4.7 Article

A data-driven computational homogenization method based on neural networks for the nonlinear anisotropic electrical response of graphene/polymer nanocomposites

期刊

COMPUTATIONAL MECHANICS
卷 64, 期 2, 页码 307-321

出版社

SPRINGER
DOI: 10.1007/s00466-018-1643-0

关键词

Multiscale analysis; Data-driven analysis; Graphene nanocomposites; Homogenization; Electric behavior; Artificial neural network

资金

  1. Institut Universitaire de France (IUF)

向作者/读者索取更多资源

In this paper, a data-driven-based computational homogenization method based on neural networks is proposed to describe the nonlinear electric conduction in random graphene-polymer nanocomposites. In the proposed technique, the nonlinear effective electric constitutive law is provided by a neural network surrogate model constructed through a learning phase on a set of RVE nonlinear computations. In contrast to multilevel (FE2) methods where each integration point is associated with a full nonlinear RVE calculation, the nonlinear macroscopic electric field-electric flux relationship is efficiently evaluated by the surrogate neural network model, reducing drastically (by several order of magnitudes) the computational times in multilevel calculations. Several examples are presented, where the RVE contains aligned graphene sheets embedded in a polymer matrix. The nonlinear behavior is due to the modeling of the tunelling effect at the scale of graphene sheets.

作者

我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。

评论

主要评分

4.7
评分不足

次要评分

新颖性
-
重要性
-
科学严谨性
-
评价这篇论文

推荐

Article Materials Science, Composites

Multi-scale study of CNT and CNT-COOH reinforced epoxy composites: dispersion state, interfacial interaction vs mechanical properties

Haitang Yang, Yanping Yang, Yu Liu, Delong He, Jinbo Bai

Summary: By studying original CNTs and carboxylic acid-modified CNTs in epoxy composites, this research found that the modified CNTs exhibited better mechanical properties and dispersion state, while confirming the importance of interface analysis.

COMPOSITE INTERFACES (2021)

Article Engineering, Multidisciplinary

A stochastic multiscale formulation for isogeometric composite Kirchhoff-Love shells

Dimitrios Tsapetis, Gerasimos Sotiropoulos, George Stavroulakis, Vissarion Papadopoulos, Manolis Papadrakakis

Summary: This study extends isogeometric thin shell formulations to incorporate constitutive laws generated by stochastic multiscale analyses, demonstrating the impact of material and inclusion variability on structural response through the use of stochastic processes. The consideration of spatial material variability in shell structures makes this formulation an ideal candidate for simulating composite material shell structures.

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2021)

Article Mechanics

An extended finite element method formulation for modeling multi-phase boundary interactions in steady state heat conduction problems

Serafeim Bakalakos, Ioannis Kalogeris, Vissarion Papadopoulos

Summary: This paper introduces an XFEM formulation for heat transfer analysis of multi-phase materials, which simplifies the analysis process by capturing discontinuities in temperature field with appropriate discontinuous functions. Through validation and simulation, the method's effectiveness in heat conduction problems is demonstrated.

COMPOSITE STRUCTURES (2021)

Article Computer Science, Interdisciplinary Applications

Subset simulation for problems with strongly non-Gaussian, highly anisotropic, and degenerate distributions

Michael D. Shields, Dimitris G. Giovanis, V. S. Sundar

Summary: The paper proposes the use of an affine invariant ensemble MCMC sampler for conditional sampling to address extreme cases where subset simulation breaks down. The algorithm automatically varies step size and is particularly effective for estimating failure probabilities in strongly non-Gaussian and lower effective dimension scenarios.

COMPUTERS & STRUCTURES (2021)

Article Engineering, Multidisciplinary

Diffusion maps-aided Neural Networks for the solution of parametrized PDEs

Ioannis Kalogeris, Vissarion Papadopoulos

Summary: This work introduces a surrogate modeling strategy based on diffusion maps manifold learning and artificial neural networks to efficiently predict responses of complex systems. By utilizing dimensionality reduction with diffusion maps, the method overcomes the curse of dimensionality and improves prediction accuracy and training efficiency.

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2021)

Article Materials Science, Composites

Identification of elastic properties of interphase and interface in graphene-polymer nanocomposites by atomistic simulations

Xiaoxin Lu, Fabrice Detrez, Julien Yvonnet, Jinbo Bai

Summary: The study developed the ALIAS method to identify the local stiffness tensor of graphene polymer nanocomposites, revealing the modeling of graphene at continuum scale and its effects on the overall elastic properties. Results showed a significant softening effect due to interfaces, while wrinkles increased the stiffness of nanocomposites.

COMPOSITES SCIENCE AND TECHNOLOGY (2021)

Article Construction & Building Technology

Stability of Single-Bolted Thin-Walled Steel Angle Members with Stochastic Imperfections

Zacharias Fasoulakis, Dimitrios Vamvatsikos, Vissarion Papadopoulos

Summary: This paper focuses on probabilistic estimation of the buckling capacity of single-bolted members with stochastic geometric imperfections from plain or lipped angle sections. An experimental-stochastic mechanics approach is adopted, and it is found that imperfections have a lower influence compared to material properties and lateral loading for typical lattice tower angle members.

