Article
Materials Science, Multidisciplinary
Peter Yichen Chen, Maytee Chantharayukhonthorn, Yonghao Yue, Eitan Grinspun, Ken Kamrin
Summary: The paper introduces a hybrid discrete-continuum technique that combines the speed of the continuum method with the grain-scale accuracy of the discrete method. By monitoring and adjusting in real-time during simulations, the method is able to effectively capture the characteristics of granular materials in shear localization problems.
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
(2021)
Article
Engineering, Multidisciplinary
Shiwei Zhao, Jidong Zhao, Weijian Liang
Summary: The article introduces a novel parallel computing framework for large-scale and multiscale simulations of granular media, utilizing RVE parallelism and GPU-specific techniques. Benchmark tests show that GoDEM can achieve a speedup of approximately 350 compared to a single-CPU-core code.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
(2021)
Article
Engineering, Multidisciplinary
Tongming Qu, Yuntian Feng, Min Wang
Summary: This work develops an adaptive RVE model combined with an EPB algorithm for hierarchical multiscale analysis of granular materials undergoing large deformation, addressing the issue of loss of representativeness in current RVE models.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
(2021)
Article
Engineering, Mechanical
Gilles Rousselier
Summary: The paper compares the mechanical behaviors of the GTN model and the Rousselier model, revealing their different performances in strain localization, as well as discussing issues related to void growth and finite element discretization. The GTN model is unable to achieve plane strain localization under certain stress conditions, while the Rousselier model is capable of achieving this goal under all stress conditions.
INTERNATIONAL JOURNAL OF PLASTICITY
(2021)
Article
Engineering, Geological
Yupeng Jiang, Yidong Zhao, Clarence E. Choi, Jinhyun Choo
Summary: This article introduces a hybrid continuum-discrete approach for efficiently simulating granular impact dynamics. By enhancing the existing methods and introducing new components, the proposed approach can accurately reproduce various parameters of granular impact dynamics. Through experimental validation and parameter studies, key factors for successful simulation are identified.
Article
Engineering, Mechanical
Shiwei Zhao, Hao Chen, Jidong Zhao
Summary: This paper introduces a hierarchical multiscale modeling paradigm for simulating freeze-thaw behavior in granular media. The approach combines a continuum-based mixture theory with a micromechanics-based homogenization technique, allowing for the simulation of freeze-thaw processes based on constitutive responses extracted from representative volume elements (RVEs) using the discrete element method (DEM). The proposed strategy bypasses the need for phenomenological thermo-mechanical constitutive models.
ACTA MECHANICA SINICA
(2023)
Article
Mechanics
Sina Massoumi, Noel Challamel, Jean Lerbet, Antoine Wautier, Francois Nicot, Felix Darve
Summary: This study aims to better understand the length scale effects on the bending response of granular beams by investigating a unidimensional discrete granular chain. The bending deformation solutions of the chain asymptotically converge towards the continuum beam model, showing close and eventually coincident results between the granular model and the nonlocal beam model.
Article
Mechanics
Johannes Reiner, Xiaodong Xu, Navid Zobeiry, Reza Vaziri, Stephen R. Hallett, Michael R. Wisnom
Summary: A virtual finite element framework is proposed to simulate fiber-dominated damage behavior in composite laminates under tensile loading, transitioning from high fidelity to computationally efficient models. The effectiveness of the nonlocal continuum damage model CODAM2 in predicting structural response in large-scale tests is demonstrated through comparison with high fidelity models and experimental data.
COMPOSITE STRUCTURES
(2021)
Review
Chemistry, Multidisciplinary
Ali Aykut Akalin, Baris Dedekarginoglu, Sae Rome Choi, Bumsoo Han, Altug Ozcelikkale
Summary: Computational modeling of drug delivery is crucial in nanomedicine for rational design of drug carriers. Multiscale modeling approaches simulate transport processes across various length and time scales. Challenges remain in model parametrization and validation in the presence of disease-induced heterogeneities.
PHARMACEUTICAL RESEARCH
(2023)
Article
Computer Science, Interdisciplinary Applications
Wei Xiong, Jianfeng Wang, Mengmeng Wu
Summary: This paper uses a micro-tomography-based discrete element method to generate a database and neural network models for predicting the constitutive behaviors of granular soils. The trained models can reasonably predict the stress-strain relationship, with GRU model showing the best performance.
COMPUTERS AND GEOTECHNICS
(2023)
Article
Materials Science, Multidisciplinary
Mohammad Sarkari Khorrami, Jaber Rezaei Mianroodi, Bob Svendsen
Summary: The purpose of this work is to develop and determine higher-order continuum-like measures for characterizing discrete kinematic data. The concept of discrete local deformation is introduced and utilized to characterize non-affine and incompatible displacement information. The approach is demonstrated and verified using examples based on non-affine and incompatible displacement information.
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
(2022)
Article
Mathematics, Applied
Andrea Braides, Andrea Causin, Margherita Solci
Summary: This paper focuses on the discrete approximation of functionals depending on nonlocal gradients, and proves that the discretized functionals are coercive in classical Sobolev spaces.
ADVANCES IN CALCULUS OF VARIATIONS
(2023)
Article
Water Resources
Suaiba Mufti, Arghya Das
Summary: Characterizing and modeling the pore structure is crucial for simulating the flow through granular soils. This work presents a novel numerical framework for constructing the pore network of granular soils with a wide grain size variation. The multiscale pore network obtained accurately predicts the water retention properties of granular soils.
ADVANCES IN WATER RESOURCES
(2023)
Article
Mathematics, Applied
H. A. Erbay, S. Erbay, A. Erkip
Summary: This study investigates a general class of convolution-type nonlocal wave equations and proves that solutions converge to the corresponding solutions of the classical elasticity equation as nonlocality approaches zero. An energy estimate with no loss of derivative is critical in proving this convergence result. By considering the continuous limit of a discrete lattice dynamic model, the convergence of solutions from discrete lattice equation to classical elasticity equation is demonstrated.
PHYSICA D-NONLINEAR PHENOMENA
(2021)
Article
Acoustics
Sina Massoumi, Noel Challamel, Jean Lerbet
Summary: This study theoretically investigates the free vibration problem of a discrete granular system and analyzes the effects of microstructure on the dynamic behavior of the equivalent continuum structural model. Natural frequencies are calculated for both the discrete and continuous models, showing the dependency of beam dynamic responses on the beam length ratio.
JOURNAL OF SOUND AND VIBRATION
(2021)