental and numerical approaches. The numerical simulations were conducted using Representative Volume Elements generated with DRAGen....

(This article belongs to the Special Issue Microstructure and Mechanical Properties Relationship for Metallic Materials (2nd Edition))
  • Article
  • Open Access
28 Citations
4,372 Views
21 Pages

20 June 2025

This study proposes a novel algorithm for generating representative volume elements which mitigate microstructural inhomogeneities in fiber-reinforced composites. The algorithm integrates void characteristics obtained from micro-computed tomography t...

(This article belongs to the Section Polymer Composites and Nanocomposites)
  • Article
  • Open Access
3 Citations
2,155 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 and ,
  • Felix Weber,
  • Anke Kaletsch and
  • Christoph Broeckmann
  • + 2 authors+ 0 author

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
10 Citations
2,602 Views
13 Pages

17 July 2024

A study was conducted on the changes in mechanical properties and fatigue failure characteristics due to voids, one of the fabrication defects in composite materials. This study was primarily based on glass fiber fabrics applied to wind turbine blade...

(This article belongs to the Section Materials Science and Engineering)
  • Article
  • Open Access
11 Citations
3,638 Views
24 Pages

2 August 2023

Crystal plasticity finite element (CPFEM) modeling of metals that can be age hardened consisting of second phase particles is extensively performed based on representative volume element (RVE) models. The RVE model is generated for ferritic low-carbo...

(This article belongs to the Special Issue Numerical Analysis of Microstructure and Mechanical Properties in Metallic Materials)
  • Article
  • Open Access
27 Citations
8,694 Views
10 Pages

1 February 2022

In recent years, finite element analysis (FEA) models of different porous scaffold shapes consisting of various materials have been developed to predict the mechanical behaviour of the scaffolds and to address the initial goals of 3D printing. Althou...

(This article belongs to the Special Issue Characterization and Modelling of Composites, Volume II)
  • Article
  • Open Access
334 Views
27 Pages

7 October 2026

Diamond-reinforced sintered silver composites are considered promising thermal interface materials (TIMs) for power electronic packaging due to their combination of high thermal conductivity and mechanical reliability. This paper proposes and validat...

(This article belongs to the Special Issue Advanced Electronic Materials: Processing, Modeling, Failure Mechanisms, and Reliability)
  • Article
  • Open Access
869 Views
24 Pages

FEM-DEM Multiscale Numerical Method for Investigating Stress Gradient Effects in Granular Media

  • Jun Chen,
  • Ruilin Li,
  • Zhentao Li,
  • Youliang Chen and ,
  • Lipeng Huang,
  • Shuo Han and
  • Tiantian Tang
  • + 2 authors+ 0 author

20 April 2026

The gravitational field represents the fundamental stress field in geotechnical engineering. Its influence on soil mechanical behavior is manifested not only through variations in stress magnitude but also through stress gradient effects. However, ex...

(This article belongs to the Section Civil Engineering)
  • Article
  • Open Access
7 Citations
4,047 Views
22 Pages

13 January 2022

Fiber-optic gyroscopes (FOGs) are common rotation measurement devices in aerospace applications. They have a wide range of diversity in length and in the winding radius of the coil to meet system requirements. Every dimensional parameter in the coil...

(This article belongs to the Collection Optical Fiber Sensors)
  • Article
  • Open Access
9 Citations
5,121 Views
17 Pages

Tunable Coefficient of Thermal Expansion of Composite Materials for Thin-Film Coatings

  • Xu Long,
  • Tianxiong Su,
  • Zubin Chen,
  • Yutai Su and
  • Kim S. Siow

15 June 2022

In most engineering applications, the coefficients of thermal expansion (CTEs) of different materials in integrated structures are inconsistent, especially for the thin-film multilayered coatings. Therefore, mismatched thermal deformation is induced...

(This article belongs to the Special Issue Coatings for Advanced Devices)
  • Article
  • Open Access
25 Citations
7,591 Views
15 Pages

23 January 2022

Knitted textiles are a popular reinforcement in polymer composites for their high drape properties and superior impact energy absorption, making them suitable for specific composite components. Nevertheless, limited attention has been paid to modelin...

(This article belongs to the Special Issue Polymers and Fibers)

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