JOURNAL OF STRUCTURAL ENGINEERING (2021)

Article Chemistry, Physical

A Stochastic FE2 Data-Driven Method for Nonlinear Multiscale Modeling

Xiaoxin Lu, Julien Yvonnet, Leonidas Papadopoulos, Ioannis Kalogeris, Vissarion Papadopoulos

Summary: A stochastic data-driven multilevel finite-element (FE2) method is introduced for random nonlinear multiscale calculations, which uses a hybrid NN-I scheme to construct a surrogate model of the macroscopic nonlinear constitutive law and significantly reduces computational time.

MATERIALS (2021)

Article Engineering, Multidisciplinary

A neural network-aided Bayesian identification framework for multiscale modeling of nanocomposites

Stefanos Pyrialakos, Ioannis Kalogeris, Gerasimos Sotiropoulos, Vissarion Papadopoulos

Summary: This study presents a Bayesian framework for determining the mechanical properties of carbon-based nanocomposites by updating prior beliefs using measurements on large-scale structures. A surrogate modeling technique utilizing artificial neural networks is developed to predict the nonlinear stress-strain relationship of representative volume elements. This methodology is validated through numerical examples and can be applied to other physically analogous phenomena related to composite materials modeling.

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2021)

Article Materials Science, Multidisciplinary

An integrated XFEM modeling with experimental measurements for optimizing thermal conductivity in carbon nanotube reinforced polyethylene

Serafeim Bakalakos, Ioannis Kalogeris, Vissarion Papadopoulos, Manolis Papadrakakis, Panagiotis Maroulas, Dimitrios A. Dragatogiannis, Costas A. Charitidis

Summary: This paper investigates the thermal properties of carbon nanotube reinforced polyethylene as a highly conductive material. An integrated approach combining numerical and experimental procedures is proposed. The interfacial thermal conductance parameter value is inferred by calibrating the numerically predicted effective conductivity to the series of experimental measurements, demonstrating the potential of the composite as a highly conductive material.

MODELLING AND SIMULATION IN MATERIALS SCIENCE AND ENGINEERING (2022)

Article Engineering, Multidisciplinary

Nonlinear multiscale modeling of thin composite shells at finite deformations

Gerasimos Sotiropoulos, Vissarion Papadopoulos

Summary: In this work, a formulation and modeling scheme for the non-linear multi-scale analysis of thin shells is presented. This method is capable of dealing with large deformations and heterogeneous micro-structures composed of non-linear materials and cohesive interfaces. By utilizing an attached coordinate system, the projection of strain measures allows for the elimination of large rotations, simplifying the boundary value problem at the micro-structural level. The resulting methodology has been tested against popular benchmarks and successfully integrated in existing FE2 codes, providing countless simulation possibilities and wide applicability in engineering fields.

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2022)

Article Automation & Control Systems

Non-intrusive surrogate modeling for parametrized time-dependent partial differential equations using convolutional autoencoders

Stefanos Nikolopoulos, Ioannis Kalogeris, Vissarion Papadopoulos

Summary: This paper presents a novel non-intrusive surrogate modeling scheme based on deep learning for predictive modeling of complex systems described by parametrized time-dependent partial differential equations. The proposed method utilizes a convolutional autoencoder and a feed forward neural network to establish a mapping from the problem's parametric space to its solution space. The surrogate model is capable of predicting the entire time history response simultaneously with remarkable computational gains and very high accuracy.

ENGINEERING APPLICATIONS OF ARTIFICIAL INTELLIGENCE (2022)

Article Engineering, Civil

Machine learning accelerated transient analysis of stochastic nonlinear structures

Stefanos Nikolopoulos, Ioannis Kalogeris, Vissarion Papadopoulos

Summary: This paper presents a non-intrusive surrogate modeling scheme for transient response analysis of nonlinear structures involving random parameters using a two-level neural network architecture. The proposed scheme combines feed-forward neural networks with convolutional autoencoders to deliver an accurate and inexpensive emulator of the structural system under investigation.

ENGINEERING STRUCTURES (2022)

Article Engineering, Multidisciplinary

Grassmannian diffusion maps based surrogate modeling via geometric harmonics

Ketson R. M. dos Santos, Dimitris G. Giovanis, Katiana Kontolati, Dimitrios Loukrezis, Michael D. Shields

Summary: A novel surrogate model based on Grassmannian diffusion maps and geometric harmonics is developed for predicting the response of complex physical phenomena. The model utilizes low-dimensional representation and mapping techniques to reconstruct the full solution. The performance of the model is verified through various examples.

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING (2022)

Article Engineering, Mechanical

Imprecise subset simulation

Dimitrios G. Giovanis, Michael D. Shields

Summary: The objective of this study is to quantify the uncertainty in probability of failure estimates resulting from incomplete knowledge of the probability distributions for the input random variables. The study proposes a framework that combines Subset Simulation (SuS) with Bayesian/information theoretic multi-model inference, and through methods such as multi-model inference and importance sampling, empirical probability distributions of failure probabilities that provide direct estimates of the uncertainty in failure probability estimates are obtained.

PROBABILISTIC ENGINEERING MECHANICS (2022)

暂无数据